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51354445560 = 233511113344291
BaseRepresentation
bin101111110100111101…
…101010011011111000
311220112222110010122020
4233310331222123320
51320133214224220
635331503554440
73465416404425
oct576475523370
9156488403566
1051354445560
111a863278050
129b525bba20
134ac555b6c2
1426b2584d4c
15150873c040
hexbf4f6a6f8

51354445560 has 128 divisors (see below), whose sum is σ = 169556924160. Its totient is φ = 12339353600.

The previous prime is 51354445553. The next prime is 51354445561. The reversal of 51354445560 is 6554445315.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51354445561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22986 + ... + 321305.

It is an arithmetic number, because the mean of its divisors is an integer number (1324663470).

Almost surely, 251354445560 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 51354445560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84778462080).

51354445560 is an abundant number, since it is smaller than the sum of its proper divisors (118202478600).

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

51354445560 is a wasteful number, since it uses less digits than its factorization.

51354445560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344429 (or 344425 counting only the distinct ones).

The product of its (nonzero) digits is 720000, while the sum is 42.

The spelling of 51354445560 in words is "fifty-one billion, three hundred fifty-four million, four hundred forty-five thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 113 120 132 165 220 226 264 330 339 440 452 565 660 678 904 1130 1243 1320 1356 1695 2260 2486 2712 3390 3729 4520 4972 6215 6780 7458 9944 12430 13560 14916 18645 24860 29832 37290 49720 74580 149160 344291 688582 1032873 1377164 1721455 2065746 2754328 3442910 3787201 4131492 5164365 6885820 7574402 8262984 10328730 11361603 13771640 15148804 18936005 20657460 22723206 30297608 37872010 38904883 41314920 45446412 56808015 75744020 77809766 90892824 113616030 116714649 151488040 155619532 194524415 227232060 233429298 311239064 389048830 427953713 454464120 466858596 583573245 778097660 855907426 933717192 1167146490 1283861139 1556195320 1711814852 2139768565 2334292980 2567722278 3423629704 4279537130 4668585960 5135444556 6419305695 8559074260 10270889112 12838611390 17118148520 25677222780 51354445560