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46531629568 = 291272233209
BaseRepresentation
bin101011010101100000…
…000101001000000000
311110002212110200211201
4223111200011020000
51230244044121233
633213142150544
73235045216414
oct532540051000
9143085420751
1046531629568
111880898a006
129027422454
134507329028
142375c46d44
15132513477d
hexad5805200

46531629568 has 80 divisors (see below), whose sum is σ = 94153973760. Its totient is φ = 22971949056.

The previous prime is 46531629563. The next prime is 46531629589. The reversal of 46531629568 is 86592613564.

It is not an unprimeable number, because it can be changed into a prime (46531629563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14498748 + ... + 14501956.

It is an arithmetic number, because the mean of its divisors is an integer number (1176924672).

Almost surely, 246531629568 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 46531629568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47076986880).

46531629568 is an abundant number, since it is smaller than the sum of its proper divisors (47622344192).

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

46531629568 is a wasteful number, since it uses less digits than its factorization.

46531629568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3577 (or 3561 counting only the distinct ones).

The product of its digits is 9331200, while the sum is 55.

The spelling of 46531629568 in words is "forty-six billion, five hundred thirty-one million, six hundred twenty-nine thousand, five hundred sixty-eight".

Divisors: 1 2 4 8 16 32 64 127 128 223 254 256 446 508 512 892 1016 1784 2032 3209 3568 4064 6418 7136 8128 12836 14272 16256 25672 28321 28544 32512 51344 56642 57088 65024 102688 113284 114176 205376 226568 407543 410752 453136 715607 815086 821504 906272 1431214 1630172 1643008 1812544 2862428 3260344 3625088 5724856 6520688 7250176 11449712 13041376 14500352 22899424 26082752 45798848 52165504 90882089 91597696 104331008 181764178 183195392 208662016 363528356 366390784 727056712 1454113424 2908226848 5816453696 11632907392 23265814784 46531629568