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406628337564 = 223271126132
BaseRepresentation
bin1011110101011001111…
…00000000011110011100
31102212120121221210202200
411322230330000132130
523130233323300224
6510445200251500
741243425561221
oct5725474003634
91385517853680
10406628337564
111474a5106529
1266983010b90
132c463945087
1415976613948
15a89d79a5c9
hex5eacf0079c

406628337564 has 54 divisors (see below), whose sum is σ = 1042425709416. Its totient is φ = 133623131040.

The previous prime is 406628337547. The next prime is 406628337587. The reversal of 406628337564 is 465733826604.

406628337564 is a `hidden beast` number, since 4 + 0 + 6 + 628 + 3 + 3 + 7 + 5 + 6 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 406628337564.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 32232522 + ... + 32245134.

It is an arithmetic number, because the mean of its divisors is an integer number (19304179804).

Almost surely, 2406628337564 is an apocalyptic number.

It is an amenable number.

406628337564 is an abundant number, since it is smaller than the sum of its proper divisors (635797371852).

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

406628337564 is an equidigital number, since it uses as much as digits as its factorization.

406628337564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25307 (or 12689 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 54.

The spelling of 406628337564 in words is "four hundred six billion, six hundred twenty-eight million, three hundred thirty-seven thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 71 142 213 284 426 639 852 1278 2556 12613 25226 37839 50452 75678 113517 151356 227034 454068 895523 1791046 2686569 3582092 5373138 8059707 10746276 16119414 32238828 159087769 318175538 477263307 636351076 954526614 1431789921 1909053228 2863579842 5727159684 11295231599 22590463198 33885694797 45180926396 67771389594 101657084391 135542779188 203314168782 406628337564