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86490035898720 = 25354743166113457
BaseRepresentation
bin10011101010100110000111…
…110111011100100101100000
3102100020100220022101111102120
4103222212013313130211200
542314023043142224340
6503540550213344240
724134461501053216
oct2352460767344540
9370210808344376
1086490035898720
1125616244524243
12984a422038080
133934c8ac1145c
1417501d650acb6
159eec0e8884d0
hex4ea987ddc960

86490035898720 has 384 divisors, whose sum is σ = 279328525443072. Its totient is φ = 22485169766400.

The previous prime is 86490035898719. The next prime is 86490035898757. The reversal of 86490035898720 is 2789853009468.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6427134232 + ... + 6427147688.

It is an arithmetic number, because the mean of its divisors is an integer number (727418035008).

Almost surely, 286490035898720 is an apocalyptic number.

86490035898720 is a gapful number since it is divisible by the number (80) 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 86490035898720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139664262721536).

86490035898720 is an abundant number, since it is smaller than the sum of its proper divisors (192838489544352).

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

86490035898720 is a wasteful number, since it uses less digits than its factorization.

86490035898720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14614 (or 14606 counting only the distinct ones).

The product of its (nonzero) digits is 209018880, while the sum is 69.

The spelling of 86490035898720 in words is "eighty-six trillion, four hundred ninety billion, thirty-five million, eight hundred ninety-eight thousand, seven hundred twenty".