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20879377920 = 293252331241
BaseRepresentation
bin10011011100100000…
…100000011000000000
31222220010020021222100
4103130200200120000
5320230110043140
613331501310400
71336260532632
oct233440403000
958803207870
1020879377920
118944956735
124068565400
131c799309bb
141020dd4a52
15823072530
hex4dc820600

20879377920 has 720 divisors, whose sum is σ = 79869325536. Its totient is φ = 5028249600.

The previous prime is 20879377867. The next prime is 20879377927. The reversal of 20879377920 is 2977397802.

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20879377927) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 509253100 + ... + 509253140.

Almost surely, 220879377920 is an apocalyptic number.

20879377920 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 20879377920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39934662768).

20879377920 is an abundant number, since it is smaller than the sum of its proper divisors (58989947616).

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

20879377920 is a wasteful number, since it uses less digits than its factorization.

20879377920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 2667168, while the sum is 54.

The spelling of 20879377920 in words is "twenty billion, eight hundred seventy-nine million, three hundred seventy-seven thousand, nine hundred twenty".