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182940976656 = 24341094
BaseRepresentation
bin1010101001100000100…
…0011100011000010000
3122111012110201111210000
42222120020130120100
510444130342223111
6220013020010000
716134306434034
oct2523010343020
9574173644700
10182940976656
11706484594a9
122b556690900
1314336031519
148bd663a1c4
154b5a9ddc56
hex2a9821c610

182940976656 has 125 divisors (see below), whose sum is σ = 534386893931. Its totient is φ = 60420873024.

The previous prime is 182940976651. The next prime is 182940976679. The reversal of 182940976656 is 656679049281.

The square root of 182940976656 is 427716.

It is a perfect power (a square, a biquadrate), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 28397642256 + 154543334400 = 168516^2 + 393120^2 .

It is a super-2 number, since 2×1829409766562 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 182940976593 and 182940976602.

It is not an unprimeable number, because it can be changed into a prime (182940976651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 24 ways as a sum of consecutive naturals, for example, 1678357530 + ... + 1678357638.

Almost surely, 2182940976656 is an apocalyptic number.

182940976656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

182940976656 is the 427716-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 182940976656

182940976656 is an abundant number, since it is smaller than the sum of its proper divisors (351445917275).

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

182940976656 is an frugal number, since it uses more digits than its factorization.

182940976656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 182940976656 in words is "one hundred eighty-two billion, nine hundred forty million, nine hundred seventy-six thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 109 144 162 216 218 324 327 432 436 648 654 872 981 1296 1308 1744 1962 2616 2943 3924 5232 5886 7848 8829 11772 11881 15696 17658 23544 23762 35316 35643 47088 47524 70632 71286 95048 106929 141264 142572 190096 213858 285144 320787 427716 570288 641574 855432 962361 1283148 1295029 1710864 1924722 2566296 2590058 3849444 3885087 5132592 5180116 7698888 7770174 10360232 11655261 15397776 15540348 20720464 23310522 31080696 34965783 46621044 62161392 69931566 93242088 104897349 139863132 141158161 186484176 209794698 279726264 282316322 419589396 423474483 559452528 564632644 839178792 846948966 1129265288 1270423449 1678357584 1693897932 2258530576 2540846898 3387795864 3811270347 5081693796 6775591728 7622540694 10163387592 11433811041 15245081388 20326775184 22867622082 30490162776 45735244164 60980325552 91470488328 182940976656