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12653000400 = 2435210544167
BaseRepresentation
bin10111100100010110…
…10111011011010000
31012122210212000111110
423302023113123100
5201403132003100
65451313413320
7625360504665
oct136213273320
935583760443
1012653000400
11540331a527
12255156a240
1312685293b1
1488063da6c
154e0c5c250
hex2f22d76d0

12653000400 has 60 divisors (see below), whose sum is σ = 40531781792. Its totient is φ = 3374133120.

The previous prime is 12653000377. The next prime is 12653000441. The reversal of 12653000400 is 400035621.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5270884 + ... + 5273283.

Almost surely, 212653000400 is an apocalyptic number.

12653000400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12653000400 is an abundant number, since it is smaller than the sum of its proper divisors (27878781392).

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

12653000400 is a wasteful number, since it uses less digits than its factorization.

12653000400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10544188 (or 10544177 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The spelling of 12653000400 in words is "twelve billion, six hundred fifty-three million, four hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 10544167 21088334 31632501 42176668 52720835 63265002 84353336 105441670 126530004 158162505 168706672 210883340 253060008 263604175 316325010 421766680 506120016 527208350 632650020 790812525 843533360 1054416700 1265300040 1581625050 2108833400 2530600080 3163250100 4217666800 6326500200 12653000400