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21374369280 = 293251131741
BaseRepresentation
bin10011111010000000…
…101111111000000000
32001011121122110110200
4103322000233320000
5322233314304110
613452542525200
71354451066265
oct237200577000
961147573420
1021374369280
119079302000
124186296800
1320283510b4
14106aa4526c
1585174b6c0
hex4fa02fe00

21374369280 has 960 divisors, whose sum is σ = 88314722496. Its totient is φ = 4757913600.

The previous prime is 21374369249. The next prime is 21374369287. The reversal of 21374369280 is 8296347312.

21374369280 is a `hidden beast` number, since 2 + 1 + 3 + 7 + 4 + 369 + 280 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21374369287) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 521326060 + ... + 521326100.

Almost surely, 221374369280 is an apocalyptic number.

21374369280 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 21374369280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44157361248).

21374369280 is an abundant number, since it is smaller than the sum of its proper divisors (66940353216).

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

21374369280 is a wasteful number, since it uses less digits than its factorization.

21374369280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 21374369280 in words is "twenty-one billion, three hundred seventy-four million, three hundred sixty-nine thousand, two hundred eighty".