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47086744768074 = 23211787823367163
BaseRepresentation
bin10101011010011001111001…
…01100100000111001001010
320011201110010012110210002200
422231030330230200321022
522132432123130034244
6244051204003141030
712626622300502344
oct1255147454407112
9204643105423080
1047086744768074
1114004415966590
125345887674776
1320373514a8c0b
14b8b021168294
15569c7aad9669
hex2ad33cb20e4a

47086744768074 has 96 divisors (see below), whose sum is σ = 111573067866624. Its totient is φ = 14233225854240.

The previous prime is 47086744768033. The next prime is 47086744768127.

47086744768074 is a `hidden beast` number, since 4 + 7 + 0 + 8 + 6 + 7 + 4 + 476 + 80 + 74 = 666.

47086744768074 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 47086744767993 and 47086744768011.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 128061217 + ... + 128428379.

It is an arithmetic number, because the mean of its divisors is an integer number (1162219456944).

Almost surely, 247086744768074 is an apocalyptic number.

47086744768074 is an abundant number, since it is smaller than the sum of its proper divisors (64486323098550).

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

47086744768074 is a wasteful number, since it uses less digits than its factorization.

47086744768074 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368792 (or 368789 counting only the distinct ones).

The product of its (nonzero) digits is 1416167424, while the sum is 72.

The spelling of 47086744768074 in words is "forty-seven trillion, eighty-six billion, seven hundred forty-four million, seven hundred sixty-eight thousand, seventy-four".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 787 823 1574 1646 2361 2469 4722 4938 7083 7407 8657 9053 14166 14814 17314 18106 25971 27159 51942 54318 77913 81477 155826 162954 367163 647701 734326 1101489 1295402 1943103 2202978 3304467 3886206 4038793 5829309 6608934 7124711 8077586 11658618 12116379 14249422 21374133 24232758 36349137 42748266 64122399 72698274 128244798 288957281 302175149 577914562 604350298 866871843 906525447 1733743686 1813050894 2600615529 2719576341 3178530091 3323926639 5201231058 5439152682 6357060182 6647853278 9535590273 9971779917 19071180546 19943559834 28606770819 29915339751 57213541638 59830679502 237811842263 475623684526 713435526789 1426871053578 2140306580367 2615930264893 4280613160734 5231860529786 7847790794679 15695581589358 23543372384037 47086744768074