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10960421628 = 223131731133319
BaseRepresentation
bin10100011010100101…
…01100001011111100
31001021211222002220210
422031102230023330
5134421331443003
65011331512420
7535416022002
oct121522541374
931254862823
1010960421628
114714965aa2
12215a758710
13105897a9b0
1475d92aa72
15442372503
hex28d4ac2fc

10960421628 has 96 divisors (see below), whose sum is σ = 30102589440. Its totient is φ = 3071646720.

The previous prime is 10960421627. The next prime is 10960421639. The reversal of 10960421628 is 82612406901.

10960421628 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10960421621) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 15553 + ... + 148871.

It is an arithmetic number, because the mean of its divisors is an integer number (313568640).

Almost surely, 210960421628 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 10960421628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15051294720).

10960421628 is an abundant number, since it is smaller than the sum of its proper divisors (19142167812).

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

10960421628 is a wasteful number, since it uses less digits than its factorization.

10960421628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133387 (or 133385 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The spelling of 10960421628 in words is "ten billion, nine hundred sixty million, four hundred twenty-one thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 12 13 17 26 31 34 39 51 52 62 68 78 93 102 124 156 186 204 221 372 403 442 527 663 806 884 1054 1209 1326 1581 1612 2108 2418 2652 3162 4836 6324 6851 13702 20553 27404 41106 82212 133319 266638 399957 533276 799914 1599828 1733147 2266423 3466294 4132889 4532846 5199441 6799269 6932588 8265778 9065692 10398882 12398667 13598538 16531556 20797764 24797334 27197076 29463499 49594668 53727557 58926998 70259113 88390497 107455114 117853996 140518226 161182671 176780994 210777339 214910228 281036452 322365342 353561988 421554678 644730684 843109356 913368469 1826736938 2740105407 3653473876 5480210814 10960421628