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55677725568 = 273414513701
BaseRepresentation
bin110011110110101001…
…101010101110000000
312022201021110111220000
4303312221222232000
51403011444204233
641324502520000
74010513600343
oct636651525600
9168637414800
1055677725568
1121681696333
12a95a436000
13533413c25a
1429a280c45a
1516ad06dd13
hexcf6a6ab80

55677725568 has 160 divisors (see below), whose sum is σ = 165855004920. Its totient is φ = 18541440000.

The previous prime is 55677725567. The next prime is 55677725569. The reversal of 55677725568 is 86552777655.

55677725568 is a `hidden beast` number, since 5 + 5 + 6 + 7 + 7 + 72 + 556 + 8 = 666.

55677725568 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (55677725567) and next prime (55677725569).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55677725563) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 15042118 + ... + 15045818.

Almost surely, 255677725568 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 55677725568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82927502460).

55677725568 is an abundant number, since it is smaller than the sum of its proper divisors (110177279352).

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

55677725568 is a wasteful number, since it uses less digits than its factorization.

55677725568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5178 (or 5157 counting only the distinct ones).

The product of its digits is 123480000, while the sum is 63.

The spelling of 55677725568 in words is "fifty-five billion, six hundred seventy-seven million, seven hundred twenty-five thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 288 324 384 432 576 648 864 1152 1296 1451 1728 2592 2902 3456 3701 4353 5184 5804 7402 8706 10368 11103 11608 13059 14804 17412 22206 23216 26118 29608 33309 34824 39177 44412 46432 52236 59216 66618 69648 78354 88824 92864 99927 104472 117531 118432 133236 139296 156708 177648 185728 199854 208944 235062 236864 266472 278592 299781 313416 355296 399708 417888 470124 473728 532944 557184 599562 626832 710592 799416 835776 940248 1065888 1199124 1253664 1421184 1598832 1671552 1880496 2131776 2398248 2507328 3197664 3760992 4263552 4796496 5014656 5370151 6395328 7521984 9592992 10740302 12790656 15043968 16110453 19185984 21480604 32220906 38371968 42961208 48331359 64441812 85922416 96662718 128883624 144994077 171844832 193325436 257767248 289988154 343689664 386650872 434982231 515534496 579976308 687379328 773301744 869964462 1031068992 1159952616 1546603488 1739928924 2062137984 2319905232 3093206976 3479857848 4639810464 6186413952 6959715696 9279620928 13919431392 18559241856 27838862784 55677725568