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21990739680 = 253357133331
BaseRepresentation
bin10100011110110000…
…000000111011100000
32002202120110022201000
4110132300000323200
5330014112132210
614034041512000
71405644126450
oct243660007340
962676408630
1021990739680
119365221228
1243187a2600
1320c5c5c000
1410c884dd60
1588a8eeac0
hex51ec00ee0

21990739680 has 768 divisors, whose sum is σ = 95577753600. Its totient is φ = 4625786880.

The previous prime is 21990739663. The next prime is 21990739703. The reversal of 21990739680 is 8693709912.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 66437115 + ... + 66437445.

It is an arithmetic number, because the mean of its divisors is an integer number (124450200).

Almost surely, 221990739680 is an apocalyptic number.

21990739680 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 21990739680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47788876800).

21990739680 is an abundant number, since it is smaller than the sum of its proper divisors (73587013920).

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

21990739680 is a wasteful number, since it uses less digits than its factorization.

21990739680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 54.

The spelling of 21990739680 in words is "twenty-one billion, nine hundred ninety million, seven hundred thirty-nine thousand, six hundred eighty".