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20873671632 = 2432114327127
BaseRepresentation
bin10011011100001010…
…101111001111010000
31222212201111101102100
4103130022233033100
5320222124443012
613331135120400
71336161165342
oct233412571720
958781441370
1020873671632
1189417094a0
124066673100
131c786b35b8
14102034b292
158227e68dc
hex4dc2af3d0

20873671632 has 180 divisors, whose sum is σ = 65253618144. Its totient is φ = 6177386880.

The previous prime is 20873671607. The next prime is 20873671639. The reversal of 20873671632 is 23617637802.

20873671632 is a `hidden beast` number, since 2 + 0 + 8 + 7 + 3 + 6 + 7 + 1 + 632 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20873671639) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2925253 + ... + 2932379.

Almost surely, 220873671632 is an apocalyptic number.

20873671632 is a gapful number since it is divisible by the number (22) 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 20873671632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32626809072).

20873671632 is an abundant number, since it is smaller than the sum of its proper divisors (44379946512).

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

20873671632 is a wasteful number, since it uses less digits than its factorization.

20873671632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7238 (or 7186 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 20873671632 in words is "twenty billion, eight hundred seventy-three million, six hundred seventy-one thousand, six hundred thirty-two".