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68294770992 = 2432770995561
BaseRepresentation
bin111111100110101011…
…111000000100110000
320112021120122211102200
4333212223320010300
52104331430132432
651212453543200
74635256655340
oct774653700460
9215246584380
1068294770992
1126a666882a8
121129b944b00
136595089cc6
14343c36cd20
151b9aa77a7c
hexfe6af8130

68294770992 has 120 divisors (see below), whose sum is σ = 218745240480. Its totient is φ = 19485066240.

The previous prime is 68294770991. The next prime is 68294771003. The reversal of 68294770992 is 29907749286.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (68294770991) by changing a digit.

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, 666892 + ... + 762452.

It is an arithmetic number, because the mean of its divisors is an integer number (1822877004).

Almost surely, 268294770992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68294770992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109372620240).

68294770992 is an abundant number, since it is smaller than the sum of its proper divisors (150450469488).

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

68294770992 is a wasteful number, since it uses less digits than its factorization.

68294770992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96291 (or 96282 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 63.

The spelling of 68294770992 in words is "sixty-eight billion, two hundred ninety-four million, seven hundred seventy thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 709 1008 1418 2127 2836 4254 4963 5672 6381 8508 9926 11344 12762 14889 17016 19852 25524 29778 34032 39704 44667 51048 59556 79408 89334 95561 102096 119112 178668 191122 238224 286683 357336 382244 573366 668927 714672 764488 860049 1146732 1337854 1528976 1720098 2006781 2293464 2675708 3440196 4013562 4586928 5351416 6020343 6880392 8027124 10702832 12040686 13760784 16054248 24081372 32108496 48162744 67752749 96325488 135505498 203258247 271010996 406516494 474269243 542021992 609774741 813032988 948538486 1084043984 1219549482 1422807729 1626065976 1897076972 2439098964 2845615458 3252131952 3794153944 4268423187 4878197928 5691230916 7588307888 8536846374 9756395856 11382461832 17073692748 22764923664 34147385496 68294770992