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54426557025 = 325210321512
BaseRepresentation
bin110010101100000100…
…110101101001100001
312012111002011120022100
4302230010311221201
51342431144311100
641000410001013
73634512046551
oct625404655141
9165432146270
1054426557025
112109a410945
12a66b416169
135194b70839
1428c459d161
1516382c7400
hexcac135a61

54426557025 has 81 divisors (see below), whose sum is σ = 99095882067. Its totient is φ = 28555308000.

The previous prime is 54426556981. The next prime is 54426557051. The reversal of 54426557025 is 52075562445.

The square root of 54426557025 is 233295.

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

54426557025 is a `hidden beast` number, since 54 + 4 + 2 + 6 + 5 + 570 + 25 = 666.

It can be written as a sum of positive squares in only one way, i.e., 19593560529 + 34832996496 = 139977^2 + 186636^2 .

It is not a de Polignac number, because 54426557025 - 213 = 54426548833 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 360440700 + ... + 360440850.

Almost surely, 254426557025 is an apocalyptic number.

54426557025 is the 233295-th square number.

54426557025 is the 116648-th centered octagonal number.

It is an amenable number.

54426557025 is a deficient number, since it is larger than the sum of its proper divisors (44669325042).

54426557025 is a wasteful number, since it uses less digits than its factorization.

54426557025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 1680000, while the sum is 45.

The spelling of 54426557025 in words is "fifty-four billion, four hundred twenty-six million, five hundred fifty-seven thousand, twenty-five".

Divisors: 1 3 5 9 15 25 45 75 103 151 225 309 453 515 755 927 1359 1545 2265 2575 3775 4635 6795 7725 10609 11325 15553 22801 23175 31827 33975 46659 53045 68403 77765 95481 114005 139977 159135 205209 233295 265225 342015 388825 477405 570025 699885 795675 1026045 1166475 1601959 1710075 2348503 2387025 3499425 4805877 5130225 7045509 8009795 11742515 14417631 21136527 24029385 35227545 40048975 58712575 72088155 105682635 120146925 176137725 241895809 360440775 528413175 725687427 1209479045 2177062281 3628437135 6047395225 10885311405 18142185675 54426557025