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132557303897928 = 23327131710729110923
BaseRepresentation
bin11110001000111101100111…
…000000101101111101001000
3122101100100120102110110222100
4132020331213000231331020
5114333304324244213203
61145531552411353400
736630643364164050
oct3610754700557510
9571310512413870
10132557303897928
113926726731a138
1212a4a5b0a52860
1358c713bc74020
1424a3b44628560
15104d1bdd96ea3
hex788f6702df48

132557303897928 has 384 divisors, whose sum is σ = 467897132102400. Its totient is φ = 32900324179968.

The previous prime is 132557303897827. The next prime is 132557303897951. The reversal of 132557303897928 is 829798303755231.

132557303897928 is a `hidden beast` number, since 1 + 3 + 2 + 557 + 30 + 38 + 9 + 7 + 9 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1194983475 + ... + 1195094397.

It is an arithmetic number, because the mean of its divisors is an integer number (1218482114850).

Almost surely, 2132557303897928 is an apocalyptic number.

132557303897928 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132557303897928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233948566051200).

132557303897928 is an abundant number, since it is smaller than the sum of its proper divisors (335339828204472).

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

132557303897928 is a wasteful number, since it uses less digits than its factorization.

132557303897928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121701 (or 121694 counting only the distinct ones).

The product of its (nonzero) digits is 685843200, while the sum is 72.

The spelling of 132557303897928 in words is "one hundred thirty-two trillion, five hundred fifty-seven billion, three hundred three million, eight hundred ninety-seven thousand, nine hundred twenty-eight".