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68901674688 = 2632711337347
BaseRepresentation
bin100000000101011011…
…1000001111011000000
320120211212122201210100
41000022313001323000
52112102312042223
651353014002400
74656306400020
oct1001267017300
9216755581710
1068901674688
1127248221000
121142b046400
136660a32012
143498bd1a80
151bd3eab043
hex100adc1ec0

68901674688 has 672 divisors, whose sum is σ = 255706034688. Its totient is φ = 17362667520.

The previous prime is 68901674687. The next prime is 68901674731. The reversal of 68901674688 is 88647610986.

68901674688 is a `hidden beast` number, since 6 + 8 + 9 + 0 + 167 + 468 + 8 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (68901674687) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 198563731 + ... + 198564077.

Almost surely, 268901674688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68901674688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127853017344).

68901674688 is an abundant number, since it is smaller than the sum of its proper divisors (186804360000).

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

68901674688 is a wasteful number, since it uses less digits than its factorization.

68901674688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The spelling of 68901674688 in words is "sixty-eight billion, nine hundred one million, six hundred seventy-four thousand, six hundred eighty-eight".