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5103684135 = 3251115716563
BaseRepresentation
bin1001100000011010…
…00000101000100111
3111011200111000110100
410300031000220213
540423020343020
62202233355143
7240321412404
oct46015005047
914150430410
105103684135
112189995480
12ba5268ab3
13634492254
14365b712ab
151ed0d7a90
hex130340a27

5103684135 has 48 divisors (see below), whose sum is σ = 9658217088. Its totient is φ = 2472561600.

The previous prime is 5103684083. The next prime is 5103684149. The reversal of 5103684135 is 5314863015.

5103684135 is a `hidden beast` number, since 510 + 3 + 6 + 8 + 4 + 135 = 666.

It is not a de Polignac number, because 5103684135 - 222 = 5099489831 is a prime.

It is a super-5 number, since 5×51036841355 (a number of 50 digits) contains 55555 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 5103684135.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 774364 + ... + 780926.

It is an arithmetic number, because the mean of its divisors is an integer number (201212856).

Almost surely, 25103684135 is an apocalyptic number.

5103684135 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

5103684135 is a deficient number, since it is larger than the sum of its proper divisors (4554532953).

5103684135 is a wasteful number, since it uses less digits than its factorization.

5103684135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8156 (or 8153 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 5103684135 is about 71440.0737331646. The cubic root of 5103684135 is about 1721.7149983397.

The spelling of 5103684135 in words is "five billion, one hundred three million, six hundred eighty-four thousand, one hundred thirty-five".

Divisors: 1 3 5 9 11 15 33 45 55 99 165 495 1571 4713 6563 7855 14139 17281 19689 23565 32815 51843 59067 70695 72193 86405 98445 155529 216579 259215 295335 360965 649737 777645 1082895 3248685 10310473 30931419 51552365 92794257 113415203 154657095 340245609 463971285 567076015 1020736827 1701228045 5103684135