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21297570000 = 243547372741
BaseRepresentation
bin10011110101011011…
…110010000011010000
32000222021010122122220
4103311123302003100
5322104134220000
613441200501040
71352526233550
oct236533620320
960867118586
1021297570000
119039a17623
12416461a780
132015471835
141060773160
15849b2b1a0
hex4f56f20d0

21297570000 has 400 divisors, whose sum is σ = 80726059392. Its totient is φ = 4734720000.

The previous prime is 21297569977. The next prime is 21297570013. The reversal of 21297570000 is 7579212.

It is a tau number, because it is divible by the number of its divisors (400).

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 79 ways as a sum of consecutive naturals, for example, 7768630 + ... + 7771370.

Almost surely, 221297570000 is an apocalyptic number.

21297570000 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 21297570000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40363029696).

21297570000 is an abundant number, since it is smaller than the sum of its proper divisors (59428489392).

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

21297570000 is a wasteful number, since it uses less digits than its factorization.

21297570000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2816 (or 2795 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 33.

The spelling of 21297570000 in words is "twenty-one billion, two hundred ninety-seven million, five hundred seventy thousand".