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10606443340 = 22519412272999
BaseRepresentation
bin10011110000011000…
…10111101101001100
31000101011220010222211
421320030113231030
5133210222141330
64512244520204
7523560165223
oct117014275514
930334803884
1010606443340
114553073959
1220800b0064
131000530a9c
14728905cba
1542124ed2a
hex278317b4c

10606443340 has 96 divisors (see below), whose sum is σ = 24131520000. Its totient is φ = 3902676480.

The previous prime is 10606443317. The next prime is 10606443343. The reversal of 10606443340 is 4334460601.

It is a happy number.

10606443340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×106064433402 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10606443343) 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, 3535161 + ... + 3538159.

It is an arithmetic number, because the mean of its divisors is an integer number (251370000).

Almost surely, 210606443340 is an apocalyptic number.

10606443340 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 10606443340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12065760000).

10606443340 is an abundant number, since it is smaller than the sum of its proper divisors (13525076660).

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

10606443340 is a wasteful number, since it uses less digits than its factorization.

10606443340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3295 (or 3293 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 31.

The spelling of 10606443340 in words is "ten billion, six hundred six million, four hundred forty-three thousand, three hundred forty".

Divisors: 1 2 4 5 10 19 20 38 41 76 82 95 164 190 205 227 380 410 454 779 820 908 1135 1558 2270 2999 3116 3895 4313 4540 5998 7790 8626 9307 11996 14995 15580 17252 18614 21565 29990 37228 43130 46535 56981 59980 86260 93070 113962 122959 176833 186140 227924 245918 284905 353666 491836 569810 614795 680773 707332 884165 1139620 1229590 1361546 1768330 2336221 2459180 2723092 3403865 3536660 4672442 6807730 9344884 11681105 12934687 13615460 23362210 25869374 27911693 46724420 51738748 55823386 64673435 111646772 129346870 139558465 258693740 279116930 530322167 558233860 1060644334 2121288668 2651610835 5303221670 10606443340