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9016390656 = 210327132827
BaseRepresentation
bin10000110010110101…
…10011010000000000
3212021100221002202200
420121122303100000
5121431144000111
64050404313200
7436302025140
oct103132632000
925240832680
109016390656
113907576829
1218b76a2800
13b08c9b900
14617680920
1537b868256
hex2196b3400

9016390656 has 396 divisors, whose sum is σ = 32257641312. Its totient is φ = 2375073792.

The previous prime is 9016390639. The next prime is 9016390693. The reversal of 9016390656 is 6560936109.

9016390656 is a `hidden beast` number, since 9 + 0 + 1 + 639 + 0 + 6 + 5 + 6 = 666.

It is a super-2 number, since 2×90163906562 (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 35 ways as a sum of consecutive naturals, for example, 10902115 + ... + 10902941.

Almost surely, 29016390656 is an apocalyptic number.

9016390656 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 9016390656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16128820656).

9016390656 is an abundant number, since it is smaller than the sum of its proper divisors (23241250656).

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

9016390656 is a wasteful number, since it uses less digits than its factorization.

9016390656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 886 (or 852 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The square root of 9016390656 is about 94954.6768516433. The cubic root of 9016390656 is about 2081.3457957259.

The spelling of 9016390656 in words is "nine billion, sixteen million, three hundred ninety thousand, six hundred fifty-six".