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78356647021041 = 3219297216012
BaseRepresentation
bin10001110100001111010100…
…000111001000100111110001
3101021102211012110022000201100
4101310033110013020213301
540232243403114133131
6434352314030555013
722335036521224524
oct2164172407104761
9337384173260640
1078356647021041
1122a6a95a542a24
128956062668a69
13349500031530c
14154c6a668cbbb
1590d3823027e6
hex4743d41c89f1

78356647021041 has 81 divisors (see below), whose sum is σ = 120771882245313. Its totient is φ = 48947626598400.

The previous prime is 78356647020991. The next prime is 78356647021043. The reversal of 78356647021041 is 14012074665387.

The square root of 78356647021041 is 8851929.

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

78356647021041 is a `hidden beast` number, since 7 + 8 + 3 + 5 + 66 + 470 + 2 + 104 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 31314936200625 + 47041710820416 = 5595975^2 + 6858696^2 .

It is not a de Polignac number, because 78356647021041 - 27 = 78356647020913 is a prime.

It is a super-2 number, since 2×783566470210412 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (78356647021043) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 48942314641 + ... + 48942316241.

Almost surely, 278356647021041 is an apocalyptic number.

78356647021041 is the 8851929-th square number.

78356647021041 is the 4425965-th centered octagonal number.

It is an amenable number.

78356647021041 is a deficient number, since it is larger than the sum of its proper divisors (42415235224272).

78356647021041 is an frugal number, since it uses more digits than its factorization.

78356647021041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3440 (or 1720 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 78356647021041 in words is "seventy-eight trillion, three hundred fifty-six billion, six hundred forty-seven million, twenty-one thousand, forty-one".

Divisors: 1 3 9 19 57 97 171 291 361 873 1083 1601 1843 3249 4803 5529 9409 14409 16587 28227 30419 35017 84681 91257 105051 155297 178771 273771 315153 465891 536313 577961 1397673 1608939 1733883 2563201 2950643 3396649 5201649 7689603 8851929 10189947 15063809 23068809 26555787 30569841 45191427 48700819 56062217 135574281 146102457 168186651 248630497 286212371 438307371 504559953 745891491 858637113 925315561 2237674473 2575911339 2775946683 4723979443 5438035049 8327840049 14171938329 16314105147 24117158209 42515814987 48942315441 72351474627 89755609417 217054423881 269266828251 458226005971 807800484753 1374678017913 4124034053739 8706294113449 26118882340347 78356647021041