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9936101376 = 213321941173
BaseRepresentation
bin10010100000011110…
…01110000000000000
3221122110112020200200
421100033032000000
5130322120221001
64321541045200
7501140316405
oct112017160000
927573466620
109936101376
114239741033
121b136b6800
13c246a6b36
146a388c2ac
153d248a086
hex2503ce000

9936101376 has 336 divisors, whose sum is σ = 31129010640. Its totient is φ = 3043491840.

The previous prime is 9936101347. The next prime is 9936101393. The reversal of 9936101376 is 6731016399.

It is a super-2 number, since 2×99361013762 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57434026 + ... + 57434198.

It is an arithmetic number, because the mean of its divisors is an integer number (92645865).

Almost surely, 29936101376 is an apocalyptic number.

9936101376 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9936101376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15564505320).

9936101376 is an abundant number, since it is smaller than the sum of its proper divisors (21192909264).

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

9936101376 is a wasteful number, since it uses less digits than its factorization.

9936101376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 183708, while the sum is 45.

The square root of 9936101376 is about 99679.9948635633. The cubic root of 9936101376 is about 2149.8360340795.

The spelling of 9936101376 in words is "nine billion, nine hundred thirty-six million, one hundred one thousand, three hundred seventy-six".