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8232106632 = 2337310743913
BaseRepresentation
bin1111010101010101…
…11111101010001000
3210020201011100100020
413222222333222020
5113324404403012
63440510340440
7410666515611
oct75252775210
923221140306
108232106632
11354489a612
121718aba720
13a1265c219
14581446c08
15332a97a8c
hex1eaabfa88

8232106632 has 64 divisors (see below), whose sum is σ = 21057641280. Its totient is φ = 2681091072.

The previous prime is 8232106627. The next prime is 8232106657. The reversal of 8232106632 is 2366012328.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 8232106593 and 8232106602.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 165508 + ... + 209420.

It is an arithmetic number, because the mean of its divisors is an integer number (329025645).

Almost surely, 28232106632 is an apocalyptic number.

It is an amenable number.

8232106632 is an abundant number, since it is smaller than the sum of its proper divisors (12825534648).

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

8232106632 is a wasteful number, since it uses less digits than its factorization.

8232106632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44102 (or 44098 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 8232106632 is about 90730.9574070504. The cubic root of 8232106632 is about 2019.1581166442.

The spelling of 8232106632 in words is "eight billion, two hundred thirty-two million, one hundred six thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 73 107 146 214 219 292 321 428 438 584 642 856 876 1284 1752 2568 7811 15622 23433 31244 43913 46866 62488 87826 93732 131739 175652 187464 263478 351304 526956 1053912 3205649 4698691 6411298 9397382 9616947 12822596 14096073 18794764 19233894 25645192 28192146 37589528 38467788 56384292 76935576 112768584 343004443 686008886 1029013329 1372017772 2058026658 2744035544 4116053316 8232106632