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55737543744 = 263610932
BaseRepresentation
bin110011111010001101…
…110110110001000000
312022212110000121000000
4303322031312301000
51403122302344434
641334441000000
74012141206351
oct637215666100
9168773017000
1055737543744
1121702432643
12a976483000
13534365451c
1429aa73dd28
1516b3437b99
hexcfa376c40

55737543744 has 147 divisors (see below), whose sum is σ = 165982281573. Its totient is φ = 18562182912.

The previous prime is 55737543713. The next prime is 55737543779. The reversal of 55737543744 is 44734573755.

The square root of 55737543744 is 236088.

It is a perfect power (a square), and thus also a powerful number.

55737543744 is a `hidden beast` number, since 5 + 57 + 3 + 7 + 543 + 7 + 44 = 666.

55737543744 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 54924609600 + 812934144 = 234360^2 + 28512^2 .

It is a super-2 number, since 2×557375437442 (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 50994462 + ... + 50995554.

Almost surely, 255737543744 is an apocalyptic number.

55737543744 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

55737543744 is the 236088-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55737543744

55737543744 is an abundant number, since it is smaller than the sum of its proper divisors (110244737829).

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

55737543744 is an frugal number, since it uses more digits than its factorization.

55737543744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2216 (or 1098 counting only the distinct ones).

The product of its digits is 24696000, while the sum is 54.

The spelling of 55737543744 in words is "fifty-five billion, seven hundred thirty-seven million, five hundred forty-three thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 243 288 324 432 486 576 648 729 864 972 1093 1296 1458 1728 1944 2186 2592 2916 3279 3888 4372 5184 5832 6558 7776 8744 9837 11664 13116 15552 17488 19674 23328 26232 29511 34976 39348 46656 52464 59022 69952 78696 88533 104928 118044 157392 177066 209856 236088 265599 314784 354132 472176 531198 629568 708264 796797 944352 1062396 1194649 1416528 1593594 1888704 2124792 2389298 2833056 3187188 3583947 4249584 4778596 5666112 6374376 7167894 8499168 9557192 10751841 12748752 14335788 16998336 19114384 21503682 25497504 28671576 32255523 38228768 43007364 50995008 57343152 64511046 76457536 86014728 96766569 114686304 129022092 172029456 193533138 229372608 258044184 290299707 344058912 387066276 516088368 580599414 688117824 774132552 870899121 1032176736 1161198828 1548265104 1741798242 2064353472 2322397656 3096530208 3483596484 4644795312 6193060416 6967192968 9289590624 13934385936 18579181248 27868771872 55737543744