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51408146460 = 223511145153681
BaseRepresentation
bin101111111000001010…
…100001000000011100
311220200201111102102110
4233320022201000130
51320240441141320
635341102554020
73466641015006
oct577012410034
9156621442373
1051408146460
111a890616360
129b68598910
134b03711498
1426b9763376
15150d2e85e0
hexbf82a101c

51408146460 has 96 divisors (see below), whose sum is σ = 157139668224. Its totient is φ = 12453760000.

The previous prime is 51408146443. The next prime is 51408146473. The reversal of 51408146460 is 6464180415.

It is a congruent number.

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, 930820 + ... + 984500.

It is an arithmetic number, because the mean of its divisors is an integer number (1636871544).

Almost surely, 251408146460 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 51408146460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78569834112).

51408146460 is an abundant number, since it is smaller than the sum of its proper divisors (105731521764).

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

51408146460 is a wasteful number, since it uses less digits than its factorization.

51408146460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55155 (or 55153 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The spelling of 51408146460 in words is "fifty-one billion, four hundred eight million, one hundred forty-six thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 1451 2902 4353 5804 7255 8706 14510 15961 17412 21765 29020 31922 43530 47883 53681 63844 79805 87060 95766 107362 159610 161043 191532 214724 239415 268405 319220 322086 478830 536810 590491 644172 805215 957660 1073620 1180982 1610430 1771473 2361964 2952455 3220860 3542946 5904910 7085892 8857365 11809820 17714730 35429460 77891131 155782262 233673393 311564524 389455655 467346786 778911310 856802441 934693572 1168366965 1557822620 1713604882 2336733930 2570407323 3427209764 4284012205 4673467860 5140814646 8568024410 10281629292 12852036615 17136048820 25704073230 51408146460