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68922023040 = 2733513973163
BaseRepresentation
bin100000000110000010…
…0101001110010000000
320120220021221112111000
41000030010221302000
52112123014214130
651355022052000
74656644346453
oct1001404516200
9216807845430
1068922023040
112725875a022
1211435a1a000
136665007b70
14349b7ab49a
151bd5b7a260
hex100c129c80

68922023040 has 512 divisors, whose sum is σ = 265669689600. Its totient is φ = 16785211392.

The previous prime is 68922023039. The next prime is 68922023047. The reversal of 68922023040 is 4032022986.

68922023040 is a `hidden beast` number, since 68 + 92 + 202 + 304 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 68922022986 and 68922023004.

It is not an unprimeable number, because it can be changed into a prime (68922023047) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21788499 + ... + 21791661.

Almost surely, 268922023040 is an apocalyptic number.

68922023040 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 68922023040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132834844800).

68922023040 is an abundant number, since it is smaller than the sum of its proper divisors (196747666560).

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

68922023040 is a wasteful number, since it uses less digits than its factorization.

68922023040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3301 (or 3283 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 68922023040 in words is "sixty-eight billion, nine hundred twenty-two million, twenty-three thousand, forty".