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10664721660 = 22351958715937
BaseRepresentation
bin10011110111010101…
…01011110011111100
31000112020112222211010
421323222223303330
5133320132043120
64522125555220
7525165431655
oct117352536374
930466488733
1010664721660
114582a5925a
122097715b10
13100c6271b8
1473255652c
154264127e0
hex27baabcfc

10664721660 has 96 divisors (see below), whose sum is σ = 31488387840. Its totient is φ = 2689486848.

The previous prime is 10664721643. The next prime is 10664721737. The reversal of 10664721660 is 6612746601.

It is a super-2 number, since 2×106647216602 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 661212 + ... + 677148.

It is an arithmetic number, because the mean of its divisors is an integer number (328004040).

Almost surely, 210664721660 is an apocalyptic number.

10664721660 is a gapful number since it is divisible by the number (10) 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 10664721660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15744193920).

10664721660 is an abundant number, since it is smaller than the sum of its proper divisors (20823666180).

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

10664721660 is a wasteful number, since it uses less digits than its factorization.

10664721660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16555 (or 16553 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The spelling of 10664721660 in words is "ten billion, six hundred sixty-four million, seven hundred twenty-one thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 570 587 1140 1174 1761 2348 2935 3522 5870 7044 8805 11153 11740 15937 17610 22306 31874 33459 35220 44612 47811 55765 63748 66918 79685 95622 111530 133836 159370 167295 191244 223060 239055 302803 318740 334590 478110 605606 669180 908409 956220 1211212 1514015 1816818 3028030 3633636 4542045 6056060 9084090 9355019 18168180 18710038 28065057 37420076 46775095 56130114 93550190 112260228 140325285 177745361 187100380 280650570 355490722 533236083 561301140 710981444 888726805 1066472166 1777453610 2132944332 2666180415 3554907220 5332360830 10664721660