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5106621816 = 2332314748679
BaseRepresentation
bin1001100000110000…
…01101110101111000
3111011220000021012100
410300120031311320
540424243344231
62202420343400
7240355366152
oct46030156570
914156007170
105106621816
11219061160a
12ba6244b60
13634c8041a
143662d7ad2
151ed4b81e6
hex13060dd78

5106621816 has 96 divisors (see below), whose sum is σ = 14580633600. Its totient is φ = 1612215360.

The previous prime is 5106621781. The next prime is 5106621841. The reversal of 5106621816 is 6181266015.

5106621816 is a `hidden beast` number, since 5 + 10 + 6 + 621 + 8 + 16 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80565 + ... + 129243.

It is an arithmetic number, because the mean of its divisors is an integer number (151881600).

Almost surely, 25106621816 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 5106621816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7290316800).

5106621816 is an abundant number, since it is smaller than the sum of its proper divisors (9474011784).

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

5106621816 is a wasteful number, since it uses less digits than its factorization.

5106621816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48769 (or 48762 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 5106621816 is about 71460.6312314690. The cubic root of 5106621816 is about 1722.0452747427.

The spelling of 5106621816 in words is "five billion, one hundred six million, six hundred twenty-one thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 47 62 72 93 94 124 141 186 188 248 279 282 372 376 423 558 564 744 846 1116 1128 1457 1692 2232 2914 3384 4371 5828 8742 11656 13113 17484 26226 34968 48679 52452 97358 104904 146037 194716 292074 389432 438111 584148 876222 1168296 1509049 1752444 2287913 3018098 3504888 4527147 4575826 6036196 6863739 9054294 9151652 12072392 13581441 13727478 18108588 18303304 20591217 27162882 27454956 36217176 41182434 54325764 54909912 70925303 82364868 108651528 141850606 164729736 212775909 283701212 425551818 567402424 638327727 851103636 1276655454 1702207272 2553310908 5106621816