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12406684213 = 731129149761
BaseRepresentation
bin10111000110111111…
…01111101000110101
31012000122100212012201
423203133233220311
5200402102343323
65411034144501
7616310035000
oct134337575065
935018325181
1012406684213
115297282530
1224a2b82131
1312294a6681
14859a42537
154c93048ad
hex2e37efa35

12406684213 has 64 divisors (see below), whose sum is σ = 16459200000. Its totient is φ = 9259353600.

The previous prime is 12406684211. The next prime is 12406684237. The reversal of 12406684213 is 31248660421.

It is not a de Polignac number, because 12406684213 - 21 = 12406684211 is a prime.

It is a super-2 number, since 2×124066842132 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12406684211) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16302753 + ... + 16303513.

It is an arithmetic number, because the mean of its divisors is an integer number (257175000).

Almost surely, 212406684213 is an apocalyptic number.

It is an amenable number.

12406684213 is a deficient number, since it is larger than the sum of its proper divisors (4052515787).

12406684213 is a wasteful number, since it uses less digits than its factorization.

12406684213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 971 (or 957 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 37.

The spelling of 12406684213 in words is "twelve billion, four hundred six million, six hundred eighty-four thousand, two hundred thirteen".

Divisors: 1 7 11 29 49 77 149 203 319 343 539 761 1043 1421 1639 2233 3773 4321 5327 7301 8371 9947 11473 15631 22069 30247 37289 47531 51107 58597 80311 109417 113389 154483 211729 242759 261023 332717 410179 562177 793723 1081381 1247279 1482103 1699313 2329019 2871253 3288281 5556061 7569667 8730953 11895191 16303133 23017967 36171091 38892427 61116671 83266337 161125769 253197637 427816697 1127880383 1772383459 12406684213