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21937990272 = 27311172337359
BaseRepresentation
bin10100011011100110…
…110010101010000000
32002121220012101010020
4110123212302222000
5324412111142042
614024515133440
71404433561212
oct243346625200
962556171106
1021937990272
119338472880
124302ba4280
1320b8050343
1410c183c5b2
15885e803ec
hex51b9b2a80

21937990272 has 512 divisors, whose sum is σ = 72335462400. Its totient is φ = 5806817280.

The previous prime is 21937990271. The next prime is 21937990301. The reversal of 21937990272 is 27209973912.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (21937990271) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 61108429 + ... + 61108787.

It is an arithmetic number, because the mean of its divisors is an integer number (141280200).

Almost surely, 221937990272 is an apocalyptic number.

21937990272 is a gapful number since it is divisible by the number (22) 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 21937990272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36167731200).

21937990272 is an abundant number, since it is smaller than the sum of its proper divisors (50397472128).

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

21937990272 is a wasteful number, since it uses less digits than its factorization.

21937990272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 857304, while the sum is 51.

The spelling of 21937990272 in words is "twenty-one billion, nine hundred thirty-seven million, nine hundred ninety thousand, two hundred seventy-two".