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46706651352 = 23331981114033
BaseRepresentation
bin101011011111111011…
…101111000011011000
311110120001210201121000
4223133323233003120
51231123400320402
633242353345000
73242301662124
oct533773570330
9143501721530
1046706651352
1118898761509
129075b68160
13453467900a
1423911a6584
1513356a7c1c
hexadfeef0d8

46706651352 has 128 divisors (see below), whose sum is σ = 136747296000. Its totient is φ = 14730232320.

The previous prime is 46706651347. The next prime is 46706651353. The reversal of 46706651352 is 25315660764.

46706651352 is a `hidden beast` number, since 4 + 6 + 70 + 66 + 513 + 5 + 2 = 666.

It is a super-2 number, since 2×467066513522 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 46706651298 and 46706651307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46706651353) 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 31 ways as a sum of consecutive naturals, for example, 3321328 + ... + 3335360.

It is an arithmetic number, because the mean of its divisors is an integer number (1068338250).

Almost surely, 246706651352 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 46706651352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68373648000).

46706651352 is an abundant number, since it is smaller than the sum of its proper divisors (90040644648).

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

46706651352 is a wasteful number, since it uses less digits than its factorization.

46706651352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14878 (or 14868 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 46706651352 in words is "forty-six billion, seven hundred six million, six hundred fifty-one thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 108 114 152 171 216 228 342 456 513 684 811 1026 1368 1622 2052 2433 3244 4104 4866 6488 7299 9732 14033 14598 15409 19464 21897 28066 29196 30818 42099 43794 46227 56132 58392 61636 84198 87588 92454 112264 123272 126297 138681 168396 175176 184908 252594 266627 277362 336792 369816 378891 416043 505188 533254 554724 757782 799881 832086 1010376 1066508 1109448 1515564 1599762 1664172 2133016 2399643 3031128 3199524 3328344 4799286 6399048 7198929 9598572 11380763 14397858 19197144 22761526 28795716 34142289 45523052 57591432 68284578 91046104 102426867 136569156 204853734 216234497 273138312 307280601 409707468 432468994 614561202 648703491 819414936 864937988 1229122404 1297406982 1729875976 1946110473 2458244808 2594813964 3892220946 5189627928 5838331419 7784441892 11676662838 15568883784 23353325676 46706651352