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46534369536 = 283319354337
BaseRepresentation
bin101011010101101010…
…100010000100000000
311110010001121220101000
4223111222202010000
51230300244311121
633213321012000
73235110420564
oct532552420400
9143101556330
1046534369536
111880a490646
129028324000
134507a78205
14237635b6a4
1513254c6526
hexad5aa2100

46534369536 has 144 divisors (see below), whose sum is σ = 144853374400. Its totient is φ = 14695022592.

The previous prime is 46534369513. The next prime is 46534369559. The reversal of 46534369536 is 63596343564.

46534369536 is a `hidden beast` number, since 4 + 6 + 5 + 3 + 43 + 69 + 536 = 666.

It is an interprime number because it is at equal distance from previous prime (46534369513) and next prime (46534369559).

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×465343695362 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45841 + ... + 308496.

Almost surely, 246534369536 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 46534369536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72426687200).

46534369536 is an abundant number, since it is smaller than the sum of its proper divisors (98319004864).

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

46534369536 is a wasteful number, since it uses less digits than its factorization.

46534369536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354381 (or 354361 counting only the distinct ones).

The product of its digits is 20995200, while the sum is 54.

The spelling of 46534369536 in words is "forty-six billion, five hundred thirty-four million, three hundred sixty-nine thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 96 108 114 128 144 152 171 192 216 228 256 288 304 342 384 432 456 513 576 608 684 768 864 912 1026 1152 1216 1368 1728 1824 2052 2304 2432 2736 3456 3648 4104 4864 5472 6912 7296 8208 10944 14592 16416 21888 32832 43776 65664 131328 354337 708674 1063011 1417348 2126022 2834696 3189033 4252044 5669392 6378066 6732403 8504088 9567099 11338784 12756132 13464806 17008176 19134198 20197209 22677568 25512264 26929612 34016352 38268396 40394418 45355136 51024528 53859224 60591627 68032704 76536792 80788836 90710272 102049056 107718448 121183254 136065408 153073584 161577672 181774881 204098112 215436896 242366508 272130816 306147168 323155344 363549762 408196224 430873792 484733016 612294336 646310688 727099524 816392448 861747584 969466032 1224588672 1292621376 1454199048 1723495168 1938932064 2449177344 2585242752 2908398096 3877864128 5170485504 5816796192 7755728256 11633592384 15511456512 23267184768 46534369536