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46552660038 = 2341938892
BaseRepresentation
bin101011010110110000…
…010011100001000110
311110011100001011020000
4223112300103201012
51230314440110123
633215213022130
73235422036633
oct532660234106
9143140034200
1046552660038
1118819843565
129032484946
13450b7b04b1
14237895d18a
151326ddab43
hexad6c13846

46552660038 has 60 divisors (see below), whose sum is σ = 109830811860. Its totient is φ = 14697059904.

The previous prime is 46552659961. The next prime is 46552660051. The reversal of 46552660038 is 83006625564.

46552660038 is a `hidden beast` number, since 4 + 6 + 5 + 5 + 2 + 6 + 600 + 38 = 666.

It is a super-2 number, since 2×465526600382 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 46552659975 and 46552660002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 11968398 + ... + 11972286.

It is an arithmetic number, because the mean of its divisors is an integer number (1830513531).

Almost surely, 246552660038 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46552660038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54915405930).

46552660038 is an abundant number, since it is smaller than the sum of its proper divisors (63278151822).

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

46552660038 is an frugal number, since it uses more digits than its factorization.

46552660038 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7811 (or 3913 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 46552660038 in words is "forty-six billion, five hundred fifty-two million, six hundred sixty thousand, thirty-eight".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 81 114 162 171 342 513 1026 1539 3078 3889 7778 11667 23334 35001 70002 73891 105003 147782 210006 221673 315009 443346 630018 665019 1330038 1995057 3990114 5985171 11970342 15124321 30248642 45372963 90745926 136118889 272237778 287362099 408356667 574724198 816713334 862086297 1225070001 1724172594 2450140002 2586258891 5172517782 7758776673 15517553346 23276330019 46552660038