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56440711620 = 223251721084981
BaseRepresentation
bin110100100100001000…
…001110100111000100
312101200110011012222200
4310210020032213010
51411042310232440
641532320154500
74035440063436
oct644410164704
9171613135880
1056440711620
1121a33346017
12ab31a68a30
1354262327a7
142a35ca0656
151705033c30
hexd2420e9c4

56440711620 has 108 divisors (see below), whose sum is σ = 181866852804. Its totient is φ = 14165498880.

The previous prime is 56440711571. The next prime is 56440711633. The reversal of 56440711620 is 2611704465.

56440711620 is a `hidden beast` number, since 5 + 644 + 0 + 7 + 1 + 1 + 6 + 2 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 8182287936 + 48258423684 = 90456^2 + 219678^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 490471 + ... + 594510.

Almost surely, 256440711620 is an apocalyptic number.

It is an amenable number.

56440711620 is an abundant number, since it is smaller than the sum of its proper divisors (125426141184).

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

56440711620 is a wasteful number, since it uses less digits than its factorization.

56440711620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1085030 (or 1085008 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 56440711620 in words is "fifty-six billion, four hundred forty million, seven hundred eleven thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 289 306 340 510 578 612 765 867 1020 1156 1445 1530 1734 2601 2890 3060 3468 4335 5202 5780 8670 10404 13005 17340 26010 52020 1084981 2169962 3254943 4339924 5424905 6509886 9764829 10849810 13019772 16274715 18444677 19529658 21699620 32549430 36889354 39059316 48824145 55334031 65098860 73778708 92223385 97648290 110668062 166002093 184446770 195296580 221336124 276670155 313559509 332004186 368893540 553340310 627119018 664008372 830010465 940678527 1106680620 1254238036 1567797545 1660020930 1881357054 2822035581 3135595090 3320041860 3762714108 4703392635 5644071162 6271190180 9406785270 11288142324 14110177905 18813570540 28220355810 56440711620