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68326608384 = 293217982837
BaseRepresentation
bin111111101000100101…
…010100111000000000
320112100210120100010100
4333220211110320000
52104413102432014
651215552202400
74636124405616
oct775045247000
9215323510110
1068326608384
1126a826531a1
12112aa539400
13659b8563b8
1434426996b6
151b9d766009
hexfe8954e00

68326608384 has 120 divisors (see below), whose sum is σ = 198299261160. Its totient is φ = 22648025088.

The previous prime is 68326608379. The next prime is 68326608397. The reversal of 68326608384 is 48380662386.

It is a happy number.

68326608384 is a `hidden beast` number, since 6 + 8 + 3 + 26 + 608 + 3 + 8 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 68326608384.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 783414 + ... + 866250.

It is an arithmetic number, because the mean of its divisors is an integer number (1652493843).

Almost surely, 268326608384 is an apocalyptic number.

68326608384 is a gapful number since it is divisible by the number (64) 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 68326608384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99149630580).

68326608384 is an abundant number, since it is smaller than the sum of its proper divisors (129972652776).

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

68326608384 is a wasteful number, since it uses less digits than its factorization.

68326608384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83040 (or 83021 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 68326608384 in words is "sixty-eight billion, three hundred twenty-six million, six hundred eight thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 179 192 256 288 358 384 512 537 576 716 768 1074 1152 1432 1536 1611 2148 2304 2864 3222 4296 4608 5728 6444 8592 11456 12888 17184 22912 25776 34368 45824 51552 68736 82837 91648 103104 137472 165674 206208 248511 274944 331348 412416 497022 662696 745533 824832 994044 1325392 1491066 1988088 2650784 2982132 3976176 5301568 5964264 7952352 10603136 11928528 14827823 15904704 21206272 23857056 29655646 31809408 42412544 44483469 47714112 59311292 63618816 88966938 95428224 118622584 127237632 133450407 177933876 190856448 237245168 266900814 355867752 381712896 474490336 533801628 711735504 948980672 1067603256 1423471008 1897961344 2135206512 2846942016 3795922688 4270413024 5693884032 7591845376 8540826048 11387768064 17081652096 22775536128 34163304192 68326608384