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56835567984 = 24313237189361
BaseRepresentation
bin110100111011101010…
…011111000101110000
312102200222011000002110
4310323222133011300
51412344401133414
642035423245320
74051303233246
oct647352370560
9172628130073
1056835567984
1122116218498
12b022149840
135489c92b00
142a724c6796
151729a2d459
hexd3ba9f170

56835567984 has 120 divisors (see below), whose sum is σ = 163286095152. Its totient is φ = 17015132160.

The previous prime is 56835567983. The next prime is 56835568007. The reversal of 56835567984 is 48976553865.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56835567983) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 205464 + ... + 394824.

Almost surely, 256835567984 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 56835567984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81643047576).

56835567984 is an abundant number, since it is smaller than the sum of its proper divisors (106450527168).

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

56835567984 is a wasteful number, since it uses less digits than its factorization.

56835567984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189435 (or 189416 counting only the distinct ones).

The product of its digits is 217728000, while the sum is 66.

The spelling of 56835567984 in words is "fifty-six billion, eight hundred thirty-five million, five hundred sixty-seven thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 37 39 48 52 74 78 104 111 148 156 169 208 222 296 312 338 444 481 507 592 624 676 888 962 1014 1352 1443 1776 1924 2028 2704 2886 3848 4056 5772 6253 7696 8112 11544 12506 18759 23088 25012 37518 50024 75036 100048 150072 189361 300144 378722 568083 757444 1136166 1514888 2272332 2461693 3029776 4544664 4923386 7006357 7385079 9089328 9846772 14012714 14770158 19693544 21019071 28025428 29540316 32002009 39387088 42038142 56050856 59080632 64004018 84076284 91082641 96006027 112101712 118161264 128008036 168152568 182165282 192012054 256016072 273247923 336305136 364330564 384024108 512032144 546495846 728661128 768048216 1092991692 1184074333 1457322256 1536096432 2185983384 2368148666 3552222999 4371966768 4736297332 7104445998 9472594664 14208891996 18945189328 28417783992 56835567984