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3863994266880 = 283251189397863
BaseRepresentation
bin111000001110101000000…
…000010111010100000000
3111200101122101220121021100
4320032220000113110000
51001301430013020010
612115032223054400
7546110244231546
oct70165000272400
914611571817240
103863994266880
11125a790036340
12524a4ba41400
132204b08cb787
14d50383b1d96
156a7a0c7a2c0
hex383a8017500

3863994266880 has 864 divisors, whose sum is σ = 14802534190080. Its totient is φ = 922797342720.

The previous prime is 3863994266861. The next prime is 3863994266897. The reversal of 3863994266880 is 886624993683.

3863994266880 is a `hidden beast` number, since 3 + 8 + 63 + 9 + 9 + 426 + 68 + 80 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 3863994266799 and 3863994266808.

It is a congruent number.

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, 4477397329 + ... + 4477398191.

It is an arithmetic number, because the mean of its divisors is an integer number (17132562720).

Almost surely, 23863994266880 is an apocalyptic number.

3863994266880 is a gapful number since it is divisible by the number (30) 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 3863994266880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7401267095040).

3863994266880 is an abundant number, since it is smaller than the sum of its proper divisors (10938539923200).

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

3863994266880 is a wasteful number, since it uses less digits than its factorization.

3863994266880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1387 (or 1370 counting only the distinct ones).

The product of its (nonzero) digits is 644972544, while the sum is 72.

The spelling of 3863994266880 in words is "three trillion, eight hundred sixty-three billion, nine hundred ninety-four million, two hundred sixty-six thousand, eight hundred eighty".