Search a number
-
+
11996376000 = 26353721012
BaseRepresentation
bin10110010110000101…
…00010101111000000
31010222001022001011020
423023002202233000
5144032033013000
65302215545440
7603165341100
oct131302425700
933861261136
1011996376000
1150a6706934
1223a968b280
13119249614b
1481b357200
154a32a6ba0
hex2cb0a2bc0

11996376000 has 504 divisors, whose sum is σ = 46540052208. Its totient is φ = 2714880000.

The previous prime is 11996375983. The next prime is 11996376121. The reversal of 11996376000 is 67369911.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 118775950 + ... + 118776050.

Almost surely, 211996376000 is an apocalyptic number.

11996376000 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 11996376000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23270026104).

11996376000 is an abundant number, since it is smaller than the sum of its proper divisors (34543676208).

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

11996376000 is an equidigital number, since it uses as much as digits as its factorization.

11996376000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 61236, while the sum is 42.

The spelling of 11996376000 in words is "eleven billion, nine hundred ninety-six million, three hundred seventy-six thousand".