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92308998091968 = 26337311243710069
BaseRepresentation
bin10100111111010001011101…
…000010100111010011000000
3110002211122122210100120212000
4110333101131002213103000
544044342312002420333
6524154100204104000
725305051011441550
oct2477213502472300
9402748583316760
1092308998091968
112745a031a28989
12a42a128835000
133c67916613378
1418b1aca751160
15aa127ee69713
hex53f45d0a74c0

92308998091968 has 448 divisors, whose sum is σ = 311294512588800. Its totient is φ = 26275798241280.

The previous prime is 92308998091957. The next prime is 92308998091997. The reversal of 92308998091968 is 86919089980329.

92308998091968 is a `hidden beast` number, since 9 + 2 + 308 + 99 + 80 + 91 + 9 + 68 = 666.

92308998091968 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×923089980919682 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9167638038 + ... + 9167648106.

Almost surely, 292308998091968 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 92308998091968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155647256294400).

92308998091968 is an abundant number, since it is smaller than the sum of its proper divisors (218985514496832).

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

92308998091968 is a wasteful number, since it uses less digits than its factorization.

92308998091968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12845 (or 12829 counting only the distinct ones).

The product of its (nonzero) digits is 1088391168, while the sum is 81.

The spelling of 92308998091968 in words is "ninety-two trillion, three hundred eight billion, nine hundred ninety-eight million, ninety-one thousand, nine hundred sixty-eight".