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5015208768 = 263314192011
BaseRepresentation
bin1001010101110111…
…00000001101000000
3110221112000000001220
410222323200031000
540232343140033
62145353155040
7235165366623
oct45273401500
913845000056
105015208768
112143a55639
12b7b6bba80
1361c05526b
143580dddba
151e545cbb3
hex12aee0340

5015208768 has 112 divisors (see below), whose sum is σ = 13736970240. Its totient is φ = 1613145600.

The previous prime is 5015208763. The next prime is 5015208841. The reversal of 5015208768 is 8678025105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5015208763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2492883 + ... + 2494893.

It is an arithmetic number, because the mean of its divisors is an integer number (122651520).

Almost surely, 25015208768 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 5015208768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6868485120).

5015208768 is an abundant number, since it is smaller than the sum of its proper divisors (8721761472).

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

5015208768 is a wasteful number, since it uses less digits than its factorization.

5015208768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2476 (or 2466 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 42.

The square root of 5015208768 is about 70818.1386934167. The cubic root of 5015208768 is about 1711.7079668996.

The spelling of 5015208768 in words is "five billion, fifteen million, two hundred eight thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 186 192 248 372 419 496 744 838 992 1257 1488 1676 1984 2011 2514 2976 3352 4022 5028 5952 6033 6704 8044 10056 12066 12989 13408 16088 20112 24132 25978 26816 32176 38967 40224 48264 51956 62341 64352 77934 80448 96528 103912 124682 128704 155868 187023 193056 207824 249364 311736 374046 386112 415648 498728 623472 748092 831296 842609 997456 1246944 1496184 1685218 1994912 2493888 2527827 2992368 3370436 3989824 5055654 5984736 6740872 10111308 11969472 13481744 20222616 26120879 26963488 40445232 52241758 53926976 78362637 80890464 104483516 156725274 161780928 208967032 313450548 417934064 626901096 835868128 1253802192 1671736256 2507604384 5015208768