Search a number
-
+
11246788890 = 2325432906147
BaseRepresentation
bin10100111100101110…
…00110000100011010
31002000210211001221200
422132113012010122
5141013134221030
65100001415030
7545464061661
oct123627060432
932023731850
1011246788890
114851578a57
12221a63a476
1310a30b458c
14789991dd8
1545c58bd60
hex29e5c611a

11246788890 has 48 divisors (see below), whose sum is σ = 29921699808. Its totient is φ = 2929395168.

The previous prime is 11246788853. The next prime is 11246788897. The reversal of 11246788890 is 9888764211.

11246788890 is a `hidden beast` number, since 1 + 12 + 467 + 8 + 88 + 90 = 666.

It is not an unprimeable number, because it can be changed into a prime (11246788897) 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, 1449204 + ... + 1456943.

It is an arithmetic number, because the mean of its divisors is an integer number (623368746).

Almost surely, 211246788890 is an apocalyptic number.

11246788890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11246788890 is an abundant number, since it is smaller than the sum of its proper divisors (18674910918).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11246788890 is a wasteful number, since it uses less digits than its factorization.

11246788890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2906203 (or 2906200 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The spelling of 11246788890 in words is "eleven billion, two hundred forty-six million, seven hundred eighty-eight thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 43 45 86 90 129 215 258 387 430 645 774 1290 1935 3870 2906147 5812294 8718441 14530735 17436882 26155323 29061470 43592205 52310646 87184410 124964321 130776615 249928642 261553230 374892963 624821605 749785926 1124678889 1249643210 1874464815 2249357778 3748929630 5623394445 11246788890