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168722072064 = 2934713219181
BaseRepresentation
bin1001110100100010011…
…1101000001000000000
3121010111112100022120000
42131020213220020000
510231020322301224
6205302043320000
715122042643510
oct2351047501000
9533445308500
10168722072064
1165611235a87
1228848820000
1312bab279700
14824805d840
1545c756a0c9
hex27489e8200

168722072064 has 1200 divisors, whose sum is σ = 659634655680. Its totient is φ = 41923215360.

The previous prime is 168722072017. The next prime is 168722072153. The reversal of 168722072064 is 460270227861.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 932166054 + ... + 932166234.

Almost surely, 2168722072064 is an apocalyptic number.

168722072064 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 168722072064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329817327840).

168722072064 is an abundant number, since it is smaller than the sum of its proper divisors (490912583616).

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

168722072064 is a wasteful number, since it uses less digits than its factorization.

168722072064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 168722072064 in words is "one hundred sixty-eight billion, seven hundred twenty-two million, seventy-two thousand, sixty-four".