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21920998680 = 2333572467887
BaseRepresentation
bin10100011010100101…
…111110010100011000
32002120201020010001000
4110122211332110120
5324343233424210
614023111025000
71404136262100
oct243245762430
962521203030
1021920998680
119329917839
1242b936b160
1320b4681349
1410bd498200
15884725ac0
hex51a97e518

21920998680 has 384 divisors, whose sum is σ = 85277836800. Its totient is φ = 4994148096.

The previous prime is 21920998661. The next prime is 21920998739. The reversal of 21920998680 is 8689902912.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24713197 + ... + 24714083.

It is an arithmetic number, because the mean of its divisors is an integer number (222077700).

Almost surely, 221920998680 is an apocalyptic number.

21920998680 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 21920998680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42638918400).

21920998680 is an abundant number, since it is smaller than the sum of its proper divisors (63356838120).

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

21920998680 is a wasteful number, since it uses less digits than its factorization.

21920998680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1388 (or 1371 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The spelling of 21920998680 in words is "twenty-one billion, nine hundred twenty million, nine hundred ninety-eight thousand, six hundred eighty".