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59530270140 = 223351137439617
BaseRepresentation
bin110111011100010001…
…111101010110111100
312200122202201001112000
4313130101331112330
51433404222121030
643203044142300
74205133642615
oct673421752674
9180582631460
1059530270140
1123279316070
12b654697990
1357c9343023
142c4a33ac0c
1518363b8860
hexddc47d5bc

59530270140 has 384 divisors, whose sum is σ = 208312473600. Its totient is φ = 13986846720.

The previous prime is 59530270073. The next prime is 59530270153. The reversal of 59530270140 is 4107203595.

59530270140 is a `hidden beast` number, since 59 + 530 + 2 + 70 + 1 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 59530270095 and 59530270104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 96483112 + ... + 96483728.

It is an arithmetic number, because the mean of its divisors is an integer number (542480400).

Almost surely, 259530270140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 59530270140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104156236800).

59530270140 is an abundant number, since it is smaller than the sum of its proper divisors (148782203460).

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

59530270140 is a wasteful number, since it uses less digits than its factorization.

59530270140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1122 (or 1114 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The spelling of 59530270140 in words is "fifty-nine billion, five hundred thirty million, two hundred seventy thousand, one hundred forty".