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68423733720 = 23335157403537
BaseRepresentation
bin111111101110010111…
…110101000111011000
320112121120022211001000
4333232113311013120
52110112433434340
651233342025000
74641414066066
oct775627650730
9215546284030
1068423733720
1127022460971
1211316b78160
1365b5a01604
14345153d036
151ba704dd30
hexfee5f51d8

68423733720 has 128 divisors (see below), whose sum is σ = 229532414400. Its totient is φ = 18130065408.

The previous prime is 68423733709. The next prime is 68423733731. The reversal of 68423733720 is 2733732486.

68423733720 is a `hidden beast` number, since 6 + 84 + 237 + 337 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (68423733709) and next prime (68423733731).

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 31 ways as a sum of consecutive naturals, for example, 32209 + ... + 371328.

Almost surely, 268423733720 is an apocalyptic number.

68423733720 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 68423733720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114766207200).

68423733720 is an abundant number, since it is smaller than the sum of its proper divisors (161108680680).

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

68423733720 is a wasteful number, since it uses less digits than its factorization.

68423733720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403714 (or 403704 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 45.

The spelling of 68423733720 in words is "sixty-eight billion, four hundred twenty-three million, seven hundred thirty-three thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 157 180 216 270 314 360 471 540 628 785 942 1080 1256 1413 1570 1884 2355 2826 3140 3768 4239 4710 5652 6280 7065 8478 9420 11304 14130 16956 18840 21195 28260 33912 42390 56520 84780 169560 403537 807074 1210611 1614148 2017685 2421222 3228296 3631833 4035370 4842444 6053055 7263666 8070740 9684888 10895499 12106110 14527332 16141480 18159165 21790998 24212220 29054664 36318330 43581996 48424440 54477495 63355309 72636660 87163992 108954990 126710618 145273320 190065927 217909980 253421236 316776545 380131854 435819960 506842472 570197781 633553090 760263708 950329635 1140395562 1267106180 1520527416 1710593343 1900659270 2280791124 2534212360 2850988905 3421186686 3801318540 4561582248 5701977810 6842373372 7602637080 8552966715 11403955620 13684746744 17105933430 22807911240 34211866860 68423733720