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54091595776 = 214232792
BaseRepresentation
bin110010011000000111…
…000100000000000000
312011121201212202212011
4302120013010000000
51341234422031101
640503242342304
73623303656261
oct623007040000
9164551782764
1054091595776
1120a38328569
12a5971ba994
13514065180a
142891cc8968
151618bae751
hexc981c4000

54091595776 has 135 divisors (see below), whose sum is σ = 114537474471. Its totient is φ = 25542426624.

The previous prime is 54091595773. The next prime is 54091595783. The reversal of 54091595776 is 67759519045.

The square root of 54091595776 is 232576.

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

It is a self number, because there is not a number n which added to its sum of digits gives 54091595776.

It is not an unprimeable number, because it can be changed into a prime (54091595773) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 684703705 + ... + 684703783.

Almost surely, 254091595776 is an apocalyptic number.

54091595776 is the 232576-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54091595776

54091595776 is an abundant number, since it is smaller than the sum of its proper divisors (60445878695).

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

54091595776 is an frugal number, since it uses more digits than its factorization.

54091595776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 11907000, while the sum is 58.

The spelling of 54091595776 in words is "fifty-four billion, ninety-one million, five hundred ninety-five thousand, seven hundred seventy-six".

Divisors: 1 2 4 8 16 23 32 46 64 79 92 128 158 184 256 316 368 512 529 632 736 1024 1058 1264 1472 1817 2048 2116 2528 2944 3634 4096 4232 5056 5888 6241 7268 8192 8464 10112 11776 12482 14536 16384 16928 20224 23552 24964 29072 33856 40448 41791 47104 49928 58144 67712 80896 83582 94208 99856 116288 135424 143543 161792 167164 188416 199712 232576 270848 287086 323584 334328 376832 399424 465152 541696 574172 647168 668656 798848 930304 1083392 1148344 1294336 1337312 1597696 1860608 2166784 2296688 2674624 3195392 3301489 3721216 4333568 4593376 5349248 6390784 6602978 7442432 8667136 9186752 10698496 12781568 13205956 14884864 18373504 21396992 25563136 26411912 29769728 36747008 42793984 51126272 52823824 73494016 85587968 102252544 105647648 146988032 171175936 211295296 293976064 342351872 422590592 587952128 684703744 845181184 1175904256 1690362368 2351808512 3380724736 6761449472 13522898944 27045797888 54091595776