Search a number
-
+
12003776316 = 22337731991093
BaseRepresentation
bin10110010110111101…
…10001011100111100
31010222120020000111000
423023132301130330
5144040431320231
65303042330300
7603315262260
oct131336613474
933876200430
1012003776316
1150aa9008a4
1223b0059990
131193b8762c
1481c3220a0
154a3c696e6
hex2cb7b173c

12003776316 has 192 divisors, whose sum is σ = 36268288000. Its totient is φ = 3362591232.

The previous prime is 12003776311. The next prime is 12003776341. The reversal of 12003776316 is 61367730021.

12003776316 is a `hidden beast` number, since 12 + 0 + 0 + 3 + 7 + 7 + 631 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12003776311) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10981866 + ... + 10982958.

Almost surely, 212003776316 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12003776316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18134144000).

12003776316 is an abundant number, since it is smaller than the sum of its proper divisors (24264511684).

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

12003776316 is a wasteful number, since it uses less digits than its factorization.

12003776316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1385 (or 1377 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The spelling of 12003776316 in words is "twelve billion, three million, seven hundred seventy-six thousand, three hundred sixteen".