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68032480680 = 23325461409933
BaseRepresentation
bin111111010111000011…
…010100010110101000
320111121022010002202200
4333113003110112220
52103312303340210
651130444100200
74625623354503
oct772703242650
9214538102680
1068032480680
112694161a74a
1211227b34660
136552933438
1434155b413a
151b82a170c0
hexfd70d45a8

68032480680 has 96 divisors (see below), whose sum is σ = 221585724360. Its totient is φ = 18102597120.

The previous prime is 68032480667. The next prime is 68032480699. The reversal of 68032480680 is 8608423086.

It is a happy number.

68032480680 is a `hidden beast` number, since 6 + 80 + 32 + 480 + 68 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 25225698276 + 42806782404 = 158826^2 + 206898^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 39007 + ... + 370926.

Almost surely, 268032480680 is an apocalyptic number.

68032480680 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 68032480680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110792862180).

68032480680 is an abundant number, since it is smaller than the sum of its proper divisors (153553243680).

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

68032480680 is a wasteful number, since it uses less digits than its factorization.

68032480680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410411 (or 410404 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 68032480680 in words is "sixty-eight billion, thirty-two million, four hundred eighty thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 461 922 1383 1844 2305 2766 3688 4149 4610 5532 6915 8298 9220 11064 13830 16596 18440 20745 27660 33192 41490 55320 82980 165960 409933 819866 1229799 1639732 2049665 2459598 3279464 3689397 4099330 4919196 6148995 7378794 8198660 9838392 12297990 14757588 16397320 18446985 24595980 29515176 36893970 49191960 73787940 147575880 188979113 377958226 566937339 755916452 944895565 1133874678 1511832904 1700812017 1889791130 2267749356 2834686695 3401624034 3779582260 4535498712 5669373390 6803248068 7559164520 8504060085 11338746780 13606496136 17008120170 22677493560 34016240340 68032480680