Search a number
-
+
12331143685476 = 223471115711632707
BaseRepresentation
bin1011001101110001000101…
…1100000110010101100100
31121122211211121100021110000
42303130101130012111210
53104013140240413401
642120503232301300
72411616143624610
oct263342134062544
947584747307400
1012331143685476
113a24677157a40
121471a370a1830
136b5a8b81b445
14308b8adda340
15165b6481d186
hexb3711706564

12331143685476 has 480 divisors, whose sum is σ = 40496115889152. Its totient is φ = 3178582767360.

The previous prime is 12331143685373. The next prime is 12331143685501. The reversal of 12331143685476 is 67458634113321.

12331143685476 is a `hidden beast` number, since 1 + 2 + 3 + 31 + 1 + 4 + 3 + 68 + 547 + 6 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4555278915 + ... + 4555281621.

Almost surely, 212331143685476 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 12331143685476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20248057944576).

12331143685476 is an abundant number, since it is smaller than the sum of its proper divisors (28164972203676).

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

12331143685476 is a wasteful number, since it uses less digits than its factorization.

12331143685476 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4061 (or 4050 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 54.

Adding to 12331143685476 its reverse (67458634113321), we get a palindrome (79789777798797).

The spelling of 12331143685476 in words is "twelve trillion, three hundred thirty-one billion, one hundred forty-three million, six hundred eighty-five thousand, four hundred seventy-six".