Search a number
-
+
107455556241 = 32111763847627
BaseRepresentation
bin110010000010011011…
…0011010101010010001
3101021100202120211201100
41210010312122222101
53230032110244431
6121210413255013
710522564105035
oct1440466325221
9337322524640
10107455556241
1141631950930
12189aa794469
13a196309397
1452b52c41c5
152bdda3d4e6
hex1904d9aa91

107455556241 has 24 divisors (see below), whose sum is σ = 179284139424. Its totient is φ = 61293720960.

The previous prime is 107455556239. The next prime is 107455556249. The reversal of 107455556241 is 142655554701.

107455556241 is a `hidden beast` number, since 1 + 0 + 7 + 4 + 55 + 556 + 2 + 41 = 666.

It is not a de Polignac number, because 107455556241 - 21 = 107455556239 is a prime.

It is not an unprimeable number, because it can be changed into a prime (107455556249) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31922131 + ... + 31925496.

It is an arithmetic number, because the mean of its divisors is an integer number (7470172476).

Almost surely, 2107455556241 is an apocalyptic number.

107455556241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

107455556241 is a deficient number, since it is larger than the sum of its proper divisors (71828583183).

107455556241 is a wasteful number, since it uses less digits than its factorization.

107455556241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63847661 (or 63847658 counting only the distinct ones).

The product of its (nonzero) digits is 840000, while the sum is 45.

The spelling of 107455556241 in words is "one hundred seven billion, four hundred fifty-five million, five hundred fifty-six thousand, two hundred forty-one".

Divisors: 1 3 9 11 17 33 51 99 153 187 561 1683 63847627 191542881 574628643 702323897 1085409659 2106971691 3256228977 6320915073 9768686931 11939506249 35818518747 107455556241