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56423537720 = 235111931217717
BaseRepresentation
bin110100100011000110…
…101101110000111000
312101122020211200211022
4310203012231300320
51411023411201340
641530504122012
74035141104654
oct644306556070
9171566750738
1056423537720
1121a24686010
12ab28166308
1354227cb814
142a338ada64
1517037903b5
hexd231adc38

56423537720 has 128 divisors (see below), whose sum is σ = 150486681600. Its totient is φ = 18810662400.

The previous prime is 56423537717. The next prime is 56423537743. The reversal of 56423537720 is 2773532465.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 150302 + ... + 368018.

It is an arithmetic number, because the mean of its divisors is an integer number (1175677200).

Almost surely, 256423537720 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 56423537720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75243340800).

56423537720 is an abundant number, since it is smaller than the sum of its proper divisors (94063143880).

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

56423537720 is a wasteful number, since it uses less digits than its factorization.

56423537720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217789 (or 217785 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 44.

The spelling of 56423537720 in words is "fifty-six billion, four hundred twenty-three million, five hundred thirty-seven thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 11 19 20 22 31 38 40 44 55 62 76 88 95 110 124 152 155 190 209 220 248 310 341 380 418 440 589 620 682 760 836 1045 1178 1240 1364 1672 1705 2090 2356 2728 2945 3410 4180 4712 5890 6479 6820 8360 11780 12958 13640 23560 25916 32395 51832 64790 129580 217717 259160 435434 870868 1088585 1741736 2177170 2394887 4136623 4354340 4789774 6749227 8273246 8708680 9579548 11974435 13498454 16546492 19159096 20683115 23948870 26996908 33092984 33746135 41366230 45502853 47897740 53993816 67492270 74241497 82732460 91005706 95795480 128235313 134984540 148482994 165464920 182011412 227514265 256470626 269969080 296965988 364022824 371207485 455028530 512941252 593931976 641176565 742414970 910057060 1025882504 1282353130 1410588443 1484829940 1820114120 2564706260 2821176886 2969659880 5129412520 5642353772 7052942215 11284707544 14105884430 28211768860 56423537720