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988973664 = 25372210241
BaseRepresentation
bin111010111100101…
…000101001100000
32112220221001211020
4322330220221200
54011134124124
6242045045440
733336065100
oct7274505140
92486831736
10988973664
11468282608
12237256880
13129b79423
14954bb200
155bc54379
hex3af28a60

988973664 has 72 divisors (see below), whose sum is σ = 3019916088. Its totient is φ = 282562560.

The previous prime is 988973653. The next prime is 988973707. The reversal of 988973664 is 466379889.

It is a junction number, because it is equal to n+sod(n) for n = 988973598 and 988973607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 100417 + ... + 109824.

It is an arithmetic number, because the mean of its divisors is an integer number (41943279).

Almost surely, 2988973664 is an apocalyptic number.

It is an amenable number.

988973664 is an abundant number, since it is smaller than the sum of its proper divisors (2030942424).

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

988973664 is a wasteful number, since it uses less digits than its factorization.

988973664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210268 (or 210253 counting only the distinct ones).

The product of its digits is 15676416, while the sum is 60.

The square root of 988973664 is about 31447.9516662055. The cubic root of 988973664 is about 996.3109624030.

The spelling of 988973664 in words is "nine hundred eighty-eight million, nine hundred seventy-three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 336 392 588 672 784 1176 1568 2352 4704 210241 420482 630723 840964 1261446 1471687 1681928 2522892 2943374 3363856 4415061 5045784 5886748 6727712 8830122 10091568 10301809 11773496 17660244 20183136 20603618 23546992 30905427 35320488 41207236 47093984 61810854 70640976 82414472 123621708 141281952 164828944 247243416 329657888 494486832 988973664