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56749290552 = 23332918150053
BaseRepresentation
bin110100110110100001…
…010111010000111000
312102110221210122201000
4310312201113100320
51412210304244202
642023102125000
74046205003453
oct646641272070
9172427718630
1056749290552
1122081549a29
12abb9280760
135475145386
142a64c6849a
15172218991c
hexd36857438

56749290552 has 128 divisors (see below), whose sum is σ = 163976904000. Its totient is φ = 18162869760.

The previous prime is 56749290547. The next prime is 56749290553. The reversal of 56749290552 is 25509294765.

56749290552 is a `hidden beast` number, since 5 + 67 + 4 + 9 + 29 + 0 + 552 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56749290553) by changing a digit.

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, 1108758 + ... + 1158810.

Almost surely, 256749290552 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 56749290552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81988452000).

56749290552 is an abundant number, since it is smaller than the sum of its proper divisors (107227613448).

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

56749290552 is a wasteful number, since it uses less digits than its factorization.

56749290552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50278 (or 50268 counting only the distinct ones).

The product of its (nonzero) digits is 6804000, while the sum is 54.

The spelling of 56749290552 in words is "fifty-six billion, seven hundred forty-nine million, two hundred ninety thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 29 36 54 58 72 87 108 116 174 181 216 232 261 348 362 522 543 696 724 783 1044 1086 1448 1566 1629 2088 2172 3132 3258 4344 4887 5249 6264 6516 9774 10498 13032 15747 19548 20996 31494 39096 41992 47241 50053 62988 94482 100106 125976 141723 150159 188964 200212 283446 300318 377928 400424 450477 566892 600636 900954 1133784 1201272 1351431 1451537 1801908 2702862 2903074 3603816 4354611 5405724 5806148 8709222 9059593 10811448 11612296 13063833 17418444 18119186 26127666 27178779 34836888 36238372 39191499 52255332 54357558 72476744 78382998 81536337 104510664 108715116 156765996 163072674 217430232 244609011 262728197 313531992 326145348 489218022 525456394 652290696 788184591 978436044 1050912788 1576369182 1956872088 2101825576 2364553773 3152738364 4729107546 6305476728 7093661319 9458215092 14187322638 18916430184 28374645276 56749290552