Search a number
-
+
11969233920 = 210345721931
BaseRepresentation
bin10110010010110110…
…00000010000000000
31010220011020002020000
423021123000100000
5144003110441140
65255410120000
7602415544500
oct131133002000
933804202200
1011969233920
115092358666
1223a0580000
131189981c47
148178cda00
154a0be4a30
hex2c96c0400

11969233920 has 1320 divisors, whose sum is σ = 54213730560. Its totient is φ = 2508226560.

The previous prime is 11969233919. The next prime is 11969233931. The reversal of 11969233920 is 2933296911.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 386104305 + ... + 386104335.

It is an arithmetic number, because the mean of its divisors is an integer number (41071008).

Almost surely, 211969233920 is an apocalyptic number.

11969233920 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 11969233920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27106865280).

11969233920 is an abundant number, since it is smaller than the sum of its proper divisors (42244496640).

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

11969233920 is a wasteful number, since it uses less digits than its factorization.

11969233920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 157464, while the sum is 45.

The spelling of 11969233920 in words is "eleven billion, nine hundred sixty-nine million, two hundred thirty-three thousand, nine hundred twenty".