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68665530672 = 24322836832467
BaseRepresentation
bin111111111100110010…
…001101100100110000
320120020102022101002200
4333330302031210300
52111111333440142
651313340343200
74650411244344
oct777462154460
9216212271080
1068665530672
11271369a1562
1211383b44b00
136623b3132b
1434756c1624
151bbd3b264c
hexffcc8d930

68665530672 has 120 divisors (see below), whose sum is σ = 193207794624. Its totient is φ = 22765007232.

The previous prime is 68665530653. The next prime is 68665530679. The reversal of 68665530672 is 27603556686.

It is a happy number.

68665530672 is a `hidden beast` number, since 6 + 86 + 6 + 553 + 0 + 6 + 7 + 2 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (68665530679) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27832383 + ... + 27834849.

Almost surely, 268665530672 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 68665530672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96603897312).

68665530672 is an abundant number, since it is smaller than the sum of its proper divisors (124542263952).

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

68665530672 is a wasteful number, since it uses less digits than its factorization.

68665530672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3447 (or 3438 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 68665530672 in words is "sixty-eight billion, six hundred sixty-five million, five hundred thirty thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 283 566 683 849 1132 1366 1698 2049 2264 2467 2547 2732 3396 4098 4528 4934 5094 5464 6147 6792 7401 8196 9868 10188 10928 12294 13584 14802 16392 19736 20376 22203 24588 29604 32784 39472 40752 44406 49176 59208 88812 98352 118416 177624 193289 355248 386578 579867 698161 773156 1159734 1396322 1546312 1684961 1739601 2094483 2319468 2792644 3092624 3369922 3479202 4188966 4638936 5054883 5585288 6283449 6739844 6958404 8377932 9277872 10109766 11170576 12566898 13479688 13916808 15164649 16755864 20219532 25133796 26959376 27833616 30329298 33511728 40439064 50267592 60658596 80878128 100535184 121317192 242634384 476843963 953687926 1430531889 1907375852 2861063778 3814751704 4291595667 5722127556 7629503408 8583191334 11444255112 17166382668 22888510224 34332765336 68665530672