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68037660069120 = 283257223291571151
BaseRepresentation
bin11110111100001010000001…
…00011110100110100000000
322220220100002111211122121100
433132011000203310310000
532404212111434202440
6400412023004254400
720221362433314600
oct1736050043646400
9286810074748540
1068037660069120
111a751678409705
12776a1a2841400
132bc6c0180b801
1412b307c8bcc00
157cec37d92230
hex3de1408f4d00

68037660069120 has 2592 divisors, whose sum is σ = 297736734597120. Its totient is φ = 14258493849600.

The previous prime is 68037660069107. The next prime is 68037660069121. The reversal of 68037660069120 is 2196006673086.

68037660069120 is a `hidden beast` number, since 6 + 8 + 0 + 3 + 7 + 6 + 600 + 6 + 9 + 1 + 20 = 666.

It is a super-2 number, since 2×680376600691202 (a number of 28 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68037660069121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 59111780545 + ... + 59111781695.

It is an arithmetic number, because the mean of its divisors is an integer number (114867567360).

Almost surely, 268037660069120 is an apocalyptic number.

68037660069120 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 68037660069120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148868367298560).

68037660069120 is an abundant number, since it is smaller than the sum of its proper divisors (229699074528000).

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

68037660069120 is a wasteful number, since it uses less digits than its factorization.

68037660069120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1401 (or 1377 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 68037660069120 in words is "sixty-eight trillion, thirty-seven billion, six hundred sixty million, sixty-nine thousand, one hundred twenty".