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51071411292 = 223112971187909
BaseRepresentation
bin101111100100000101…
…111110010001011100
311212211020212111121120
4233210011332101130
51314043240130132
635243433330540
73455411555556
oct574405762134
9155736774546
1051071411292
111a728531230
129a93866a50
134a7ba20bc5
142686b4a4d6
1514dd98002c
hexbe417e45c

51071411292 has 96 divisors (see below), whose sum is σ = 136377561600. Its totient is φ = 14731987200.

The previous prime is 51071411269. The next prime is 51071411309. The reversal of 51071411292 is 29211417015.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 177834 + ... + 365742.

It is an arithmetic number, because the mean of its divisors is an integer number (1420599600).

Almost surely, 251071411292 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 51071411292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68188780800).

51071411292 is an abundant number, since it is smaller than the sum of its proper divisors (85306150308).

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

51071411292 is a wasteful number, since it uses less digits than its factorization.

51071411292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188027 (or 188025 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 33.

The spelling of 51071411292 in words is "fifty-one billion, seventy-one million, four hundred eleven thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 11 12 22 29 33 44 58 66 71 87 116 132 142 174 213 284 319 348 426 638 781 852 957 1276 1562 1914 2059 2343 3124 3828 4118 4686 6177 8236 9372 12354 22649 24708 45298 67947 90596 135894 187909 271788 375818 563727 751636 1127454 2066999 2254908 4133998 5449361 6200997 8267996 10898722 12401994 13341539 16348083 21797444 24803988 26683078 32696166 40024617 53366156 59942971 65392332 80049234 119885942 146756929 160098468 179828913 239771884 293513858 359657826 386904631 440270787 587027716 719315652 773809262 880541574 1160713893 1547618524 1761083148 2321427786 4255950941 4642855572 8511901882 12767852823 17023803764 25535705646 51071411292