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68398086132 = 223273115322573
BaseRepresentation
bin111111101100110101…
…111111011111110100
320112112210001210011100
4333230311333133310
52110034402224012
651231024210100
74640653065555
oct775465773764
9215483053140
1068398086132
1127009a33512
121130a469930
1365b05c171c
14344bd8432c
151ba4b848dc
hexfecd7f7f4

68398086132 has 72 divisors (see below), whose sum is σ = 175423366664. Its totient is φ = 22466543616.

The previous prime is 68398086101. The next prime is 68398086137. The reversal of 68398086132 is 23168089386.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 6235629156 + 62162456976 = 78966^2 + 249324^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68398086137) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3018798 + ... + 3041370.

Almost surely, 268398086132 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 68398086132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87711683332).

68398086132 is an abundant number, since it is smaller than the sum of its proper divisors (107025280532).

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

68398086132 is a wasteful number, since it uses less digits than its factorization.

68398086132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23809 (or 23804 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 68398086132 in words is "sixty-eight billion, three hundred ninety-eight million, eighty-six thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 73 146 219 292 438 657 876 1153 1314 2306 2628 3459 4612 6918 10377 13836 20754 22573 41508 45146 67719 84169 90292 135438 168338 203157 252507 270876 336676 406314 505014 757521 812628 1010028 1515042 1647829 3030084 3295658 4943487 6591316 9886974 14830461 19773948 26026669 29660922 52053338 59321844 78080007 104106676 156160014 234240021 312320028 468480042 936960084 1899946837 3799893674 5699840511 7599787348 11399681022 17099521533 22799362044 34199043066 68398086132