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68340085032 = 23331213921317
BaseRepresentation
bin111111101001011000…
…101111000100101000
320112101201221000121110
4333221120233010220
52104430030210112
651221153110320
74636350065262
oct775130570450
9215351830543
1068340085032
1126a8a21841a
12112b2b583a0
1365a159454b
1434443a6b32
151b9ea2913c
hexfe962f128

68340085032 has 96 divisors (see below), whose sum is σ = 177817701600. Its totient is φ = 21885563520.

The previous prime is 68340085027. The next prime is 68340085069. The reversal of 68340085032 is 23058004386.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3195238 + ... + 3216554.

It is an arithmetic number, because the mean of its divisors is an integer number (1852267725).

Almost surely, 268340085032 is an apocalyptic number.

68340085032 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 68340085032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88908850800).

68340085032 is an abundant number, since it is smaller than the sum of its proper divisors (109477616568).

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

68340085032 is a wasteful number, since it uses less digits than its factorization.

68340085032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21527 (or 21492 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The spelling of 68340085032 in words is "sixty-eight billion, three hundred forty million, eighty-five thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 139 186 248 278 372 417 556 744 834 961 1112 1668 1922 2883 3336 3844 4309 5766 7688 8618 11532 12927 17236 21317 23064 25854 34472 42634 51708 63951 85268 103416 127902 133579 170536 255804 267158 400737 511608 534316 660827 801474 1068632 1321654 1602948 1982481 2643308 2963063 3205896 3964962 5286616 5926126 7929924 8889189 11852252 15859848 17778378 20485637 23704504 35556756 40971274 61456911 71113512 81942548 91854953 122913822 163885096 183709906 245827644 275564859 367419812 491655288 551129718 734839624 1102259436 2204518872 2847503543 5695007086 8542510629 11390014172 17085021258 22780028344 34170042516 68340085032