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96833007194112 = 212337219249499
BaseRepresentation
bin10110000001000110110000…
…111111110001000000000000
3110200212010220202121202112000
4112001012300333301000000
5100143002444320202422
6541540245215504000
726252645121354600
oct2601066077610000
9420763822552460
1096833007194112
1128943714147822
12aa3aa76228000
13420540c6c1b87
1419caa577dcc00
15b2dcae745cac
hex5811b0ff1000

96833007194112 has 936 divisors, whose sum is σ = 352210215060000. Its totient is φ = 26209908523008.

The previous prime is 96833007194107. The next prime is 96833007194113. The reversal of 96833007194112 is 21149170033869.

96833007194112 is a `hidden beast` number, since 9 + 6 + 8 + 330 + 0 + 7 + 194 + 112 = 666.

It is a super-3 number, since 3×968330071941123 (a number of 43 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (96833007194113) 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 71 ways as a sum of consecutive naturals, for example, 1956237139 + ... + 1956286637.

Almost surely, 296833007194112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96833007194112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176105107530000).

96833007194112 is an abundant number, since it is smaller than the sum of its proper divisors (255377207865888).

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

96833007194112 is a wasteful number, since it uses less digits than its factorization.

96833007194112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49584 (or 49530 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 96833007194112 in words is "ninety-six trillion, eight hundred thirty-three billion, seven million, one hundred ninety-four thousand, one hundred twelve".