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163097432064 = 212397172
BaseRepresentation
bin1001011111100101011…
…1010101000000000000
3120120222112121000000000
42113321113111000000
510133010420311224
6202532000000000
714532464204250
oct2277127250000
9516875530000
10163097432064
1163195280776
1227739000000
13124c2ba5b68
147c7303d960
15439887a0c9
hex25f95d5000

163097432064 has 780 divisors, whose sum is σ = 593937142304. Its totient is φ = 43858132992.

The previous prime is 163097432059. The next prime is 163097432083. The reversal of 163097432064 is 460234790361.

163097432064 is a `hidden beast` number, since 1 + 630 + 9 + 7 + 4 + 3 + 2 + 0 + 6 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 9593966584 + ... + 9593966600.

Almost surely, 2163097432064 is an apocalyptic number.

163097432064 is a gapful number since it is divisible by the number (14) 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 163097432064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296968571152).

163097432064 is an abundant number, since it is smaller than the sum of its proper divisors (430839710240).

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

163097432064 is an frugal number, since it uses more digits than its factorization.

163097432064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 163097432064 in words is "one hundred sixty-three billion, ninety-seven million, four hundred thirty-two thousand, sixty-four".