Search a number
-
+
107527404751 = 1337960136313
BaseRepresentation
bin110010000100100100…
…0011111110011001111
3101021112202210010100021
41210021020133303033
53230204003423001
6121221501243011
710524425600644
oct1441110376317
9337482703307
10107527404751
1141669464768
1218a0a863467
13a1a81743b0
1452c0a67dcb
152be4ed1ba1
hex190921fccf

107527404751 has 16 divisors (see below), whose sum is σ = 116300668960. Its totient is φ = 98826739200.

The previous prime is 107527404739. The next prime is 107527404757. The reversal of 107527404751 is 157404725701.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-107527404751 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 107527404698 and 107527404707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107527404757) 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, 2942971 + ... + 2979283.

It is an arithmetic number, because the mean of its divisors is an integer number (7268791810).

Almost surely, 2107527404751 is an apocalyptic number.

107527404751 is a deficient number, since it is larger than the sum of its proper divisors (8773264209).

107527404751 is a wasteful number, since it uses less digits than its factorization.

107527404751 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37306.

The product of its (nonzero) digits is 274400, while the sum is 43.

The spelling of 107527404751 in words is "one hundred seven billion, five hundred twenty-seven million, four hundred four thousand, seven hundred fifty-one".

Divisors: 1 13 379 601 4927 7813 36313 227779 472069 2961127 13762627 21824113 178914151 283713469 8271338827 107527404751