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51425064340 = 22513591492151
BaseRepresentation
bin101111111001001011…
…000011010110010100
311220201220022221101121
4233321023003112110
51320304304024330
635342505333324
73500234556166
oct577113032624
9156656287347
1051425064340
111a89a120a81
129b72197244
134b07085a70
1426bbac8936
15150ea3b17a
hexbf92c3594

51425064340 has 144 divisors (see below), whose sum is σ = 119858578560. Its totient is φ = 18417830400.

The previous prime is 51425064331. The next prime is 51425064343. The reversal of 51425064340 is 4346052415.

It is a junction number, because it is equal to n+sod(n) for n = 51425064296 and 51425064305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51425064343) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 340563265 + ... + 340563415.

It is an arithmetic number, because the mean of its divisors is an integer number (832351240).

Almost surely, 251425064340 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 51425064340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59929289280).

51425064340 is an abundant number, since it is smaller than the sum of its proper divisors (68433514220).

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

51425064340 is a wasteful number, since it uses less digits than its factorization.

51425064340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 34.

The spelling of 51425064340 in words is "fifty-one billion, four hundred twenty-five million, sixty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 59 65 118 130 149 151 236 260 295 298 302 590 596 604 745 755 767 1180 1490 1510 1534 1937 1963 2980 3020 3068 3835 3874 3926 7670 7748 7852 8791 8909 9685 9815 15340 17582 17818 19370 19630 22201 22499 35164 35636 38740 39260 43955 44402 44545 44998 87910 88804 89090 89996 111005 112495 114283 115817 175820 178180 222010 224990 228566 231634 288613 292487 444020 449980 457132 463268 571415 577226 579085 584974 1142830 1154452 1158170 1169948 1309859 1327441 1443065 1462435 2285660 2316340 2619718 2654882 2886130 2924870 3352351 5239436 5309764 5772260 5849740 6549295 6637205 6704702 13098590 13274410 13409404 16761755 17028167 17256733 26197180 26548820 33523510 34056334 34513466 43580563 67047020 68112668 69026932 85140835 86283665 87161126 170281670 172567330 174322252 197788709 217902815 340563340 345134660 395577418 435805630 791154836 871611260 988943545 1977887090 2571253217 3955774180 5142506434 10285012868 12856266085 25712532170 51425064340