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21602000640 = 2835111767449
BaseRepresentation
bin10100000111100101…
…000101111100000000
32001202110222022222210
4110013211011330000
5323220103010030
613531313502120
71363213655463
oct240745057400
961673868883
1021602000640
1191858478a0
12422a571940
1320635611cc
14108cd7b2da
15866712bb0
hex507945f00

21602000640 has 576 divisors, whose sum is σ = 81060134400. Its totient is φ = 4844421120.

The previous prime is 21602000603. The next prime is 21602000659. The reversal of 21602000640 is 4600020612.

It is a happy number.

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 8980 × 268 × 8976.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 48111136 + ... + 48111584.

It is an arithmetic number, because the mean of its divisors is an integer number (140729400).

Almost surely, 221602000640 is an apocalyptic number.

21602000640 is a gapful number since it is divisible by the number (20) 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 21602000640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40530067200).

21602000640 is an abundant number, since it is smaller than the sum of its proper divisors (59458133760).

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

21602000640 is a wasteful number, since it uses less digits than its factorization.

21602000640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568 (or 554 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The spelling of 21602000640 in words is "twenty-one billion, six hundred two million, six hundred forty", and thus it is an aban number.