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11957723278368 = 253795331866593
BaseRepresentation
bin1010111000000001111111…
…0110010010110000100000
31120100010222021222010100120
42232000133312102300200
53031403404124401433
641233145141120240
72342626346552220
oct256003766226040
946303867863316
1011957723278368
1138a027306513a
1214115a13b9080
136897baa5587a
142d4a84cc2080
1515b0ab6147b3
hexae01fd92c20

11957723278368 has 96 divisors (see below), whose sum is σ = 35876952107136. Its totient is φ = 3416132149248.

The previous prime is 11957723278331. The next prime is 11957723278381. The reversal of 11957723278368 is 86387232775911.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5472880 + ... + 7339472.

It is an arithmetic number, because the mean of its divisors is an integer number (373718251116).

Almost surely, 211957723278368 is an apocalyptic number.

It is an amenable number.

11957723278368 is an abundant number, since it is smaller than the sum of its proper divisors (23919228828768).

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

11957723278368 is a wasteful number, since it uses less digits than its factorization.

11957723278368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1876146 (or 1876138 counting only the distinct ones).

The product of its digits is 213373440, while the sum is 69.

The spelling of 11957723278368 in words is "eleven trillion, nine hundred fifty-seven billion, seven hundred twenty-three million, two hundred seventy-eight thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 9533 19066 28599 38132 57198 66731 76264 114396 133462 152528 200193 228792 266924 305056 400386 457584 533848 800772 915168 1067696 1601544 1866593 2135392 3203088 3733186 5599779 6406176 7466372 11199558 13066151 14932744 22399116 26132302 29865488 39198453 44798232 52264604 59730976 78396906 89596464 104529208 156793812 179192928 209058416 313587624 418116832 627175248 1254350496 17794231069 35588462138 53382693207 71176924276 106765386414 124559617483 142353848552 213530772828 249119234966 284707697104 373678852449 427061545656 498238469932 569415394208 747357704898 854123091312 996476939864 1494715409796 1708246182624 1992953879728 2989430819592 3985907759456 5978861639184 11957723278368