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5106688496 = 247133794793
BaseRepresentation
bin1001100000110000…
…11110000111110000
3111011220010122122222
410300120132013300
540424303012441
62202422020212
7240356064440
oct46030360760
914156118588
105106688496
112190657718
12ba6277668
13634ca4890
14366314120
151ed4ccd4b
hex13061e1f0

5106688496 has 80 divisors (see below), whose sum is σ = 12506741184. Its totient is φ = 1965606912.

The previous prime is 5106688487. The next prime is 5106688511. The reversal of 5106688496 is 6948866015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6476 + ... + 101268.

Almost surely, 25106688496 is an apocalyptic number.

5106688496 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5106688496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6253370592).

5106688496 is an abundant number, since it is smaller than the sum of its proper divisors (7400052688).

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

5106688496 is a wasteful number, since it uses less digits than its factorization.

5106688496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94858 (or 94852 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 53.

The square root of 5106688496 is about 71461.0977805407. The cubic root of 5106688496 is about 1722.0527699443.

The spelling of 5106688496 in words is "five billion, one hundred six million, six hundred eighty-eight thousand, four hundred ninety-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 37 52 56 74 91 104 112 148 182 208 259 296 364 481 518 592 728 962 1036 1456 1924 2072 3367 3848 4144 6734 7696 13468 26936 53872 94793 189586 379172 663551 758344 1232309 1327102 1516688 2464618 2654204 3507341 4929236 5308408 7014682 8626163 9858472 10616816 14029364 17252326 19716944 24551387 28058728 34504652 45595433 49102774 56117456 69009304 91190866 98205548 138018608 182381732 196411096 319168031 364763464 392822192 638336062 729526928 1276672124 2553344248 5106688496