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46630760574057 = 31117218911258551
BaseRepresentation
bin10101001101001000100011…
…11010110110110001101001
320010002212010212202200112120
422212210101322312301221
522102444244201332212
6243101513051301453
712551650501010652
oct1246442172666151
9203085125680476
1046630760574057
1113948aa3756650
12529142b44a889
1320033533a756a
14b72d259bc529
1555ce8e2d688c
hex2a6911eb6c69

46630760574057 has 48 divisors (see below), whose sum is σ = 72055141208064. Its totient is φ = 26597141920000.

The previous prime is 46630760574031. The next prime is 46630760574137. The reversal of 46630760574057 is 75047506703664.

46630760574057 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 46630760574057 - 28 = 46630760573801 is a prime.

It is not an unprimeable number, because it can be changed into a prime (46630760574257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 180224932 + ... + 180483482.

It is an arithmetic number, because the mean of its divisors is an integer number (1501148775168).

Almost surely, 246630760574057 is an apocalyptic number.

It is an amenable number.

46630760574057 is a deficient number, since it is larger than the sum of its proper divisors (25424380634007).

46630760574057 is a wasteful number, since it uses less digits than its factorization.

46630760574057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277510 (or 277493 counting only the distinct ones).

The product of its (nonzero) digits is 88905600, while the sum is 60.

The spelling of 46630760574057 in words is "forty-six trillion, six hundred thirty billion, seven hundred sixty million, five hundred seventy-four thousand, fifty-seven".

Divisors: 1 3 11 17 33 51 187 289 561 867 3179 9537 18911 56733 208021 258551 321487 624063 775653 964461 2844061 3536357 4395367 5465279 8532183 10609071 13186101 16395837 48349037 60118069 74721239 145047111 180354207 224163717 821933629 2465800887 4889457961 14668373883 53784037571 83120785337 161352112713 249362356011 914328638707 1413053350729 2742985916121 4239160052187 15543586858019 46630760574057