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68936385199680 = 26335311074315581
BaseRepresentation
bin11111010110010100000001…
…10000000111111001000000
3100001002020212012201122202000
433223022000300013321000
533013423204102342210
6402340534351024000
720343326614012605
oct1753120060077100
9301066765648660
1068936385199680
111aa68836306199
1278943bbb0b000
132c6089a11b3ab
1413047788466ac
157e82d84e4ac0
hex3eb280c07e40

68936385199680 has 896 divisors, whose sum is σ = 254016703365120. Its totient is φ = 17579731968000.

The previous prime is 68936385199651. The next prime is 68936385199687. The reversal of 68936385199680 is 8699158363986.

68936385199680 is a `hidden beast` number, since 6 + 8 + 9 + 3 + 6 + 3 + 8 + 519 + 96 + 8 + 0 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 68936385199680.

It is not an unprimeable number, because it can be changed into a prime (68936385199687) 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 127 ways as a sum of consecutive naturals, for example, 12351974490 + ... + 12351980070.

Almost surely, 268936385199680 is an apocalyptic number.

68936385199680 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 68936385199680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127008351682560).

68936385199680 is an abundant number, since it is smaller than the sum of its proper divisors (185080318165440).

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

68936385199680 is a wasteful number, since it uses less digits than its factorization.

68936385199680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6176 (or 6160 counting only the distinct ones).

The product of its (nonzero) digits is 3627970560, while the sum is 81.

The spelling of 68936385199680 in words is "sixty-eight trillion, nine hundred thirty-six billion, three hundred eighty-five million, one hundred ninety-nine thousand, six hundred eighty".