Search a number
-
+
10193147741 = 71072193659
BaseRepresentation
bin10010111111000111…
…10001011101011101
3222022101012120000102
421133203301131131
5131333421211431
64403242310445
7510411216620
oct113743613535
928271176012
1010193147741
114360847847
121b857b8425
13c65a1588a
146c9a7ddb7
153e9d11dcb
hex25f8f175d

10193147741 has 24 divisors (see below), whose sum is σ = 11838066240. Its totient is φ = 8597417472.

The previous prime is 10193147693. The next prime is 10193147761. The reversal of 10193147741 is 14774139101.

It is a de Polignac number, because none of the positive numbers 2k-10193147741 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10193147695 and 10193147704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10193147761) 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, 15467270 + ... + 15467928.

It is an arithmetic number, because the mean of its divisors is an integer number (493252760).

Almost surely, 210193147741 is an apocalyptic number.

It is an amenable number.

10193147741 is a deficient number, since it is larger than the sum of its proper divisors (1644918499).

10193147741 is an equidigital number, since it uses as much as digits as its factorization.

10193147741 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1073 (or 966 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 38.

The spelling of 10193147741 in words is "ten billion, one hundred ninety-three million, one hundred forty-seven thousand, seven hundred forty-one".

Divisors: 1 7 107 193 659 749 1351 4613 11449 20651 70513 80143 127187 144557 493591 890309 2209657 7544891 13609009 15467599 52814237 95263063 1456163963 10193147741