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5105357856 = 253317347587
BaseRepresentation
bin1001100000100110…
…11001010000100000
3111011210122001101000
410300103121100200
540423432422411
62202333312000
7240341553144
oct46023312040
914153561330
105105357856
11218a928a15
12ba5935600
1363492a011
14366089224
151ed318956
hex1304d9420

5105357856 has 96 divisors (see below), whose sum is σ = 15766591680. Its totient is φ = 1601676288.

The previous prime is 5105357849. The next prime is 5105357897. The reversal of 5105357856 is 6587535015.

5105357856 is a `hidden beast` number, since 510 + 5 + 3 + 57 + 85 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 159106 + ... + 188481.

It is an arithmetic number, because the mean of its divisors is an integer number (164235330).

Almost surely, 25105357856 is an apocalyptic number.

It is an amenable number.

5105357856 is an abundant number, since it is smaller than the sum of its proper divisors (10661233824).

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

5105357856 is a wasteful number, since it uses less digits than its factorization.

5105357856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347623 (or 347609 counting only the distinct ones).

The product of its (nonzero) digits is 630000, while the sum is 45.

The square root of 5105357856 is about 71451.7869335680. The cubic root of 5105357856 is about 1721.9031862918.

The spelling of 5105357856 in words is "five billion, one hundred five million, three hundred fifty-seven thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 68 72 96 102 108 136 144 153 204 216 272 288 306 408 432 459 544 612 816 864 918 1224 1632 1836 2448 3672 4896 7344 14688 347587 695174 1042761 1390348 2085522 2780696 3128283 4171044 5561392 5908979 6256566 8342088 9384849 11122784 11817958 12513132 16684176 17726937 18769698 23635916 25026264 33368352 35453874 37539396 47271832 50052528 53180811 70907748 75078792 94543664 100105056 106361622 141815496 150157584 159542433 189087328 212723244 283630992 300315168 319084866 425446488 567261984 638169732 850892976 1276339464 1701785952 2552678928 5105357856