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272671264687668 = 223711295098771307
BaseRepresentation
bin111101111111111000111001…
…110111110100011000110100
31022202110010012021000222000220
4331333320321313310120310
5241214421222230001133
62403531241045534340
7111301564062221430
oct7577707167643064
91282403167028026
10272671264687668
1179977263433440
12266b9626a143b0
13b91ba36624a92
144b49506b639c0
15217cc130585b3
hexf7fe39df4634

272671264687668 has 48 divisors (see below), whose sum is σ = 793225497275904. Its totient is φ = 70823705113440.

The previous prime is 272671264687643. The next prime is 272671264687699. The reversal of 272671264687668 is 866786462176272.

It is a junction number, because it is equal to n+sod(n) for n = 272671264687593 and 272671264687602.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 147549384730 + ... + 147549386577.

It is an arithmetic number, because the mean of its divisors is an integer number (16525531193248).

Almost surely, 2272671264687668 is an apocalyptic number.

272671264687668 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

272671264687668 is an abundant number, since it is smaller than the sum of its proper divisors (520554232588236).

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

272671264687668 is a wasteful number, since it uses less digits than its factorization.

272671264687668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295098771332 (or 295098771330 counting only the distinct ones).

The product of its digits is 5462360064, while the sum is 78.

The spelling of 272671264687668 in words is "two hundred seventy-two trillion, six hundred seventy-one billion, two hundred sixty-four million, six hundred eighty-seven thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 462 924 295098771307 590197542614 885296313921 1180395085228 1770592627842 2065691399149 3246086484377 3541185255684 4131382798298 6197074197447 6492172968754 8262765596596 9738259453131 12394148394894 12984345937508 19476518906262 22722605390639 24788296789788 38953037812524 45445210781278 68167816171917 90890421562556 136335632343834 272671264687668