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12213631152 = 2432173490271
BaseRepresentation
bin10110101111111110…
…10011100010110000
31011112012002202012100
423113333103202300
5200003142144102
65335540300400
7611444103042
oct132777234260
934465082170
1012213631152
1151a8304948
12244a3a1700
1311c84b23a8
1483c14ba92
154b73bda1c
hex2d7fd38b0

12213631152 has 60 divisors (see below), whose sum is σ = 34378853184. Its totient is φ = 4047669120.

The previous prime is 12213631151. The next prime is 12213631207. The reversal of 12213631152 is 25113631221.

12213631152 is a `hidden beast` number, since 1 + 2 + 2 + 13 + 631 + 15 + 2 = 666.

It is a super-3 number, since 3×122136311523 (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (12213631151) 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, 220224 + ... + 270047.

Almost surely, 212213631152 is an apocalyptic number.

12213631152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12213631152 is an abundant number, since it is smaller than the sum of its proper divisors (22165222032).

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

12213631152 is a wasteful number, since it uses less digits than its factorization.

12213631152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490458 (or 490449 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The spelling of 12213631152 in words is "twelve billion, two hundred thirteen million, six hundred thirty-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 173 346 519 692 1038 1384 1557 2076 2768 3114 4152 6228 8304 12456 24912 490271 980542 1470813 1961084 2941626 3922168 4412439 5883252 7844336 8824878 11766504 17649756 23533008 35299512 70599024 84816883 169633766 254450649 339267532 508901298 678535064 763351947 1017802596 1357070128 1526703894 2035605192 3053407788 4071210384 6106815576 12213631152