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106947062955 = 32518517128347
BaseRepresentation
bin110001110011010001…
…0101010110010101011
3101020001022202201001200
41203212202222302223
53223011422003310
6121044130415243
710504151015235
oct1434642526253
9336038681050
10106947062955
11413a0913347
1218888431523
13a114b6c495
14526795b255
152bae0989c0
hex18e68aacab

106947062955 has 24 divisors (see below), whose sum is σ = 185386364592. Its totient is φ = 57034908864.

The previous prime is 106947062939. The next prime is 106947062983. The reversal of 106947062955 is 559260749601.

106947062955 is a `hidden beast` number, since 1 + 0 + 6 + 9 + 4 + 7 + 0 + 629 + 5 + 5 = 666.

It is not a de Polignac number, because 106947062955 - 24 = 106947062939 is a prime.

It is a super-2 number, since 2×1069470629552 (a number of 23 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 769092 + ... + 897438.

It is an arithmetic number, because the mean of its divisors is an integer number (7724431858).

Almost surely, 2106947062955 is an apocalyptic number.

106947062955 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106947062955 is a deficient number, since it is larger than the sum of its proper divisors (78439301637).

106947062955 is a wasteful number, since it uses less digits than its factorization.

106947062955 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146875 (or 146872 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 106947062955 in words is "one hundred six billion, nine hundred forty-seven million, sixty-two thousand, nine hundred fifty-five".

Divisors: 1 3 5 9 15 45 18517 55551 92585 128347 166653 277755 385041 641735 833265 1155123 1925205 5775615 2376601399 7129804197 11883006995 21389412591 35649020985 106947062955