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27922291320 = 233572111922721
BaseRepresentation
bin11010000000010011…
…000101101001111000
32200001221201100212210
4122000103011221320
5424141101310240
620454411335120
72005640363100
oct320023055170
980057640783
1027922291320
1110929450820
1254b31514a0
13282cab0591
1414cc522200
15ad6516780
hex6804c5a78

27922291320 has 384 divisors, whose sum is σ = 111901305600. Its totient is φ = 5496422400.

The previous prime is 27922291307. The next prime is 27922291381. The reversal of 27922291320 is 2319222972.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1217560 + ... + 1240280.

It is an arithmetic number, because the mean of its divisors is an integer number (291409650).

Almost surely, 227922291320 is an apocalyptic number.

27922291320 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 27922291320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55950652800).

27922291320 is an abundant number, since it is smaller than the sum of its proper divisors (83979014280).

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

27922291320 is a wasteful number, since it uses less digits than its factorization.

27922291320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22779 (or 22768 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The spelling of 27922291320 in words is "twenty-seven billion, nine hundred twenty-two million, two hundred ninety-one thousand, three hundred twenty".