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68733213120 = 26335111355631
BaseRepresentation
bin100000000000011010…
…0011001100111000000
320120102010122222222000
41000000310121213000
52111231200304440
651324155144000
74652162446305
oct1000064314700
9216363588860
1068733213120
112717111a370
12113a2745000
136634b6b010
14348069d0ac
151bc42d1730
hex1000d199c0

68733213120 has 448 divisors, whose sum is σ = 284871444480. Its totient is φ = 15380582400.

The previous prime is 68733213119. The next prime is 68733213121. The reversal of 68733213120 is 2131233786.

68733213120 is a `hidden beast` number, since 6 + 8 + 7 + 332 + 1 + 312 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (68733213119) and next prime (68733213121).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68733213121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1207705 + ... + 1263335.

It is an arithmetic number, because the mean of its divisors is an integer number (635873760).

Almost surely, 268733213120 is an apocalyptic number.

68733213120 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 68733213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142435722240).

68733213120 is an abundant number, since it is smaller than the sum of its proper divisors (216138231360).

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

68733213120 is a wasteful number, since it uses less digits than its factorization.

68733213120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55681 (or 55665 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 68733213120 in words is "sixty-eight billion, seven hundred thirty-three million, two hundred thirteen thousand, one hundred twenty".