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51016441125 = 35313172921227
BaseRepresentation
bin101111100000110100…
…010001110100100101
311212200102102201201110
4233200310101310211
51313440202104000
635234151215233
73454143410646
oct574064216445
9155612381643
1051016441125
111a6aa4a6341
129a79377519
134a70515490
14267d71b6cd
1514d8c22850
hexbe0d11d25

51016441125 has 128 divisors (see below), whose sum is σ = 100141816320. Its totient is φ = 22822195200.

The previous prime is 51016441123. The next prime is 51016441219. The reversal of 51016441125 is 52114461015.

It is not a de Polignac number, because 51016441125 - 21 = 51016441123 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 51016441092 and 51016441101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51016441123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2392762 + ... + 2413988.

It is an arithmetic number, because the mean of its divisors is an integer number (782357940).

Almost surely, 251016441125 is an apocalyptic number.

It is an amenable number.

51016441125 is a deficient number, since it is larger than the sum of its proper divisors (49125375195).

51016441125 is a wasteful number, since it uses less digits than its factorization.

51016441125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21304 (or 21294 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

The spelling of 51016441125 in words is "fifty-one billion, sixteen million, four hundred forty-one thousand, one hundred twenty-five".

Divisors: 1 3 5 13 15 17 25 29 39 51 65 75 85 87 125 145 195 221 255 325 375 377 425 435 493 663 725 975 1105 1131 1275 1479 1625 1885 2125 2175 2465 3315 3625 4875 5525 5655 6375 6409 7395 9425 10875 12325 16575 19227 21227 27625 28275 32045 36975 47125 61625 63681 82875 96135 106135 141375 160225 184875 275951 318405 360859 480675 530675 615583 801125 827853 1082577 1379755 1592025 1804295 1846749 2403375 2653375 3077915 4139265 4691167 5412885 6898775 7960125 8002579 9021475 9233745 10464911 14073501 15389575 20696325 23455835 24007737 27064425 31394733 34493875 40012895 45107375 46168725 52324555 70367505 76947875 103481625 117279175 120038685 135322125 136043843 156973665 200064475 230843625 261622775 351837525 408131529 586395875 600193425 680219215 784868325 1000322375 1308113875 1759187625 2040657645 3000967125 3401096075 3924341625 10203288225 17005480375 51016441125