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68950223874 = 232721724119081
BaseRepresentation
bin100000000110111000…
…0001110110000000010
320120222021000021202100
41000031300032300002
52112202224130444
651401510331230
74660436142600
oct1001560166002
9216867007670
1068950223874
11272726707a4
1211443359b16
13666aaccc4c
1434a142c870
151bd839ae69
hex100dc0ec02

68950223874 has 144 divisors (see below), whose sum is σ = 184778409816. Its totient is φ = 18463334400.

The previous prime is 68950223851. The next prime is 68950223899. The reversal of 68950223874 is 47832205986.

68950223874 is a `hidden beast` number, since 68 + 9 + 502 + 2 + 3 + 8 + 74 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 63155208249 + 5795015625 = 251307^2 + 76125^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 68950223874.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3604014 + ... + 3623094.

Almost surely, 268950223874 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68950223874, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92389204908).

68950223874 is an abundant number, since it is smaller than the sum of its proper divisors (115828185942).

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

68950223874 is a wasteful number, since it uses less digits than its factorization.

68950223874 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19361 (or 19351 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 68950223874 in words is "sixty-eight billion, nine hundred fifty million, two hundred twenty-three thousand, eight hundred seventy-four".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 42 49 51 63 98 102 119 126 147 153 238 241 294 306 357 441 482 714 723 833 882 1071 1446 1666 1687 2142 2169 2499 3374 4097 4338 4998 5061 7497 8194 10122 11809 12291 14994 15183 19081 23618 24582 28679 30366 35427 36873 38162 57243 57358 70854 73746 86037 106281 114486 133567 171729 172074 200753 212562 258111 267134 324377 343458 400701 401506 516222 602259 648754 801402 934969 973131 1202103 1204518 1806777 1869938 1946262 2270639 2404206 2804907 2919393 3613554 4541278 4598521 5609814 5838786 6811917 8414721 9197042 13623834 13795563 15894473 16829442 20435751 27591126 31788946 32189647 40871502 41386689 47683419 64379294 78174857 82773378 95366838 96568941 143050257 156349714 193137882 225327529 234524571 286100514 289706823 450655058 469049142 547223999 579413646 675982587 703573713 1094447998 1351965174 1407147426 1641671997 2027947761 3283343994 3830567993 4055895522 4925015991 7661135986 9850031982 11491703979 22983407958 34475111937 68950223874