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12632105106 = 23213915533251
BaseRepresentation
bin10111100001110111…
…01010000010010010
31012121100112102112200
423300323222002102
5201332304330411
65445245504030
7625015056525
oct136073520222
935540472480
1012632105106
1153a2548595
122546572016
1312640c160a
1487b960bbc
154dded0e56
hex2f0eea092

12632105106 has 48 divisors (see below), whose sum is σ = 27592699680. Its totient is φ = 4176432000.

The previous prime is 12632105089. The next prime is 12632105113. The reversal of 12632105106 is 60150123621.

12632105106 is a `hidden beast` number, since 1 + 2 + 632 + 10 + 5 + 10 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 12632105106.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3883981 + ... + 3887231.

It is an arithmetic number, because the mean of its divisors is an integer number (574847910).

Almost surely, 212632105106 is an apocalyptic number.

12632105106 is an abundant number, since it is smaller than the sum of its proper divisors (14960594574).

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

12632105106 is a wasteful number, since it uses less digits than its factorization.

12632105106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4951 (or 4948 counting only the distinct ones).

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

Adding to 12632105106 its reverse (60150123621), we get a palindrome (72782228727).

The spelling of 12632105106 in words is "twelve billion, six hundred thirty-two million, one hundred five thousand, one hundred six".

Divisors: 1 2 3 6 9 18 139 278 417 834 1251 1553 2502 3106 3251 4659 6502 9318 9753 13977 19506 27954 29259 58518 215867 431734 451889 647601 903778 1295202 1355667 1942803 2711334 3885606 4067001 5048803 8134002 10097606 15146409 30292818 45439227 90878454 701783617 1403567234 2105350851 4210701702 6316052553 12632105106