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5168775392 = 251125389283
BaseRepresentation
bin1001101000001010…
…10100000011100000
3111100012221222212122
410310011110003200
541041201303032
62212520443412
7242041603004
oct46405240340
914305858778
105168775392
112212703500
121003019568
13644b026a1
14370676704
15203b94012
hex1341540e0

5168775392 has 144 divisors (see below), whose sum is σ = 11565030960. Its totient is φ = 2271160320.

The previous prime is 5168775389. The next prime is 5168775401. The reversal of 5168775392 is 2935778615.

It is a Harshad number since it is a multiple of its sum of digits (53).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18264083 + ... + 18264365.

It is an arithmetic number, because the mean of its divisors is an integer number (80312715).

Almost surely, 25168775392 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 5168775392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5782515480).

5168775392 is an abundant number, since it is smaller than the sum of its proper divisors (6396255568).

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

5168775392 is a wasteful number, since it uses less digits than its factorization.

5168775392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 438 counting only the distinct ones).

The product of its digits is 3175200, while the sum is 53.

The square root of 5168775392 is about 71894.1958157959. The cubic root of 5168775392 is about 1729.0035572910.

The spelling of 5168775392 in words is "five billion, one hundred sixty-eight million, seven hundred seventy-five thousand, three hundred ninety-two".

Divisors: 1 2 4 8 11 16 22 32 44 53 88 89 106 121 176 178 212 242 283 352 356 424 484 566 583 712 848 968 979 1132 1166 1424 1696 1936 1958 2264 2332 2848 3113 3872 3916 4528 4664 4717 6226 6413 7832 9056 9328 9434 10769 12452 12826 14999 15664 18656 18868 21538 24904 25187 25652 29998 31328 34243 37736 43076 49808 50374 51304 51887 59996 68486 75472 86152 99616 100748 102608 103774 119992 136972 150944 164989 172304 201496 205216 207548 239984 273944 277057 329978 344608 402992 415096 479968 547888 554114 570757 659956 805984 830192 1095776 1108228 1141514 1319912 1334911 1660384 1814879 2216456 2283028 2639824 2669822 3047627 3629758 4432912 4566056 5279648 5339644 6095254 7259516 8865824 9132112 10679288 12190508 14519032 14684021 18264224 21358576 24381016 29038064 29368042 42717152 48762032 58076128 58736084 97524064 117472168 161524231 234944336 323048462 469888672 646096924 1292193848 2584387696 5168775392