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68805403725240 = 23335731317840451
BaseRepresentation
bin11111010010100000000011…
…01001011100110110111000
3100000121201202212222100022000
433221100001221130312320
533004301431323201430
6402200433251301000
720331012021603000
oct1751200151346670
9300551685870260
1068805403725240
111aa18231716866
127872b465aa760
132c51424ac4970
1412dc2b0c93000
157e4bbe40de60
hex3e9401a5cdb8

68805403725240 has 1024 divisors, whose sum is σ = 304983221760000. Its totient is φ = 13663215820800.

The previous prime is 68805403725229. The next prime is 68805403725241. The reversal of 68805403725240 is 4252730450886.

68805403725240 is a `hidden beast` number, since 6 + 8 + 8 + 0 + 5 + 40 + 3 + 72 + 524 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68805403725241) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 81447015 + ... + 82287465.

It is an arithmetic number, because the mean of its divisors is an integer number (297835177500).

Almost surely, 268805403725240 is an apocalyptic number.

68805403725240 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 68805403725240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152491610880000).

68805403725240 is an abundant number, since it is smaller than the sum of its proper divisors (236177818034760).

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

68805403725240 is a wasteful number, since it uses less digits than its factorization.

68805403725240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 840522 (or 840498 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 54.

The spelling of 68805403725240 in words is "sixty-eight trillion, eight hundred five billion, four hundred three million, seven hundred twenty-five thousand, two hundred forty".