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9881814016 = 21014896481
BaseRepresentation
bin10010011010000000…
…01000010000000000
3221111200101011102201
421031000020100000
5130214221022031
64312321322544
7466611014254
oct111500102000
927450334381
109881814016
114211032148
121ab9496454
13c1637a139
1469a59a264
153cc814d61
hex24d008400

9881814016 has 44 divisors (see below), whose sum is σ = 19770294460. Its totient is φ = 4936826880.

The previous prime is 9881813989. The next prime is 9881814031. The reversal of 9881814016 is 6104181889.

It can be written as a sum of positive squares in 2 ways, for example, as 6196838400 + 3684975616 = 78720^2 + 60704^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1521496 + ... + 1527976.

Almost surely, 29881814016 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 9881814016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9885147230).

9881814016 is an abundant number, since it is smaller than the sum of its proper divisors (9888480444).

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

9881814016 is a wasteful number, since it uses less digits than its factorization.

9881814016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7990 (or 7972 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 46.

The square root of 9881814016 is about 99407.3136947177. The cubic root of 9881814016 is about 2145.9135659676.

The spelling of 9881814016 in words is "nine billion, eight hundred eighty-one million, eight hundred fourteen thousand, sixteen".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 1489 2978 5956 6481 11912 12962 23824 25924 47648 51848 95296 103696 190592 207392 381184 414784 762368 829568 1524736 1659136 3318272 6636544 9650209 19300418 38600836 77201672 154403344 308806688 617613376 1235226752 2470453504 4940907008 9881814016