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1051689610512 = 2436175303849
BaseRepresentation
bin11110100110111011001…
…01011110110100010000
310201112121001112201000000
433103131211132310100
5114212330020014022
62123050050130000
7135660564122652
oct17233545366420
93645531481000
101051689610512
11376023405372
1214b9a8880900
13782350b7ba8
1438c8b3166d2
151c55460b6ac
hexf4dd95ed10

1051689610512 has 140 divisors (see below), whose sum is σ = 3234786291900. Its totient is φ = 329941776384.

The previous prime is 1051689610483. The next prime is 1051689610537. The reversal of 1051689610512 is 2150169861501.

1051689610512 is a `hidden beast` number, since 1 + 0 + 5 + 16 + 8 + 9 + 610 + 5 + 12 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 862067682576 + 189621927936 = 928476^2 + 435456^2 .

It is a super-2 number, since 2×10516896105122 (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 2453637 + ... + 2850212.

Almost surely, 21051689610512 is an apocalyptic number.

1051689610512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1051689610512 is an abundant number, since it is smaller than the sum of its proper divisors (2183096681388).

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

1051689610512 is an equidigital number, since it uses as much as digits as its factorization.

1051689610512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5303892 (or 5303871 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 45.

The spelling of 1051689610512 in words is "one trillion, fifty-one billion, six hundred eighty-nine million, six hundred ten thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 81 102 108 136 144 153 162 204 216 243 272 306 324 408 432 459 486 612 648 729 816 918 972 1224 1296 1377 1458 1836 1944 2448 2754 2916 3672 3888 4131 5508 5832 7344 8262 11016 11664 12393 16524 22032 24786 33048 49572 66096 99144 198288 5303849 10607698 15911547 21215396 31823094 42430792 47734641 63646188 84861584 90165433 95469282 127292376 143203923 180330866 190938564 254584752 270496299 286407846 360661732 381877128 429611769 540992598 572815692 721323464 763754256 811488897 859223538 1081985196 1145631384 1288835307 1442646928 1622977794 1718447076 2163970392 2291262768 2434466691 2577670614 3245955588 3436894152 3866505921 4327940784 4868933382 5155341228 6491911176 6873788304 7303400073 7733011842 9737866764 10310682456 12983822352 14606800146 15466023684 19475733528 20621364912 21910200219 29213600292 30932047368 38951467056 43820400438 58427200584 61864094736 65730600657 87640800876 116854401168 131461201314 175281601752 262922402628 350563203504 525844805256 1051689610512