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51240406956 = 2231910712291709
BaseRepresentation
bin101111101110001010…
…101000111110101100
311220021000212101002020
4233232022220332230
51314420021010311
635312311430140
73462533162364
oct575612507654
9156230771066
1051240406956
111a804968172
129b20385350
134aa7a4103b
1426a137b9a4
1514ed712c06
hexbee2a8fac

51240406956 has 96 divisors (see below), whose sum is σ = 127207584000. Its totient is φ = 16007539968.

The previous prime is 51240406949. The next prime is 51240406981. The reversal of 51240406956 is 65960404215.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29981830 + ... + 29983538.

It is an arithmetic number, because the mean of its divisors is an integer number (1325079000).

Almost surely, 251240406956 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51240406956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63603792000).

51240406956 is an abundant number, since it is smaller than the sum of its proper divisors (75967177044).

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

51240406956 is a wasteful number, since it uses less digits than its factorization.

51240406956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3071 (or 3069 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The spelling of 51240406956 in words is "fifty-one billion, two hundred forty million, four hundred six thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 12 19 38 57 76 107 114 214 228 321 428 642 1229 1284 1709 2033 2458 3418 3687 4066 4916 5127 6099 6836 7374 8132 10254 12198 14748 20508 23351 24396 32471 46702 64942 70053 93404 97413 129884 131503 140106 182863 194826 263006 280212 365726 389652 394509 526012 548589 731452 789018 1097178 1578036 2100361 2194356 2498557 3474397 4200722 4997114 6301083 6948794 7495671 8401444 9994228 10423191 12602166 13897588 14991342 20846382 25204332 29982684 39906859 41692764 79813718 119720577 159627436 224738627 239441154 449477254 478882308 674215881 898954508 1348431762 2696863524 4270033913 8540067826 12810101739 17080135652 25620203478 51240406956