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68810741661312 = 273672412711613
BaseRepresentation
bin11111010010101001111111…
…10100000011111010000000
3100000122020112220020121000000
433221110333310003322000
533004343344331130222
6402203115054000000
720331261216400560
oct1751247764037200
9300566486217000
1068810741661312
111aa1a520859182
127873b961a6000
132c51a95974611
1412dc659ba0da0
157e4dd2d699ac
hex3e953fd03e80

68810741661312 has 896 divisors, whose sum is σ = 236885310097920. Its totient is φ = 19494295142400.

The previous prime is 68810741661239. The next prime is 68810741661329. The reversal of 68810741661312 is 21316614701886.

68810741661312 is a `hidden beast` number, since 6 + 8 + 8 + 1 + 0 + 7 + 4 + 1 + 6 + 613 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

It is a super-2 number, since 2×688107416613122 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 42660099418 + ... + 42660101030.

Almost surely, 268810741661312 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 68810741661312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118442655048960).

68810741661312 is an abundant number, since it is smaller than the sum of its proper divisors (168074568436608).

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

68810741661312 is a wasteful number, since it uses less digits than its factorization.

68810741661312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2164 (or 2137 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 68810741661312 in words is "sixty-eight trillion, eight hundred ten billion, seven hundred forty-one million, six hundred sixty-one thousand, three hundred twelve".