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150894800403424 = 25711222732449297
BaseRepresentation
bin100010010011110011101110…
…111110011111101111100000
3201210021101212002022000001221
4202103303232332133233200
5124234230022400402144
61252532040410104424
743532534551532260
oct4223635676375740
9653241762260057
10150894800403424
1144097142010200
1214b1050b41b114
13662741b02094c
1429394c10257a0
15126a1c0229d84
hex893ceef9fbe0

150894800403424 has 144 divisors (see below), whose sum is σ = 373348375200864. Its totient is φ = 58764293406720.

The previous prime is 150894800403341. The next prime is 150894800403427. The reversal of 150894800403424 is 424304008498051.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150894800403427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60382744 + ... + 62832040.

It is an arithmetic number, because the mean of its divisors is an integer number (2592697050006).

Almost surely, 2150894800403424 is an apocalyptic number.

150894800403424 is a gapful number since it is divisible by the number (14) 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 150894800403424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186674187600432).

150894800403424 is an abundant number, since it is smaller than the sum of its proper divisors (222453574797440).

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

150894800403424 is a wasteful number, since it uses less digits than its factorization.

150894800403424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2451609 (or 2451590 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 52.

The spelling of 150894800403424 in words is "one hundred fifty trillion, eight hundred ninety-four billion, eight hundred million, four hundred three thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 121 154 176 224 242 308 352 484 616 847 968 1232 1694 1936 2273 2464 3388 3872 4546 6776 9092 13552 15911 18184 25003 27104 31822 36368 50006 63644 72736 100012 127288 175021 200024 254576 275033 350042 400048 509152 550066 700084 800096 1100132 1400168 1925231 2200264 2449297 2800336 3850462 4400528 4898594 5600672 7700924 8801056 9797188 15401848 17145079 19594376 26942267 30803696 34290158 39188752 53884534 61607392 68580316 78377504 107769068 137160632 188595869 215538136 274321264 296364937 377191738 431076272 548642528 592729874 754383476 862152544 1185459748 1508766952 2074554559 2370919496 3017533904 4149109118 4741838992 5567252081 6035067808 8298218236 9483677984 11134504162 16596436472 22269008324 33192872944 38970764567 44538016648 61239772891 66385745888 77941529134 89076033296 122479545782 155883058268 178152066592 244959091564 311766116536 428678410237 489918183128 623532233072 673637501801 857356820474 979836366256 1247064466144 1347275003602 1714713640948 1959672732512 2694550007204 3429427281896 4715462512607 5389100014408 6858854563792 9430925025214 10778200028816 13717709127584 18861850050428 21556400057632 37723700100856 75447400201712 150894800403424