Search a number
-
+
10005610993 = 75924226661
BaseRepresentation
bin10010101000110000…
…11000000111110001
3221211022022200221221
421110120120013301
5130442414022433
64332502545041
7502643201350
oct112430300761
927738280857
1010005610993
1142749a76a4
121b32a38181
13c35c033a1
146acbc3997
153d861a72d
hex2546181f1

10005610993 has 8 divisors (see below), whose sum is σ = 11628797760. Its totient is φ = 8430877680.

The previous prime is 10005610987. The next prime is 10005610997. The reversal of 10005610993 is 39901650001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10005610993 - 221 = 10003513841 is a prime.

It is a super-2 number, since 2×100056109932 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10005610997) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12112918 + ... + 12113743.

It is an arithmetic number, because the mean of its divisors is an integer number (1453599720).

Almost surely, 210005610993 is an apocalyptic number.

It is an amenable number.

10005610993 is a deficient number, since it is larger than the sum of its proper divisors (1623186767).

10005610993 is an equidigital number, since it uses as much as digits as its factorization.

10005610993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24226727.

The product of its (nonzero) digits is 7290, while the sum is 34.

The spelling of 10005610993 in words is "ten billion, five million, six hundred ten thousand, nine hundred ninety-three".

Divisors: 1 7 59 413 24226661 169586627 1429372999 10005610993