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68717030400 = 2103452311069
BaseRepresentation
bin111111111111110110…
…101010110000000000
320120101000012211110000
4333333312222300000
52111213024433100
651322420240000
74651605056334
oct777766526000
9216330184400
1068717030400
1127162a77017
1211399240000
1366316c3245
14347c4897c4
151bc2b86900
hexfffdaac00

68717030400 has 660 divisors, whose sum is σ = 262904889280. Its totient is φ = 17716838400.

The previous prime is 68717030383. The next prime is 68717030411. The reversal of 68717030400 is 403071786.

68717030400 is a `hidden beast` number, since 6 + 87 + 170 + 3 + 0 + 400 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 64281066 + ... + 64282134.

Almost surely, 268717030400 is an apocalyptic number.

68717030400 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 68717030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131452444640).

68717030400 is an abundant number, since it is smaller than the sum of its proper divisors (194187858880).

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

68717030400 is a wasteful number, since it uses less digits than its factorization.

68717030400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1142 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 68717030400 in words is "sixty-eight billion, seven hundred seventeen million, thirty thousand, four hundred".