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76801496112 = 24331116161931
BaseRepresentation
bin100011110000110111…
…0011101010000110000
321100020102120020112000
41013201232131100300
52224242140333422
655140534334000
75356132642245
oct1074156352060
9240212506460
1076801496112
112a631495840
1212a747ba300
13731c59b273
143a0805d5cc
151ee77b8cac
hex11e1b9d430

76801496112 has 80 divisors (see below), whose sum is σ = 240489548160. Its totient is φ = 23273179200.

The previous prime is 76801496089. The next prime is 76801496119. The reversal of 76801496112 is 21169410867.

76801496112 is a `hidden beast` number, since 76 + 80 + 1 + 496 + 1 + 12 = 666.

It is a super-2 number, since 2×768014961122 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (76801496119) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 8076214 + ... + 8085717.

It is an arithmetic number, because the mean of its divisors is an integer number (3006119352).

Almost surely, 276801496112 is an apocalyptic number.

76801496112 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

76801496112 is an abundant number, since it is smaller than the sum of its proper divisors (163688052048).

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

76801496112 is a wasteful number, since it uses less digits than its factorization.

76801496112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16161959 (or 16161947 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 76801496112 in words is "seventy-six billion, eight hundred one million, four hundred ninety-six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 132 144 176 198 216 264 297 396 432 528 594 792 1188 1584 2376 4752 16161931 32323862 48485793 64647724 96971586 129295448 145457379 177781241 193943172 258590896 290914758 355562482 387886344 436372137 533343723 581829516 711124964 775772688 872744274 1066687446 1163659032 1422249928 1600031169 1745488548 2133374892 2327318064 2844499856 3200062338 3490977096 4266749784 4800093507 6400124676 6981954192 8533499568 9600187014 12800249352 19200374028 25600498704 38400748056 76801496112