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46068711915408 = 2437313415399053
BaseRepresentation
bin10100111100110001101010…
…01101010111111110010000
320001010010101202001112012120
422132120311031113332100
522014242210222243113
6241551401334054240
712463232425152000
oct1236306515277620
9201103352045176
1046068711915408
11137516a395a576
1252005124aa380
131c92351249570
14b53a47bc2000
1554d54617aa23
hex29e635357f90

46068711915408 has 640 divisors, whose sum is σ = 156000065356800. Its totient is φ = 11629877575680.

The previous prime is 46068711915403. The next prime is 46068711915419. The reversal of 46068711915408 is 80451911786064.

It is a super-2 number, since 2×460687119154082 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (46068711915403) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 465042010 + ... + 465141062.

It is an arithmetic number, because the mean of its divisors is an integer number (243750102120).

Almost surely, 246068711915408 is an apocalyptic number.

46068711915408 is a gapful number since it is divisible by the number (48) 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 46068711915408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78000032678400).

46068711915408 is an abundant number, since it is smaller than the sum of its proper divisors (109931353441392).

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

46068711915408 is a wasteful number, since it uses less digits than its factorization.

46068711915408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99192 (or 99172 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 60.

The spelling of 46068711915408 in words is "forty-six trillion, sixty-eight billion, seven hundred eleven million, nine hundred fifteen thousand, four hundred eight".