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11552438732928 = 273171769675051
BaseRepresentation
bin1010100000011100001100…
…0000011100100010000000
31111220101212022121000211120
42220013003000130202000
53003233343303423203
640323041142512240
72301431126012202
oct250070300344200
944811768530746
1011552438732928
1137543a8547615
121366b34435680
1365a50c63c382
142bd1d8d4c772
1515078ad09b53
hexa81c301c880

11552438732928 has 64 divisors (see below), whose sum is σ = 32491233954720. Its totient is φ = 3624294502400.

The previous prime is 11552438732917. The next prime is 11552438732929. The reversal of 11552438732928 is 82923783425511.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×115524387329282 (a number of 27 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (11552438732929) 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 7 ways as a sum of consecutive naturals, for example, 884830998 + ... + 884844053.

Almost surely, 211552438732928 is an apocalyptic number.

It is an amenable number.

11552438732928 is an abundant number, since it is smaller than the sum of its proper divisors (20938795221792).

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

11552438732928 is a wasteful number, since it uses less digits than its factorization.

11552438732928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1769675085 (or 1769675073 counting only the distinct ones).

The product of its digits is 29030400, while the sum is 60.

The spelling of 11552438732928 in words is "eleven trillion, five hundred fifty-two billion, four hundred thirty-eight million, seven hundred thirty-two thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 272 384 408 544 816 1088 1632 2176 3264 6528 1769675051 3539350102 5309025153 7078700204 10618050306 14157400408 21236100612 28314800816 30084475867 42472201224 56629601632 60168951734 84944402448 90253427601 113259203264 120337903468 169888804896 180506855202 226518406528 240675806936 339777609792 361013710404 481351613872 679555219584 722027420808 962703227744 1444054841616 1925406455488 2888109683232 3850812910976 5776219366464 11552438732928