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163915424064 = 26337223731153
BaseRepresentation
bin1001100010101000011…
…1101110000101000000
3120200002112210022002000
42120222013232011000
510141144322032224
6203145100224000
714561656054500
oct2305207560500
9520075708060
10163915424064
1163574a90217
1227926b3b000
13125c34b81b2
147d0d92da00
1543e55a80c9
hex262a1ee140

163915424064 has 672 divisors, whose sum is σ = 593454378240. Its totient is φ = 44144787456.

The previous prime is 163915424021. The next prime is 163915424117. The reversal of 163915424064 is 460424519361.

163915424064 is a `hidden beast` number, since 1 + 6 + 3 + 9 + 1 + 542 + 40 + 64 = 666.

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

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, 142163712 + ... + 142164864.

Almost surely, 2163915424064 is an apocalyptic number.

163915424064 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 163915424064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296727189120).

163915424064 is an abundant number, since it is smaller than the sum of its proper divisors (429538954176).

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

163915424064 is a wasteful number, since it uses less digits than its factorization.

163915424064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1284 (or 1261 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 163915424064 in words is "one hundred sixty-three billion, nine hundred fifteen million, four hundred twenty-four thousand, sixty-four".