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5102813376 = 263736457
BaseRepresentation
bin1001100000010011…
…01100000011000000
3111011121211210000000
410300021230003000
540422310012001
62202203000000
7240311124633
oct46011540300
914147753000
105102813376
112189450241
12ba4b09000
13634248acb
143659c5c1a
151eceb4a86
hex13026c0c0

5102813376 has 112 divisors (see below), whose sum is σ = 15186944480. Its totient is φ = 1700891136.

The previous prime is 5102813321. The next prime is 5102813377. The reversal of 5102813376 is 6733182015.

5102813376 is a `hidden beast` number, since 5 + 1 + 0 + 281 + 3 + 376 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 5102813376.

It is not an unprimeable number, because it can be changed into a prime (5102813377) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121740 + ... + 158196.

Almost surely, 25102813376 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 5102813376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7593472240).

5102813376 is an abundant number, since it is smaller than the sum of its proper divisors (10084131104).

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

5102813376 is an frugal number, since it uses more digits than its factorization.

5102813376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36490 (or 36462 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 5102813376 is about 71433.9791415822. The cubic root of 5102813376 is about 1721.6170766515.

The spelling of 5102813376 in words is "five billion, one hundred two million, eight hundred thirteen thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 243 288 324 432 486 576 648 729 864 972 1296 1458 1728 1944 2187 2592 2916 3888 4374 5184 5832 7776 8748 11664 15552 17496 23328 34992 36457 46656 69984 72914 109371 139968 145828 218742 291656 328113 437484 583312 656226 874968 984339 1166624 1312452 1749936 1968678 2333248 2624904 2953017 3499872 3937356 5249808 5906034 6999744 7874712 8859051 10499616 11812068 15749424 17718102 20999232 23624136 26577153 31498848 35436204 47248272 53154306 62997696 70872408 79731459 94496544 106308612 141744816 159462918 188993088 212617224 283489632 318925836 425234448 566979264 637851672 850468896 1275703344 1700937792 2551406688 5102813376