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106572128637 = 3133773854559
BaseRepresentation
bin110001101000000110…
…0011010000101111101
3101012002012021001212110
41203100030122011331
53221224431104022
6120543014324233
710461646101252
oct1432014320575
9335065231773
10106572128637
1141219208677
12187a2959679
13a085295c60
14522dc3d429
152b8b1d700c
hex18d031a17d

106572128637 has 16 divisors (see below), whose sum is σ = 157162503680. Its totient is φ = 63810338112.

The previous prime is 106572128633. The next prime is 106572128669. The reversal of 106572128637 is 736821275601.

It is not a de Polignac number, because 106572128637 - 22 = 106572128633 is a prime.

It is a super-2 number, since 2×1065721286372 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106572128633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36925837 + ... + 36928722.

It is an arithmetic number, because the mean of its divisors is an integer number (9822656480).

Almost surely, 2106572128637 is an apocalyptic number.

It is an amenable number.

106572128637 is a deficient number, since it is larger than the sum of its proper divisors (50590375043).

106572128637 is a wasteful number, since it uses less digits than its factorization.

106572128637 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73854612.

The product of its (nonzero) digits is 846720, while the sum is 48.

The spelling of 106572128637 in words is "one hundred six billion, five hundred seventy-two million, one hundred twenty-eight thousand, six hundred thirty-seven".

Divisors: 1 3 13 37 39 111 481 1443 73854559 221563677 960109267 2732618683 2880327801 8197856049 35524042879 106572128637