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68671211761152 = 2936731131331
BaseRepresentation
bin11111001110100110000110…
…01011101110111000000000
3100000010220101211010021000000
433213103003023232320000
533000102120202324102
6402015041424000000
720315221433664000
oct1747230313567000
9300126354107000
1068671211761152
111a97632a86a000
127850b35a60000
132c4188a5c9010
1412d59c0b84000
157e146855701c
hex3e74c32eee00

68671211761152 has 4480 divisors, whose sum is σ = 293342424883200. Its totient is φ = 15933509222400.

The previous prime is 68671211761147. The next prime is 68671211761177. The reversal of 68671211761152 is 25116711217686.

68671211761152 is a `hidden beast` number, since 6 + 8 + 6 + 7 + 1 + 2 + 1 + 17 + 611 + 5 + 2 = 666.

68671211761152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 2215200379377 + ... + 2215200379407.

It is an arithmetic number, because the mean of its divisors is an integer number (65478219840).

Almost surely, 268671211761152 is an apocalyptic number.

68671211761152 is a gapful number since it is divisible by the number (62) 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 68671211761152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146671212441600).

68671211761152 is an abundant number, since it is smaller than the sum of its proper divisors (224671213122048).

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

68671211761152 is an frugal number, since it uses more digits than its factorization.

68671211761152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 67 counting only the distinct ones).

The product of its digits is 1693440, while the sum is 54.

The spelling of 68671211761152 in words is "sixty-eight trillion, six hundred seventy-one billion, two hundred eleven million, seven hundred sixty-one thousand, one hundred fifty-two".