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117116496 = 2433738729
BaseRepresentation
bin1101111101100…
…00111001010000
322011101010122000
412332300321100
5214440211441
615342114000
72621321340
oct676607120
9264333560
10117116496
11601223a2
123327b900
131b357603
14117a8d20
15a4362b6
hex6fb0e50

117116496 has 80 divisors (see below), whose sum is σ = 384201600. Its totient is φ = 33460992.

The previous prime is 117116449. The next prime is 117116497. The reversal of 117116496 is 694611711.

117116496 is a `hidden beast` number, since 1 + 1 + 7 + 1 + 1 + 649 + 6 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 117116496.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117116497) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16341 + ... + 22388.

It is an arithmetic number, because the mean of its divisors is an integer number (4802520).

Almost surely, 2117116496 is an apocalyptic number.

117116496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

117116496 is an abundant number, since it is smaller than the sum of its proper divisors (267085104).

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

117116496 is a wasteful number, since it uses less digits than its factorization.

117116496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38753 (or 38741 counting only the distinct ones).

The product of its digits is 9072, while the sum is 36.

The square root of 117116496 is about 10822.0375161057. The cubic root of 117116496 is about 489.2596009517.

The spelling of 117116496 in words is "one hundred seventeen million, one hundred sixteen thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1512 3024 38729 77458 116187 154916 232374 271103 309832 348561 464748 542206 619664 697122 813309 929496 1045683 1084412 1394244 1626618 1858992 2091366 2168824 2439927 2788488 3253236 4182732 4337648 4879854 5576976 6506472 7319781 8365464 9759708 13012944 14639562 16730928 19519416 29279124 39038832 58558248 117116496