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11842897660 = 22511409131617
BaseRepresentation
bin10110000011110010…
…00100011011111100
31010120100111112110021
423001321010123330
5143223240211120
65235054221524
7566322653266
oct130171043374
933510445407
1011842897660
115028009330
1223661b48a4
131169749c69
14804c04b36
15494a8baaa
hex2c1e446fc

11842897660 has 48 divisors (see below), whose sum is σ = 27197543520. Its totient is φ = 4295946240.

The previous prime is 11842897637. The next prime is 11842897673. The reversal of 11842897660 is 6679824811.

11842897660 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 11842897598 and 11842897607.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24172 + ... + 155788.

It is an arithmetic number, because the mean of its divisors is an integer number (566615490).

Almost surely, 211842897660 is an apocalyptic number.

11842897660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11842897660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13598771760).

11842897660 is an abundant number, since it is smaller than the sum of its proper divisors (15354645860).

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

11842897660 is a wasteful number, since it uses less digits than its factorization.

11842897660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132046 (or 132044 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 52.

The spelling of 11842897660 in words is "eleven billion, eight hundred forty-two million, eight hundred ninety-seven thousand, six hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 409 818 1636 2045 4090 4499 8180 8998 17996 22495 44990 89980 131617 263234 526468 658085 1316170 1447787 2632340 2895574 5791148 7238935 14477870 28955740 53831353 107662706 215325412 269156765 538313530 592144883 1076627060 1184289766 2368579532 2960724415 5921448830 11842897660