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12610666840 = 2354159312967
BaseRepresentation
bin10111011111010011…
…11000000101011000
31012112212012020202211
423233221320011120
5201311312314330
65443202204504
7624334620352
oct135751700530
935485166684
1012610666840
115391435712
12253b353734
13125c826655
14878b800d2
154dc198d2a
hex2efa78158

12610666840 has 64 divisors (see below), whose sum is σ = 29117309760. Its totient is φ = 4912558080.

The previous prime is 12610666829. The next prime is 12610666843. The reversal of 12610666840 is 4866601621.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 12610666793 and 12610666802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12610666843) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 966037 + ... + 979003.

It is an arithmetic number, because the mean of its divisors is an integer number (454957965).

Almost surely, 212610666840 is an apocalyptic number.

12610666840 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 12610666840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14558654880).

12610666840 is an abundant number, since it is smaller than the sum of its proper divisors (16506642920).

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

12610666840 is a wasteful number, since it uses less digits than its factorization.

12610666840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13612 (or 13608 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

The spelling of 12610666840 in words is "twelve billion, six hundred ten million, six hundred sixty-six thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 20 40 41 82 164 205 328 410 593 820 1186 1640 2372 2965 4744 5930 11860 12967 23720 24313 25934 48626 51868 64835 97252 103736 121565 129670 194504 243130 259340 486260 518680 531647 972520 1063294 2126588 2658235 4253176 5316470 7689431 10632940 15378862 21265880 30757724 38447155 61515448 76894310 153788620 307577240 315266671 630533342 1261066684 1576333355 2522133368 3152666710 6305333420 12610666840