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165375608896 = 26508332
BaseRepresentation
bin1001101000000100100…
…1111000100001000000
3120210212022101101002201
42122001021320201000
510202142123441041
6203550021122544
714643106324231
oct2320111704100
9523768341081
10165375608896
1164154246743
1228073b59454
1312796b79aa4
14800b82b088
15447d88a631
hex2681278840

165375608896 has 21 divisors (see below), whose sum is σ = 328173679821. Its totient is φ = 82686177792.

The previous prime is 165375608863. The next prime is 165375608897. The reversal of 165375608896 is 698806573561.

The square root of 165375608896 is 406664.

It is a perfect power (a square), and thus also a powerful number.

165375608896 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 81544513600 + 83831095296 = 285560^2 + 289536^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (165375608897) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 3227896 + ... + 3278728.

Almost surely, 2165375608896 is an apocalyptic number.

165375608896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

165375608896 is the 406664-th square number.

It is an amenable number.

165375608896 is a deficient number, since it is larger than the sum of its proper divisors (162798070925).

165375608896 is an frugal number, since it uses more digits than its factorization.

165375608896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101678 (or 50835 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 64.

Multiplying 165375608896 by its sum of digits (64), we get a square (10584038969344 = 32533122).

165375608896 divided by its sum of digits (64) gives a square (2583993889 = 508332).

The spelling of 165375608896 in words is "one hundred sixty-five billion, three hundred seventy-five million, six hundred eight thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 16 32 64 50833 101666 203332 406664 813328 1626656 3253312 2583993889 5167987778 10335975556 20671951112 41343902224 82687804448 165375608896