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106959000537 = 3211884333393
BaseRepresentation
bin110001110011101000…
…0001101001111011001
3101020002011020012100100
41203213100031033121
53223023001004122
6121045234330013
710504354334544
oct1434720151731
9336064205310
10106959000537
11413a7627214
1218890429909
13a11748bc3c
14526938785b
152bb0155aac
hex18e740d3d9

106959000537 has 6 divisors (see below), whose sum is σ = 154496334122. Its totient is φ = 71306000352.

The previous prime is 106959000529. The next prime is 106959000557. The reversal of 106959000537 is 735000959601.

106959000537 is a `hidden beast` number, since 1 + 0 + 6 + 9 + 590 + 0 + 0 + 53 + 7 = 666.

It can be written as a sum of positive squares in only one way, i.e., 90463194441 + 16495806096 = 300771^2 + 128436^2 .

It is not a de Polignac number, because 106959000537 - 23 = 106959000529 is a prime.

It is a super-2 number, since 2×1069590005372 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 106959000492 and 106959000501.

It is not an unprimeable number, because it can be changed into a prime (106959000557) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 5942166688 + ... + 5942166705.

Almost surely, 2106959000537 is an apocalyptic number.

It is an amenable number.

106959000537 is a deficient number, since it is larger than the sum of its proper divisors (47537333585).

106959000537 is a wasteful number, since it uses less digits than its factorization.

106959000537 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11884333399 (or 11884333396 counting only the distinct ones).

The product of its (nonzero) digits is 255150, while the sum is 45.

The spelling of 106959000537 in words is "one hundred six billion, nine hundred fifty-nine million, five hundred thirty-seven", and thus it is an aban number.

Divisors: 1 3 9 11884333393 35653000179 106959000537