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68758436345040 = 24335134735151713
BaseRepresentation
bin11111010001001000100100…
…01011000111010011010000
3100000110020112122120012222000
433220210102023013103100
533003014234201020130
6402123104541314000
720324430102502251
oct1750442213072320
9300406478505860
1068758436345040
111a9aa31a873972
127865a19265900
132c49b7b41aa30
1412d9cd721ab28
157e3870e03260
hex3e89122c74d0

68758436345040 has 320 divisors, whose sum is σ = 255062979924480. Its totient is φ = 16924468838400.

The previous prime is 68758436345017. The next prime is 68758436345041. The reversal of 68758436345040 is 4054363485786.

It is a happy number.

68758436345040 is a `hidden beast` number, since 6 + 8 + 7 + 5 + 84 + 3 + 63 + 450 + 40 = 666.

It is a super-2 number, since 2×687584363450402 (a number of 28 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68758436345041) 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, 1329590224 + ... + 1329641936.

It is an arithmetic number, because the mean of its divisors is an integer number (797071812264).

Almost surely, 268758436345040 is an apocalyptic number.

68758436345040 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 68758436345040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127531489962240).

68758436345040 is an abundant number, since it is smaller than the sum of its proper divisors (186304543579440).

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

68758436345040 is a wasteful number, since it uses less digits than its factorization.

68758436345040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99099 (or 99087 counting only the distinct ones).

The product of its (nonzero) digits is 232243200, while the sum is 63.

The spelling of 68758436345040 in words is "sixty-eight trillion, seven hundred fifty-eight billion, four hundred thirty-six million, three hundred forty-five thousand, forty".