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10160656660 = 22572113892423
BaseRepresentation
bin10010111011001111…
…10101000100010100
3222020010001211122001
421131213311010110
5131302112003120
64400122045044
7506535104500
oct113547650424
928203054561
1010160656660
114344475810
121b76949784
13c5c07aa9b
146c5623300
153e7044e0a
hex25d9f5114

10160656660 has 144 divisors (see below), whose sum is σ = 27158302080. Its totient is φ = 3157512960.

The previous prime is 10160656651. The next prime is 10160656687. The reversal of 10160656660 is 6665606101.

10160656660 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4192209 + ... + 4194631.

It is an arithmetic number, because the mean of its divisors is an integer number (188599320).

Almost surely, 210160656660 is an apocalyptic number.

10160656660 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 10160656660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13579151040).

10160656660 is an abundant number, since it is smaller than the sum of its proper divisors (16997645420).

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

10160656660 is a wasteful number, since it uses less digits than its factorization.

10160656660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2846 (or 2837 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 37.

The spelling of 10160656660 in words is "ten billion, one hundred sixty million, six hundred fifty-six thousand, six hundred sixty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 49 55 70 77 98 110 140 154 196 220 245 308 385 389 490 539 770 778 980 1078 1540 1556 1945 2156 2423 2695 2723 3890 4279 4846 5390 5446 7780 8558 9692 10780 10892 12115 13615 16961 17116 19061 21395 24230 26653 27230 29953 33922 38122 42790 48460 53306 54460 59906 67844 76244 84805 85580 95305 106612 118727 119812 133265 149765 169610 186571 190610 209671 237454 266530 299530 339220 373142 381220 419342 474908 533060 593635 599060 746284 838684 932855 942547 1048355 1187270 1305997 1865710 1885094 2096710 2374540 2611994 3731420 3770188 4193420 4712735 5223988 6529985 6597829 9425470 10368017 13059970 13195658 18850940 20736034 26119940 26391316 32989145 41472068 46184803 51840085 65978290 72576119 92369606 103680170 131956580 145152238 184739212 207360340 230924015 290304476 362880595 461848030 508032833 725761190 923696060 1016065666 1451522380 2032131332 2540164165 5080328330 10160656660