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130662005010472 = 231389233421143909
BaseRepresentation
bin11101101101011000011110…
…011001001111000000101000
3122010122011110210020020022101
4131231120132121033000220
5114111231241240313342
61141521144010503144
736344006201354665
oct3555303631170050
9563564423206271
10130662005010472
11386a6499527931
12127a3209134ab4
1357ba4b317c6b0
14243a1092d6a6c
151018c42bbb3b7
hex76d61e64f028

130662005010472 has 128 divisors (see below), whose sum is σ = 268584586452000. Its totient is φ = 59230598676480.

The previous prime is 130662005010469. The next prime is 130662005010491. The reversal of 130662005010472 is 274010500266031.

It can be written as a sum of positive squares in 16 ways, for example, as 39409341514596 + 91252663495876 = 6277686^2 + 9552626^2 .

It is a super-2 number, since 2×1306620050104722 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 907876854 + ... + 908020762.

Almost surely, 2130662005010472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130662005010472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134292293226000).

130662005010472 is an abundant number, since it is smaller than the sum of its proper divisors (137922581441528).

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

130662005010472 is a wasteful number, since it uses less digits than its factorization.

130662005010472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144671 (or 144667 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 37.

The spelling of 130662005010472 in words is "one hundred thirty trillion, six hundred sixty-two billion, five million, ten thousand, four hundred seventy-two".

Divisors: 1 2 4 8 13 26 52 89 104 178 233 356 421 466 712 842 932 1157 1684 1864 2314 3029 3368 4628 5473 6058 9256 10946 12116 20737 21892 24232 37469 41474 43784 74938 82948 98093 143909 149876 165896 196186 269581 287818 299752 392372 487097 539162 575636 784744 974194 1078324 1151272 1275209 1870817 1948388 2156648 2550418 3741634 3896776 5100836 7483268 8730277 10201672 12807901 14966536 17460554 25615802 33530797 34921108 51231604 60585689 67061594 69842216 102463208 113493601 121171378 134123188 166502713 226987202 242342756 268246376 333005426 435900361 453974404 484685512 666010852 787613957 871800722 907948808 1332021704 1575227914 1743601444 2984240933 3150455828 3487202888 5392126321 5968481866 6300911656 10784252642 11936963732 14116465537 21568505284 23873927464 28232931074 38795132129 43137010568 56465862148 70097642173 77590264258 112931724296 140195284346 155180528516 183514051981 280390568692 310361057032 367028103962 560781137384 734056207924 1256365432793 1468112415848 2512730865586 5025461731172 10050923462344 16332750626309 32665501252618 65331002505236 130662005010472