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68412764160 = 2123351331307
BaseRepresentation
bin111111101101101101…
…111111000000000000
320112120210200111122000
4333231231333000000
52110102131423120
651232310544000
74641221620626
oct775555770000
9215523614560
1068412764160
1127017249314
1211313368000
1365b3660650
14344dcc5516
151ba60d3990
hexfedb7f000

68412764160 has 832 divisors, whose sum is σ = 271254466560. Its totient is φ = 16243752960.

The previous prime is 68412764093. The next prime is 68412764177. The reversal of 68412764160 is 6146721486.

68412764160 is a `hidden beast` number, since 6 + 8 + 412 + 76 + 4 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (832).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a zygodrome in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 222842727 + ... + 222843033.

Almost surely, 268412764160 is an apocalyptic number.

68412764160 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 68412764160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135627233280).

68412764160 is an abundant number, since it is smaller than the sum of its proper divisors (202841702400).

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

68412764160 is a wasteful number, since it uses less digits than its factorization.

68412764160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 68412764160 in words is "sixty-eight billion, four hundred twelve million, seven hundred sixty-four thousand, one hundred sixty".