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46130360115060 = 223251321669908597
BaseRepresentation
bin10100111110100100011111…
…01110100101111101110100
320001100000112010000112211100
422133102033232211331310
522021244434142140220
6242035554521010100
712500544220205334
oct1237221756457564
9201300463015740
1046130360115060
111377585973a401
125210458323930
131c980c72b7300
14b56a155150c4
1554ee5344dd90
hex29f48fba5f74

46130360115060 has 216 divisors, whose sum is σ = 151611442589880. Its totient is φ = 11348349502464.

The previous prime is 46130360115053. The next prime is 46130360115109. The reversal of 46130360115060 is 6051106303164.

46130360115060 is a `hidden beast` number, since 4 + 6 + 1 + 30 + 3 + 601 + 15 + 0 + 6 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 36302962737636 + 9827397377424 = 6025194^2 + 3134868^2 .

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

It is a congruent number.

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, 50316682 + ... + 51225278.

It is an arithmetic number, because the mean of its divisors is an integer number (701904826805).

Almost surely, 246130360115060 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 46130360115060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75805721294940).

46130360115060 is an abundant number, since it is smaller than the sum of its proper divisors (105481082474820).

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

46130360115060 is a wasteful number, since it uses less digits than its factorization.

46130360115060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 910307 (or 910289 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 46130360115060 in words is "forty-six trillion, one hundred thirty billion, three hundred sixty million, one hundred fifteen thousand, sixty".