Search a number
-
+
47664310464 = 263327583513
BaseRepresentation
bin101100011001000000…
…111010100011000000
311120000210210211221000
4230121000322203000
51240104030413324
633521403332000
73305110645161
oct543100724300
9146023724830
1047664310464
111923a295a21
1292a2821000
134657bb0004
142442451768
15138e7c39c9
hexb1903a8c0

47664310464 has 56 divisors (see below), whose sum is σ = 140124251120. Its totient is φ = 15888102912.

The previous prime is 47664310457. The next prime is 47664310469. The reversal of 47664310464 is 46401346674.

It is not an unprimeable number, because it can be changed into a prime (47664310469) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 13790029 + ... + 13793484.

It is an arithmetic number, because the mean of its divisors is an integer number (2502218770).

Almost surely, 247664310464 is an apocalyptic number.

It is an amenable number.

47664310464 is an abundant number, since it is smaller than the sum of its proper divisors (92459940656).

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

47664310464 is a wasteful number, since it uses less digits than its factorization.

47664310464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27583534 (or 27583518 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 47664310464 in words is "forty-seven billion, six hundred sixty-four million, three hundred ten thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 27583513 55167026 82750539 110334052 165501078 220668104 248251617 331002156 441336208 496503234 662004312 744754851 882672416 993006468 1324008624 1489509702 1765344832 1986012936 2648017248 2979019404 3972025872 5296034496 5958038808 7944051744 11916077616 15888103488 23832155232 47664310464