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58120231680 = 283257292857
BaseRepresentation
bin110110001000001111…
…000101101100000000
312120000111110200101100
4312020033011230000
51423012234403210
642411114134400
74125162550410
oct661017055400
9176014420340
1058120231680
11227153a0325
12b320421400
13563318b344
142b54d74640
1517a26de5c0
hexd883c5b00

58120231680 has 648 divisors, whose sum is σ = 238292806752. Its totient is φ = 12811567104.

The previous prime is 58120231591. The next prime is 58120231717. The reversal of 58120231680 is 8613202185.

It is a happy number.

It is a super-2 number, since 2×581202316802 (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 67817812 + ... + 67818668.

Almost surely, 258120231680 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 58120231680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119146403376).

58120231680 is an abundant number, since it is smaller than the sum of its proper divisors (180172575072).

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

58120231680 is a wasteful number, since it uses less digits than its factorization.

58120231680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 949 (or 903 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 58120231680 in words is "fifty-eight billion, one hundred twenty million, two hundred thirty-one thousand, six hundred eighty".