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154104652320432 = 243111273496584953
BaseRepresentation
bin100011000010100001001001…
…000011110100111010110000
3202012122021001011222012110120
4203002201021003310322300
5130144322311443223212
61303430411104330240
744313456641621442
oct4302411103647260
9665567034865416
10154104652320432
114511446380a150
121534a620313980
1367cb010c7c9b8
142a0a9c2616492
1512c3937c9e88c
hex8c28490f4eb0

154104652320432 has 160 divisors (see below), whose sum is σ = 438968837529600. Its totient is φ = 46197916047360.

The previous prime is 154104652320431. The next prime is 154104652320511. The reversal of 154104652320432 is 234023256401451.

It is not an unprimeable number, because it can be changed into a prime (154104652320431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20110068 + ... + 26695020.

It is an arithmetic number, because the mean of its divisors is an integer number (2743555234560).

Almost surely, 2154104652320432 is an apocalyptic number.

154104652320432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 154104652320432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219484418764800).

154104652320432 is an abundant number, since it is smaller than the sum of its proper divisors (284864185209168).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

154104652320432 is a wasteful number, since it uses less digits than its factorization.

154104652320432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6585451 (or 6585445 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 42.

The spelling of 154104652320432 in words is "one hundred fifty-four trillion, one hundred four billion, six hundred fifty-two million, three hundred twenty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 127 132 176 254 264 349 381 508 528 698 762 1016 1047 1396 1397 1524 2032 2094 2792 2794 3048 3839 4188 4191 5584 5588 6096 7678 8376 8382 11176 11517 15356 16752 16764 22352 23034 30712 33528 44323 46068 61424 67056 88646 92136 132969 177292 184272 265938 354584 487553 531876 709168 975106 1063752 1462659 1950212 2127504 2925318 3900424 5850636 6584953 7800848 11701272 13169906 19754859 23402544 26339812 39509718 52679624 72434483 79019436 105359248 144868966 158038872 217303449 289737932 316077744 434606898 579475864 836289031 869213796 1158951728 1672578062 1738427592 2298148597 2508867093 3345156124 3476855184 4596297194 5017734186 6690312248 6894445791 9192594388 9199179341 10035468372 13380624496 13788891582 18385188776 18398358682 20070936744 25279634567 27577783164 27597538023 36770377552 36796717364 40141873488 50559269134 55155566328 55195076046 73593434728 75838903701 101118538268 110311132656 110390152092 147186869456 151677807402 202237076536 220780304184 291864871819 303355614804 404474153072 441560608368 583729743638 606711229608 875594615457 1167459487276 1213422459216 1751189230914 2334918974552 3210513590009 3502378461828 4669837949104 6421027180018 7004756923656 9631540770027 12842054360036 14009513847312 19263081540054 25684108720072 38526163080108 51368217440144 77052326160216 154104652320432