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68195675520 = 273657219157
BaseRepresentation
bin111111100000110001…
…110110110110000000
320112000200012021000000
4333200301312312000
52104131043104040
651154554000000
74632644451300
oct774061666600
9215020167000
1068195675520
1126a15754415
1211272716000
13657a6a212b
14342d135600
151b92001130
hexfe0c76d80

68195675520 has 1344 divisors, whose sum is σ = 301212874800. Its totient is φ = 14673125376.

The previous prime is 68195675479. The next prime is 68195675543. The reversal of 68195675520 is 2557659186.

68195675520 is a `hidden beast` number, since 6 + 8 + 1 + 9 + 567 + 55 + 20 = 666.

68195675520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 434367282 + ... + 434367438.

Almost surely, 268195675520 is an apocalyptic number.

68195675520 is a gapful number since it is divisible by the number (60) 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 68195675520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150606437400).

68195675520 is an abundant number, since it is smaller than the sum of its proper divisors (233017199280).

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

68195675520 is a wasteful number, since it uses less digits than its factorization.

68195675520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 4536000, while the sum is 54.

The spelling of 68195675520 in words is "sixty-eight billion, one hundred ninety-five million, six hundred seventy-five thousand, five hundred twenty".