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668960957364 = 223721283886741
BaseRepresentation
bin10011011110000010010…
…11100010001110110100
32100221201001001122211020
421233001023202032310
541430013001113424
61231152202541140
766221322213600
oct11570113421664
92327631048736
10668960957364
11238783025547
12a97958077b0
134b10ca47b1b
1424540ca8500
1512604139079
hex9bc12e23b4

668960957364 has 72 divisors (see below), whose sum is σ = 1817168457888. Its totient is φ = 190982514240.

The previous prime is 668960957359. The next prime is 668960957369. The reversal of 668960957364 is 463759069866.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (668960957359) and next prime (668960957369).

It is a Smith number, since the sum of its digits (69) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (668960957369) 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, 311034 + ... + 1197774.

It is an arithmetic number, because the mean of its divisors is an integer number (25238450804).

Almost surely, 2668960957364 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 668960957364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (908584228944).

668960957364 is an abundant number, since it is smaller than the sum of its proper divisors (1148207500524).

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

668960957364 is a wasteful number, since it uses less digits than its factorization.

668960957364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 888045 (or 888036 counting only the distinct ones).

The product of its (nonzero) digits is 352719360, while the sum is 69.

The spelling of 668960957364 in words is "six hundred sixty-eight billion, nine hundred sixty million, nine hundred fifty-seven thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 588 1283 2566 3849 5132 7698 8981 15396 17962 26943 35924 53886 62867 107772 125734 188601 251468 377202 754404 886741 1773482 2660223 3546964 5320446 6207187 10640892 12414374 18621561 24828748 37243122 43450309 74486244 86900618 130350927 173801236 260701854 521403708 1137688703 2275377406 3413066109 4550754812 6826132218 7963820921 13652264436 15927641842 23891462763 31855283684 47782925526 55746746447 95565851052 111493492894 167240239341 222986985788 334480478682 668960957364