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68025744040 = 23531181303091
BaseRepresentation
bin111111010110101001…
…100111101010101000
320111120211102211211111
4333112221213222220
52103304042302130
651130043440104
74625512166242
oct772651475250
9214524384744
1068025744040
1126938839381
1211225826034
136551415067
14341473d092
151b8213602a
hexfd6a67aa8

68025744040 has 64 divisors (see below), whose sum is σ = 158868702720. Its totient is φ = 26186976000.

The previous prime is 68025744029. The next prime is 68025744043. The reversal of 68025744040 is 4044752086.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 68025743984 and 68025744002.

It is not an unprimeable number, because it can be changed into a prime (68025744043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72895 + ... + 375985.

It is an arithmetic number, because the mean of its divisors is an integer number (2482323480).

Almost surely, 268025744040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68025744040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79434351360).

68025744040 is an abundant number, since it is smaller than the sum of its proper divisors (90842958680).

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

68025744040 is a wasteful number, since it uses less digits than its factorization.

68025744040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303314 (or 303310 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 40.

The spelling of 68025744040 in words is "sixty-eight billion, twenty-five million, seven hundred forty-four thousand, forty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 181 248 310 362 620 724 905 1240 1448 1810 3620 5611 7240 11222 22444 28055 44888 56110 112220 224440 303091 606182 1212364 1515455 2424728 3030910 6061820 9395821 12123640 18791642 37583284 46979105 54859471 75166568 93958210 109718942 187916420 219437884 274297355 375832840 438875768 548594710 1097189420 1700643601 2194378840 3401287202 6802574404 8503218005 13605148808 17006436010 34012872020 68025744040