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12629823900 = 2235242099413
BaseRepresentation
bin10111100001100101…
…11101000110011100
31012121012020112022120
423300302331012130
5201331213331100
65445124542540
7624656506011
oct136062750634
935535215276
1012629823900
1153a122a6a1
122545851a50
1312637a31a5
1487b529708
154ddbd00a0
hex2f0cbd19c

12629823900 has 36 divisors (see below), whose sum is σ = 36542291352. Its totient is φ = 3367952960.

The previous prime is 12629823881. The next prime is 12629823907. The reversal of 12629823900 is 932892621.

It is a super-2 number, since 2×126298239002 (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12629823907) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21049407 + ... + 21050006.

Almost surely, 212629823900 is an apocalyptic number.

12629823900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12629823900 is an abundant number, since it is smaller than the sum of its proper divisors (23912467452).

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

12629823900 is a wasteful number, since it uses less digits than its factorization.

12629823900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42099430 (or 42099423 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The spelling of 12629823900 in words is "twelve billion, six hundred twenty-nine million, eight hundred twenty-three thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 42099413 84198826 126298239 168397652 210497065 252596478 420994130 505192956 631491195 841988260 1052485325 1262982390 2104970650 2525964780 3157455975 4209941300 6314911950 12629823900