Search a number
-
+
11996684700 = 223527211132439
BaseRepresentation
bin10110010110000111…
…01110000110011100
31010222001212201121120
423023003232012130
5144032122402300
65302230330540
7603201065100
oct131303560634
933861781546
1011996684700
1150a68a7860
1223a97b9a50
131192573800
1481b3d7900
154a33183a0
hex2cb0ee19c

11996684700 has 648 divisors, whose sum is σ = 47805690240. Its totient is φ = 2295820800.

The previous prime is 11996684671. The next prime is 11996684737. The reversal of 11996684700 is 748669911.

It is a happy number.

11996684700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 215 ways as a sum of consecutive naturals, for example, 27327081 + ... + 27327519.

Almost surely, 211996684700 is an apocalyptic number.

11996684700 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 11996684700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23902845120).

11996684700 is an abundant number, since it is smaller than the sum of its proper divisors (35809005540).

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

11996684700 is a wasteful number, since it uses less digits than its factorization.

11996684700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 51.

It can be divided in two parts, 11996 and 684700, that added together give a palindrome (696696).

The spelling of 11996684700 in words is "eleven billion, nine hundred ninety-six million, six hundred eighty-four thousand, seven hundred".