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59149965420 = 223357132941507
BaseRepresentation
bin110111000101100111…
…001101100001101100
312122200021002120112000
4313011213031201230
51432114342343140
643101221012300
74162535260530
oct670547154154
9178607076460
1059149965420
11230a3682547
12b569254090
135768609250
142c11a21bc0
151812ce5a30
hexdc59cd86c

59149965420 has 384 divisors, whose sum is σ = 234304358400. Its totient is φ = 12049357824.

The previous prime is 59149965389. The next prime is 59149965443. The reversal of 59149965420 is 2456994195.

59149965420 is a `hidden beast` number, since 5 + 9 + 1 + 4 + 9 + 96 + 542 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 127 ways as a sum of consecutive naturals, for example, 1404307 + ... + 1445813.

It is an arithmetic number, because the mean of its divisors is an integer number (610167600).

Almost surely, 259149965420 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 59149965420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117152179200).

59149965420 is an abundant number, since it is smaller than the sum of its proper divisors (175154392980).

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

59149965420 is a wasteful number, since it uses less digits than its factorization.

59149965420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41574 (or 41566 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 54.

The spelling of 59149965420 in words is "fifty-nine billion, one hundred forty-nine million, nine hundred sixty-five thousand, four hundred twenty".