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5107607064 = 233373378047
BaseRepresentation
bin1001100000110111…
…11110011000011000
3111011221212022201000
410300123332120120
540430021411224
62202453425000
7240366641460
oct46033763030
914157768630
105107607064
11219112486a
12ba663b160
13635236a01
143664b2ba0
151ed6100c9
hex1306fe618

5107607064 has 64 divisors (see below), whose sum is σ = 16214630400. Its totient is φ = 1459315872.

The previous prime is 5107607051. The next prime is 5107607081. The reversal of 5107607064 is 4607067015.

5107607064 is a `hidden beast` number, since 510 + 76 + 0 + 70 + 6 + 4 = 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 15 ways as a sum of consecutive naturals, for example, 1687512 + ... + 1690535.

It is an arithmetic number, because the mean of its divisors is an integer number (253353600).

Almost surely, 25107607064 is an apocalyptic number.

5107607064 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

5107607064 is an abundant number, since it is smaller than the sum of its proper divisors (11107023336).

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

5107607064 is a wasteful number, since it uses less digits than its factorization.

5107607064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3378069 (or 3378059 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 5107607064 is about 71467.5245408710. The cubic root of 5107607064 is about 1722.1560154386.

It can be divided in two parts, 5107 and 607064, that added together give a triangular number (612171 = T1106).

The spelling of 5107607064 in words is "five billion, one hundred seven million, six hundred seven thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 1512 3378047 6756094 10134141 13512188 20268282 23646329 27024376 30402423 40536564 47292658 60804846 70938987 81073128 91207269 94585316 121609692 141877974 182414538 189170632 212816961 243219384 283755948 364829076 425633922 567511896 638450883 729658152 851267844 1276901766 1702535688 2553803532 5107607064