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58190596932 = 2231329374161139
BaseRepresentation
bin110110001100011011…
…100000101101000100
312120012101212121100210
4312030123200231010
51423133243100212
642422110235420
74130005625046
oct661433405504
9176171777323
1058190596932
1122751090826
12b33bab5b70
1356449271a0
142b6044da96
1517a898d53c
hexd8c6e0b44

58190596932 has 384 divisors, whose sum is σ = 162914572800. Its totient is φ = 16024780800.

The previous prime is 58190596921. The next prime is 58190596951. The reversal of 58190596932 is 23969509185.

It is a super-2 number, since 2×581905969322 (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

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, 418637319 + ... + 418637457.

It is an arithmetic number, because the mean of its divisors is an integer number (424256700).

Almost surely, 258190596932 is an apocalyptic number.

58190596932 is a gapful number since it is divisible by the number (52) 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 58190596932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81457286400).

58190596932 is an abundant number, since it is smaller than the sum of its proper divisors (104723975868).

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

58190596932 is a wasteful number, since it uses less digits than its factorization.

58190596932 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 5248800, while the sum is 57.

It can be divided in two parts, 5819059 and 6932, that added together give a triangular number (5825991 = T3413).

The spelling of 58190596932 in words is "fifty-eight billion, one hundred ninety million, five hundred ninety-six thousand, nine hundred thirty-two".