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68431967760 = 24351379277637
BaseRepresentation
bin111111101110110111…
…001111011000010000
320112122010211011000110
4333232313033120100
52110122040432020
651234234321320
74641544062042
oct775667173020
9215563734013
1068431967760
1127027075262
1211319889240
1365b7625420
143452683a92
151ba7b288e0
hexfeedcf610

68431967760 has 160 divisors (see below), whose sum is σ = 231350192640. Its totient is φ = 16631506944.

The previous prime is 68431967753. The next prime is 68431967767. The reversal of 68431967760 is 6776913486.

It is an interprime number because it is at equal distance from previous prime (68431967753) and next prime (68431967767).

It is a self number, because there is not a number n which added to its sum of digits gives 68431967760.

It is not an unprimeable number, because it can be changed into a prime (68431967767) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 107662 + ... + 385298.

It is an arithmetic number, because the mean of its divisors is an integer number (1445938704).

Almost surely, 268431967760 is an apocalyptic number.

68431967760 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 68431967760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115675096320).

68431967760 is an abundant number, since it is smaller than the sum of its proper divisors (162918224880).

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

68431967760 is a wasteful number, since it uses less digits than its factorization.

68431967760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277745 (or 277739 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 57.

The spelling of 68431967760 in words is "sixty-eight billion, four hundred thirty-one million, nine hundred sixty-seven thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 79 80 104 120 130 156 158 195 208 237 240 260 312 316 390 395 474 520 624 632 780 790 948 1027 1040 1185 1264 1560 1580 1896 2054 2370 3081 3120 3160 3792 4108 4740 5135 6162 6320 8216 9480 10270 12324 15405 16432 18960 20540 24648 30810 41080 49296 61620 82160 123240 246480 277637 555274 832911 1110548 1388185 1665822 2221096 2776370 3331644 3609281 4164555 4442192 5552740 6663288 7218562 8329110 10827843 11105480 13326576 14437124 16658220 18046405 21655686 21933323 22210960 28874248 33316440 36092810 43311372 43866646 54139215 57748496 65799969 66632880 72185620 86622744 87733292 108278430 109666615 131599938 144371240 173245488 175466584 216556860 219333230 263199876 285133199 288742480 328999845 350933168 433113720 438666460 526399752 570266398 657999690 855399597 866227440 877332920 1052799504 1140532796 1315999380 1425665995 1710799194 1754665840 2281065592 2631998760 2851331990 3421598388 4276997985 4562131184 5263997520 5702663980 6843196776 8553995970 11405327960 13686393552 17107991940 22810655920 34215983880 68431967760