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10016922240 = 2733513174361
BaseRepresentation
bin10010101010000111…
…00001101010000000
3221212002121101002000
421111003201222000
5131003313002430
64333545224000
7503141301633
oct112503415200
927762541060
1010016922240
114280322a36
121b36792000
13c38363a30
146b04c9c1a
153d9601e60
hex2550e1a80

10016922240 has 1024 divisors, whose sum is σ = 42072307200. Its totient is φ = 2229534720.

The previous prime is 10016922239. The next prime is 10016922259. The reversal of 10016922240 is 4222961001.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 164211810 + ... + 164211870.

Almost surely, 210016922240 is an apocalyptic number.

10016922240 is a gapful number since it is divisible by the number (10) 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 10016922240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21036153600).

10016922240 is an abundant number, since it is smaller than the sum of its proper divisors (32055384960).

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

10016922240 is a wasteful number, since it uses less digits than its factorization.

10016922240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 10016922240 in words is "ten billion, sixteen million, nine hundred twenty-two thousand, two hundred forty".