Search a number
-
+
107630504757 = 3337107738243
BaseRepresentation
bin110010000111101000…
…1110010101100110101
3101021210221210010222000
41210033101302230311
53230411402123012
6121240023125513
710530120124026
oct1441721625465
9337727703860
10107630504757
1141711683286
1218a392a3899
13a1c3631c09
1452d0624c4d
152bee099ddc
hex190f472b35

107630504757 has 16 divisors (see below), whose sum is σ = 163762130880. Its totient is φ = 69814380816.

The previous prime is 107630504743. The next prime is 107630504803. The reversal of 107630504757 is 757405036701.

107630504757 is a `hidden beast` number, since 1 + 0 + 7 + 630 + 5 + 0 + 4 + 7 + 5 + 7 = 666.

It is not a de Polignac number, because 107630504757 - 26 = 107630504693 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107630504717) 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 15 ways as a sum of consecutive naturals, for example, 53868123 + ... + 53870120.

It is an arithmetic number, because the mean of its divisors is an integer number (10235133180).

Almost surely, 2107630504757 is an apocalyptic number.

It is an amenable number.

107630504757 is a deficient number, since it is larger than the sum of its proper divisors (56131626123).

107630504757 is a wasteful number, since it uses less digits than its factorization.

107630504757 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107738289 (or 107738283 counting only the distinct ones).

The product of its (nonzero) digits is 617400, while the sum is 45.

The spelling of 107630504757 in words is "one hundred seven billion, six hundred thirty million, five hundred four thousand, seven hundred fifty-seven".

Divisors: 1 3 9 27 37 111 333 999 107738243 323214729 969644187 2908932561 3986314991 11958944973 35876834919 107630504757