Search a number
-
+
106737275063 = 1759971975569
BaseRepresentation
bin110001101101000001…
…0011001000010110111
3101012111201000101011202
41203122002121002313
53222044220300223
6121011234123115
710466022603566
oct1433202310267
9335451011152
10106737275063
11412a3455621
121882a12049b
13a0b0569033
145247b4bbdd
152b9a959428
hex18da0990b7

106737275063 has 32 divisors (see below), whose sum is σ = 116726702400. Its totient is φ = 97224228864.

The previous prime is 106737275053. The next prime is 106737275083. The reversal of 106737275063 is 360572737601.

It is a cyclic number.

It is not a de Polignac number, because 106737275063 - 222 = 106733080759 is a prime.

It is a super-2 number, since 2×1067372750632 (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 = 106737274999 and 106737275017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106737275033) 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 31 ways as a sum of consecutive naturals, for example, 19163543 + ... + 19169111.

It is an arithmetic number, because the mean of its divisors is an integer number (3647709450).

Almost surely, 2106737275063 is an apocalyptic number.

106737275063 is a deficient number, since it is larger than the sum of its proper divisors (9989427337).

106737275063 is a wasteful number, since it uses less digits than its factorization.

106737275063 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5939.

The product of its (nonzero) digits is 1111320, while the sum is 47.

The spelling of 106737275063 in words is "one hundred six billion, seven hundred thirty-seven million, two hundred seventy-five thousand, sixty-three".

Divisors: 1 17 59 97 197 1003 1649 3349 5569 5723 11623 19109 94673 97291 197591 324853 328571 540193 1097093 1127431 5585707 9183281 18650581 19166327 31871387 64728487 106418021 541813579 1100384279 1809106357 6278663239 106737275063