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5010666516 = 22322918772557
BaseRepresentation
bin1001010101010100…
…01011010000010100
3110221012110020021100
410222222023100110
540230212312031
62145111550100
7235111651122
oct45252132024
913835406240
105010666516
112141432a09
12b7a08b330
1361b12493b
1435767a912
151e4d61de6
hex12aa8b414

5010666516 has 72 divisors (see below), whose sum is σ = 13114712520. Its totient is φ = 1611138816.

The previous prime is 5010666511. The next prime is 5010666517. The reversal of 5010666516 is 6156660105.

It can be written as a sum of positive squares in 4 ways, for example, as 882090000 + 4128576516 = 29700^2 + 64254^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5010666511) 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 23 ways as a sum of consecutive naturals, for example, 1958310 + ... + 1960866.

It is an arithmetic number, because the mean of its divisors is an integer number (182148785).

Almost surely, 25010666516 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 5010666516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6557356260).

5010666516 is an abundant number, since it is smaller than the sum of its proper divisors (8104046004).

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

5010666516 is a wasteful number, since it uses less digits than its factorization.

5010666516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4473 (or 4468 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 5010666516 is about 70786.0615940737. The cubic root of 5010666516 is about 1711.1910487452.

The spelling of 5010666516 in words is "five billion, ten million, six hundred sixty-six thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 1044 1877 2557 3754 5114 5631 7508 7671 10228 11262 15342 16893 22524 23013 30684 33786 46026 54433 67572 74153 92052 108866 148306 163299 217732 222459 296612 326598 444918 489897 653196 667377 889836 979794 1334754 1959588 2669508 4799489 9598978 14398467 19197956 28796934 43195401 57593868 86390802 139185181 172781604 278370362 417555543 556740724 835111086 1252666629 1670222172 2505333258 5010666516