Search a number
-
+
10042717245 = 3511471294999
BaseRepresentation
bin10010101101001011…
…11011010000111101
3221220220010220011120
421112211323100331
5131031413422440
64340310141153
7503603455011
oct112645732075
927826126146
1010042717245
114293941120
121b433517b9
13c407c5a52
146b3ac2541
153db9e9dd0
hex25697b43d

10042717245 has 32 divisors (see below), whose sum is σ = 17902080000. Its totient is φ = 4765592640.

The previous prime is 10042717231. The next prime is 10042717247. The reversal of 10042717245 is 54271724001.

It is not a de Polignac number, because 10042717245 - 24 = 10042717229 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10042717247) 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 31 ways as a sum of consecutive naturals, for example, 639745 + ... + 655254.

It is an arithmetic number, because the mean of its divisors is an integer number (559440000).

Almost surely, 210042717245 is an apocalyptic number.

10042717245 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10042717245 is a deficient number, since it is larger than the sum of its proper divisors (7859362755).

10042717245 is a wasteful number, since it uses less digits than its factorization.

10042717245 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1295065.

The product of its (nonzero) digits is 15680, while the sum is 33.

The spelling of 10042717245 in words is "ten billion, forty-two million, seven hundred seventeen thousand, two hundred forty-five".

Divisors: 1 3 5 11 15 33 47 55 141 165 235 517 705 1551 2585 7755 1294999 3884997 6474995 14244989 19424985 42734967 60864953 71224945 182594859 213674835 304324765 669514483 912974295 2008543449 3347572415 10042717245