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54427122504 = 233667139291
BaseRepresentation
bin110010101100000110…
…111111101101001000
312012111010020022000000
4302230012333231020
51342431320410004
641000430043000
73634516623306
oct625406775510
9165433208000
1054427122504
112109a767787
12a66b649460
13519500b041
1428c46a9276
151638389c39
hexcac1bfb48

54427122504 has 112 divisors (see below), whose sum is σ = 155291079120. Its totient is φ = 17871464160.

The previous prime is 54427122487. The next prime is 54427122527. The reversal of 54427122504 is 40522172445.

54427122504 is a `hidden beast` number, since 5 + 4 + 4 + 27 + 122 + 504 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 321099 + ... + 460389.

Almost surely, 254427122504 is an apocalyptic number.

54427122504 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54427122504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77645539560).

54427122504 is an abundant number, since it is smaller than the sum of its proper divisors (100863956616).

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

54427122504 is a wasteful number, since it uses less digits than its factorization.

54427122504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139382 (or 139363 counting only the distinct ones).

The product of its (nonzero) digits is 89600, while the sum is 36.

Adding to 54427122504 its reverse (40522172445), we get a palindrome (94949294949).

The spelling of 54427122504 in words is "fifty-four billion, four hundred twenty-seven million, one hundred twenty-two thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 67 72 81 108 134 162 201 216 243 268 324 402 486 536 603 648 729 804 972 1206 1458 1608 1809 1944 2412 2916 3618 4824 5427 5832 7236 10854 14472 16281 21708 32562 43416 48843 65124 97686 130248 139291 195372 278582 390744 417873 557164 835746 1114328 1253619 1671492 2507238 3342984 3760857 5014476 7521714 9332497 10028952 11282571 15043428 18664994 22565142 27997491 30086856 33847713 37329988 45130284 55994982 67695426 74659976 83992473 90260568 101543139 111989964 135390852 167984946 203086278 223979928 251977419 270781704 335969892 406172556 503954838 671939784 755932257 812345112 1007909676 1511864514 2015819352 2267796771 3023729028 4535593542 6047458056 6803390313 9071187084 13606780626 18142374168 27213561252 54427122504