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468326016 = 2733135511
BaseRepresentation
bin11011111010100…
…001011010000000
31012122020102112000
4123322201122000
51424342413031
6114245504000
714414463654
oct3372413200
91178212460
10468326016
112203a32a4
12110a12000
13760451b2
14462aca64
152b1ad3e6
hex1bea1680

468326016 has 64 divisors (see below), whose sum is σ = 1382222400. Its totient is φ = 156107520.

The previous prime is 468326009. The next prime is 468326071. The reversal of 468326016 is 610623864.

468326016 is a `hidden beast` number, since 46 + 8 + 3 + 2 + 601 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 7 ways as a sum of consecutive naturals, for example, 64300 + ... + 71211.

It is an arithmetic number, because the mean of its divisors is an integer number (21597225).

Almost surely, 2468326016 is an apocalyptic number.

It is an amenable number.

468326016 is an abundant number, since it is smaller than the sum of its proper divisors (913896384).

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

468326016 is a wasteful number, since it uses less digits than its factorization.

468326016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135534 (or 135516 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 468326016 is about 21640.8413884488. The cubic root of 468326016 is about 776.5738483965.

The spelling of 468326016 in words is "four hundred sixty-eight million, three hundred twenty-six thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1728 3456 135511 271022 406533 542044 813066 1084088 1219599 1626132 2168176 2439198 3252264 3658797 4336352 4878396 6504528 7317594 8672704 9756792 13009056 14635188 17345408 19513584 26018112 29270376 39027168 52036224 58540752 78054336 117081504 156108672 234163008 468326016