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68026695120 = 24325313047791
BaseRepresentation
bin111111010110101101…
…001111110111010000
320111120220020011110200
4333112231033313100
52103304313220440
651130120055200
74625523240126
oct772655176720
9214526204420
1068026695120
112693932899a
1211226004500
136551688c27
143414909916
151b82272c30
hexfd6b4fdd0

68026695120 has 120 divisors (see below), whose sum is σ = 235825953792. Its totient is φ = 17555270400.

The previous prime is 68026695091. The next prime is 68026695197. The reversal of 68026695120 is 2159662086.

It is a tau number, because it is divible by the number of its divisors (120).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1501576 + ... + 1546215.

Almost surely, 268026695120 is an apocalyptic number.

68026695120 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

68026695120 is an abundant number, since it is smaller than the sum of its proper divisors (167799258672).

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

68026695120 is a wasteful number, since it uses less digits than its factorization.

68026695120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3047841 (or 3047832 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 68026695120 in words is "sixty-eight billion, twenty-six million, six hundred ninety-five thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 31 36 40 45 48 60 62 72 80 90 93 120 124 144 155 180 186 240 248 279 310 360 372 465 496 558 620 720 744 930 1116 1240 1395 1488 1860 2232 2480 2790 3720 4464 5580 7440 11160 22320 3047791 6095582 9143373 12191164 15238955 18286746 24382328 27430119 30477910 36573492 45716865 48764656 54860238 60955820 73146984 91433730 94481521 109720476 121911640 137150595 146293968 182867460 188963042 219440952 243823280 274301190 283444563 365734920 377926084 438881904 472407605 548602380 566889126 731469840 755852168 850333689 944815210 1097204760 1133778252 1417222815 1511704336 1700667378 1889630420 2194409520 2267556504 2834445630 3401334756 3779260840 4251668445 4535113008 5668891260 6802669512 7558521680 8503336890 11337782520 13605339024 17006673780 22675565040 34013347560 68026695120