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113323796496 = 243810392
BaseRepresentation
bin110100110001010011…
…1111110100000010000
3101211111201201100000000
41221202213332200100
53324041342441441
6124021002130000
711121161243151
oct1514247764020
9354451640000
10113323796496
1144073368669
1219b67ab0900
13a8bccc16b1
1456b07d5928
152e33ceb2b6
hex1a629fe810

113323796496 has 135 divisors (see below), whose sum is σ = 329647824831. Its totient is φ = 37738242144.

The previous prime is 113323796477. The next prime is 113323796527. The reversal of 113323796496 is 694697323311.

The square root of 113323796496 is 336636.

It is a perfect power (a square), and thus also a powerful number.

113323796496 is a `hidden beast` number, since 1 + 1 + 3 + 32 + 37 + 96 + 496 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 109069545 + ... + 109070583.

Almost surely, 2113323796496 is an apocalyptic number.

113323796496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

113323796496 is the 336636-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113323796496

113323796496 is an abundant number, since it is smaller than the sum of its proper divisors (216324028335).

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

113323796496 is an frugal number, since it uses more digits than its factorization.

113323796496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2110 (or 1044 counting only the distinct ones).

The product of its digits is 4408992, while the sum is 54.

The spelling of 113323796496 in words is "one hundred thirteen billion, three hundred twenty-three million, seven hundred ninety-six thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 729 972 1039 1296 1458 1944 2078 2187 2916 3117 3888 4156 4374 5832 6234 6561 8312 8748 9351 11664 12468 13122 16624 17496 18702 24936 26244 28053 34992 37404 49872 52488 56106 74808 84159 104976 112212 149616 168318 224424 252477 336636 448848 504954 673272 757431 1009908 1079521 1346544 1514862 2019816 2159042 2272293 3029724 3238563 4039632 4318084 4544586 6059448 6477126 6816879 8636168 9089172 9715689 12118896 12954252 13633758 17272336 18178344 19431378 25908504 27267516 29147067 36356688 38862756 51817008 54535032 58294134 77725512 87441201 109070064 116588268 155451024 174882402 233176536 262323603 349764804 466353072 524647206 699529608 786970809 1049294412 1399059216 1573941618 2098588824 2360912427 3147883236 4197177648 4721824854 6295766472 7082737281 9443649708 12591532944 14165474562 18887299416 28330949124 37774598832 56661898248 113323796496