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116507007 = 3229446387
BaseRepresentation
bin1101111000111…
…00000101111111
322010020011120100
412330130011333
5214311211012
615321052143
72613202401
oct674340577
9263204510
10116507007
115a846491
1233027053
131b1a3076
141168ab71
15a3658dc
hex6f1c17f

116507007 has 12 divisors (see below), whose sum is σ = 174091320. Its totient is φ = 74992848.

The previous prime is 116506987. The next prime is 116507009. The reversal of 116507007 is 700705611.

116507007 is a `hidden beast` number, since 1 + 1 + 650 + 7 + 0 + 0 + 7 = 666.

It is not a de Polignac number, because 116507007 - 216 = 116441471 is a prime.

It is a super-3 number, since 3×1165070073 (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116507009) 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 11 ways as a sum of consecutive naturals, for example, 222933 + ... + 223454.

It is an arithmetic number, because the mean of its divisors is an integer number (14507610).

Almost surely, 2116507007 is an apocalyptic number.

116507007 is a deficient number, since it is larger than the sum of its proper divisors (57584313).

116507007 is a wasteful number, since it uses less digits than its factorization.

116507007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446422 (or 446419 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 27.

The square root of 116507007 is about 10793.8411605878. The cubic root of 116507007 is about 488.4094015258.

The spelling of 116507007 in words is "one hundred sixteen million, five hundred seven thousand, seven".

Divisors: 1 3 9 29 87 261 446387 1339161 4017483 12945223 38835669 116507007