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12403676140 = 2251968347791
BaseRepresentation
bin10111000110101000…
…10001001111101100
31012000102201000220121
423203110101033230
5200400320114030
65410445454324
7616242336052
oct134324211754
935012630817
1012403676140
115295608519
1224a1b713a4
13122899244b
1485949c1d2
154c8e0d47a
hex2e35113ec

12403676140 has 48 divisors (see below), whose sum is σ = 27459371520. Its totient is φ = 4693360320.

The previous prime is 12403676111. The next prime is 12403676147. The reversal of 12403676140 is 4167630421.

12403676140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12403676096 and 12403676105.

It is not an unprimeable number, because it can be changed into a prime (12403676147) 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 15 ways as a sum of consecutive naturals, for example, 235645 + ... + 283435.

It is an arithmetic number, because the mean of its divisors is an integer number (572070240).

Almost surely, 212403676140 is an apocalyptic number.

12403676140 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 12403676140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13729685760).

12403676140 is an abundant number, since it is smaller than the sum of its proper divisors (15055695380).

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

12403676140 is a wasteful number, since it uses less digits than its factorization.

12403676140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48502 (or 48500 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The spelling of 12403676140 in words is "twelve billion, four hundred three million, six hundred seventy-six thousand, one hundred forty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 380 683 1366 2732 3415 6830 12977 13660 25954 47791 51908 64885 95582 129770 191164 238955 259540 477910 908029 955820 1816058 3632116 4540145 9080290 18160580 32641253 65282506 130565012 163206265 326412530 620183807 652825060 1240367614 2480735228 3100919035 6201838070 12403676140