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470682484116 = 2231317541328063
BaseRepresentation
bin1101101100101101101…
…11001011110110010100
31122222220200010121001220
412312112313023312110
530202424203442431
61000121211050340
746001644050165
oct6662667136624
91588820117056
10470682484116
11171684a9a929
127727a7409b0
13355012a1540
1418ad16b376c
15c39bdbbb96
hex6d96dcbd94

470682484116 has 96 divisors (see below), whose sum is σ = 1254632214528. Its totient is φ = 136053872640.

The previous prime is 470682484091. The next prime is 470682484121. The reversal of 470682484116 is 611484286074.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

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, 1270701 + ... + 1598763.

It is an arithmetic number, because the mean of its divisors is an integer number (13069085568).

Almost surely, 2470682484116 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 470682484116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627316107264).

470682484116 is an abundant number, since it is smaller than the sum of its proper divisors (783949730412).

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

470682484116 is a wasteful number, since it uses less digits than its factorization.

470682484116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328641 (or 328639 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 51.

The spelling of 470682484116 in words is "four hundred seventy billion, six hundred eighty-two million, four hundred eighty-four thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 12 13 17 26 34 39 51 52 68 78 102 156 204 221 442 541 663 884 1082 1326 1623 2164 2652 3246 6492 7033 9197 14066 18394 21099 27591 28132 36788 42198 55182 84396 110364 119561 239122 328063 358683 478244 656126 717366 984189 1312252 1434732 1968378 3936756 4264819 5577071 8529638 11154142 12794457 16731213 17059276 22308284 25588914 33462426 51177828 66924852 72501923 145003846 177482083 217505769 290007692 354964166 435011538 532446249 709928332 870023076 1064892498 2129784996 2307267079 3017195411 4614534158 6034390822 6921801237 9051586233 9229068316 12068781644 13843602474 18103172466 27687204948 36206344932 39223540343 78447080686 117670621029 156894161372 235341242058 470682484116