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46042428010880 = 2757371013274201
BaseRepresentation
bin10100111100000000101101…
…00100001111000110000000
320001000121112222020211111002
422132000112210033012000
522013324343032322010
6241531333250511132
712461312200514510
oct1236002644170600
9201017488224432
1046042428010880
111374153631a024
1251b73b7b954a8
131c8ca22a22232
14b52673107840
1554ca088e71a5
hex29e01690f180

46042428010880 has 256 divisors, whose sum is σ = 129322349919360. Its totient is φ = 15344109158400.

The previous prime is 46042428010867. The next prime is 46042428010903. The reversal of 46042428010880 is 8801082424064.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 167777780 + ... + 168051980.

Almost surely, 246042428010880 is an apocalyptic number.

46042428010880 is a gapful number since it is divisible by the number (40) 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 46042428010880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64661174959680).

46042428010880 is an abundant number, since it is smaller than the sum of its proper divisors (83279921908480).

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

46042428010880 is a wasteful number, since it uses less digits than its factorization.

46042428010880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275277 (or 275265 counting only the distinct ones).

The product of its (nonzero) digits is 786432, while the sum is 47.

The spelling of 46042428010880 in words is "forty-six trillion, forty-two billion, four hundred twenty-eight million, ten thousand, eight hundred eighty".