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51242004135 = 36572008309
BaseRepresentation
bin101111101110010000…
…101110111010100111
311220021010212112000000
4233232100232322213
51314420423113020
635312405552343
73462552564030
oct575620567247
9156233775000
1051242004135
111a805859153
129b20a156b3
134aa818000a
1426a1675a87
1514ed92b090
hexbee42eea7

51242004135 has 56 divisors (see below), whose sum is σ = 105363975840. Its totient is φ = 23424904512.

The previous prime is 51242004133. The next prime is 51242004167. The reversal of 51242004135 is 53140024215.

51242004135 is a `hidden beast` number, since 5 + 1 + 242 + 0 + 0 + 413 + 5 = 666.

It is not a de Polignac number, because 51242004135 - 21 = 51242004133 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 51242004099 and 51242004108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51242004133) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 978640 + ... + 1029669.

Almost surely, 251242004135 is an apocalyptic number.

51242004135 is an abundant number, since it is smaller than the sum of its proper divisors (54121971705).

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

51242004135 is an equidigital number, since it uses as much as digits as its factorization.

51242004135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2008339 (or 2008324 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The spelling of 51242004135 in words is "fifty-one billion, two hundred forty-two million, four thousand, one hundred thirty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 81 105 135 189 243 315 405 567 729 945 1215 1701 2835 3645 5103 8505 25515 2008309 6024927 10041545 14058163 18074781 30124635 42174489 54224343 70290815 90373905 126523467 162673029 210872445 271121715 379570401 488019087 632617335 813365145 1138711203 1464057261 1897852005 2440095435 3416133609 5693556015 7320286305 10248400827 17080668045 51242004135