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412916666652 = 223372144753923
BaseRepresentation
bin1100000001000111100…
…00000101000100011100
31110110210212120000121000
412000203300011010130
523231123131313102
6513405153110300
741555313520200
oct6004360050434
91413725500530
10412916666652
1114a13176a216
1268038b58390
132cc26683669
1415db1838b00
15ab1a88901c
hex6023c0511c

412916666652 has 144 divisors (see below), whose sum is σ = 1246187953920. Its totient is φ = 117892472544.

The previous prime is 412916666623. The next prime is 412916666777. The reversal of 412916666652 is 256666619214.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 7630563 + ... + 7684485.

Almost surely, 2412916666652 is an apocalyptic number.

412916666652 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412916666652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623093976960).

412916666652 is an abundant number, since it is smaller than the sum of its proper divisors (833271287268).

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

412916666652 is a wasteful number, since it uses less digits than its factorization.

412916666652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55397 (or 55382 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 54.

The spelling of 412916666652 in words is "four hundred twelve billion, nine hundred sixteen million, six hundred sixty-six thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 84 98 108 126 147 189 196 252 294 378 441 588 756 882 1323 1447 1764 2646 2894 4341 5292 5788 8682 10129 13023 17364 20258 26046 30387 39069 40516 52092 53923 60774 70903 78138 91161 107846 121548 141806 156276 161769 182322 212709 215692 273483 283612 323538 364644 377461 425418 485307 546966 638127 647076 754922 850836 970614 1093932 1132383 1276254 1455921 1509844 1914381 1941228 2264766 2552508 2642227 2911842 3397149 3828762 4529532 5284454 5823684 6794298 7657524 7926681 10191447 10568908 13588596 15853362 20382894 23780043 31706724 40765788 47560086 71340129 78026581 95120172 142680258 156053162 234079743 285360516 312106324 468159486 546186067 702239229 936318972 1092372134 1404478458 1638558201 2106717687 2184744268 2808956916 3277116402 3823302469 4213435374 4915674603 6554232804 7646604938 8426870748 9831349206 11469907407 14747023809 15293209876 19662698412 22939814814 29494047618 34409722221 45879629628 58988095236 68819444442 103229166663 137638888884 206458333326 412916666652