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9965094356 = 22723109141961
BaseRepresentation
bin10010100011111011…
…10100010111010100
3221201111002020120202
421101331310113110
5130402031004411
64324454320032
7501641622140
oct112175642724
927644066522
109965094356
114254043978
121b21359018
13c2a6b8649
146a7678220
153d4cb583b
hex251f745d4

9965094356 has 48 divisors (see below), whose sum is σ = 20987662080. Its totient is φ = 4047563520.

The previous prime is 9965094343. The next prime is 9965094389. The reversal of 9965094356 is 6534905699.

It is a super-4 number, since 4×99650943564 (a number of 41 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 785 + ... + 141176.

It is an arithmetic number, because the mean of its divisors is an integer number (437242960).

Almost surely, 29965094356 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 9965094356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10493831040).

9965094356 is an abundant number, since it is smaller than the sum of its proper divisors (11022567724).

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

9965094356 is a wasteful number, since it uses less digits than its factorization.

9965094356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142104 (or 142102 counting only the distinct ones).

The product of its (nonzero) digits is 7873200, while the sum is 56.

The square root of 9965094356 is about 99825.3192131135. The cubic root of 9965094356 is about 2151.9250367170.

The spelling of 9965094356 in words is "nine billion, nine hundred sixty-five million, ninety-four thousand, three hundred fifty-six".

Divisors: 1 2 4 7 14 23 28 46 92 109 161 218 322 436 644 763 1526 2507 3052 5014 10028 17549 35098 70196 141961 283922 567844 993727 1987454 3265103 3974908 6530206 13060412 15473749 22855721 30947498 45711442 61894996 91422884 108316243 216632486 355896227 433264972 711792454 1423584908 2491273589 4982547178 9965094356