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68307698468160 = 2634519385136017
BaseRepresentation
bin11111000100000001000000…
…00110100100010101000000
322221212011002221201122120000
433202000200012210111000
532423123131301440120
6401140042400320000
720250032305661034
oct1742004006442500
9287764087648500
1068307698468160
111a846150009718
1277b25a6013000
132c165081cb248
1412c21787301c4
157d6c8eeae990
hex3e20201a4540

68307698468160 has 560 divisors, whose sum is σ = 255844573237440. Its totient is φ = 17251721625600.

The previous prime is 68307698468137. The next prime is 68307698468209. The reversal of 68307698468160 is 6186489670386.

68307698468160 is a `hidden beast` number, since 6 + 8 + 3 + 0 + 76 + 98 + 468 + 1 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1896522472 + ... + 1896558488.

Almost surely, 268307698468160 is an apocalyptic number.

68307698468160 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 68307698468160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127922286618720).

68307698468160 is an abundant number, since it is smaller than the sum of its proper divisors (187536874769280).

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

68307698468160 is a wasteful number, since it uses less digits than its factorization.

68307698468160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39916 (or 39897 counting only the distinct ones).

The product of its (nonzero) digits is 501645312, while the sum is 72.

The spelling of 68307698468160 in words is "sixty-eight trillion, three hundred seven billion, six hundred ninety-eight million, four hundred sixty-eight thousand, one hundred sixty".