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20913036480 = 26325731109307
BaseRepresentation
bin10011011110100000…
…111001110011000000
31222222110120022211200
4103132200321303000
5320312214131410
613335102541200
71340146606560
oct233640716300
958873508750
1020913036480
118961955926
124077897800
131c838b6ccb
141025676da0
15825ec03c0
hex4de839cc0

20913036480 has 672 divisors, whose sum is σ = 85917511680. Its totient is φ = 4568555520.

The previous prime is 20913036457. The next prime is 20913036493. The reversal of 20913036480 is 8463031902.

20913036480 is a `hidden beast` number, since 2 + 0 + 9 + 1 + 3 + 0 + 3 + 648 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 68120487 + ... + 68120793.

It is an arithmetic number, because the mean of its divisors is an integer number (127853440).

Almost surely, 220913036480 is an apocalyptic number.

20913036480 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 20913036480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42958755840).

20913036480 is an abundant number, since it is smaller than the sum of its proper divisors (65004475200).

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

20913036480 is a wasteful number, since it uses less digits than its factorization.

20913036480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 20913036480 in words is "twenty billion, nine hundred thirteen million, thirty-six thousand, four hundred eighty".