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68111758915200 = 273352711132397353
BaseRepresentation
bin11110111110010100000010…
…01100011111011010000000
322221011102100120220001021000
433133022001030133122000
532411420340240241300
6400510035435532000
720226624611156040
oct1737120114373200
9287142316801230
1068111758915200
111a780042268480
1277806222ba000
132c00bb01a6070
1412b68aba19720
157d1b23250c00
hex3df28131f680

68111758915200 has 6144 divisors, whose sum is σ = 353835753062400. Its totient is φ = 12332512051200.

The previous prime is 68111758915117. The next prime is 68111758915301. The reversal of 68111758915200 is 251985711186.

68111758915200 is a `hidden beast` number, since 6 + 8 + 1 + 1 + 1 + 7 + 589 + 1 + 52 + 0 + 0 = 666.

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 767 ways as a sum of consecutive naturals, for example, 192951158224 + ... + 192951158576.

It is an arithmetic number, because the mean of its divisors is an integer number (57590454600).

Almost surely, 268111758915200 is an apocalyptic number.

68111758915200 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 68111758915200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176917876531200).

68111758915200 is an abundant number, since it is smaller than the sum of its proper divisors (285723994147200).

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

68111758915200 is a wasteful number, since it uses less digits than its factorization.

68111758915200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 54.

The spelling of 68111758915200 in words is "sixty-eight trillion, one hundred eleven billion, seven hundred fifty-eight million, nine hundred fifteen thousand, two hundred".