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20969377873920 = 21434573114563
BaseRepresentation
bin1001100010010010100000…
…10100011100000000000000
32202020122121222221202020000
410301021100110130000000
510222030241213431140
6112333111010120000
74262662506010260
oct461112024340000
982218558852200
1020969377873920
116755077159413
12242800a280000
13b91533342838
14526ccd7937a0
152656dd084a30
hex13125051c000

20969377873920 has 1200 divisors, whose sum is σ = 88693937891328. Its totient is φ = 4638069227520.

The previous prime is 20969377873903. The next prime is 20969377873957. The reversal of 20969377873920 is 2937877396902.

20969377873920 is a `hidden beast` number, since 2 + 0 + 9 + 6 + 93 + 77 + 87 + 392 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1439900559 + ... + 1439915121.

Almost surely, 220969377873920 is an apocalyptic number.

20969377873920 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 20969377873920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44346968945664).

20969377873920 is an abundant number, since it is smaller than the sum of its proper divisors (67724560017408).

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

20969377873920 is an equidigital number, since it uses as much as digits as its factorization.

20969377873920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14646 (or 14611 counting only the distinct ones).

The product of its (nonzero) digits is 432081216, while the sum is 72.

The spelling of 20969377873920 in words is "twenty trillion, nine hundred sixty-nine billion, three hundred seventy-seven million, eight hundred seventy-three thousand, nine hundred twenty".