Search a number
-
+
12471106032 = 243572112541
BaseRepresentation
bin10111001110101010…
…11111100111110000
31012012010120211100000
423213111133213300
5201020100343112
65421255030000
7621021436500
oct134725374760
935163524300
1012471106032
11531a683600
12250066b300
1312399411a8
14864411a00
154ceccc7dc
hex2e755f9f0

12471106032 has 540 divisors, whose sum is σ = 46364850168. Its totient is φ = 3233260800.

The previous prime is 12471105967. The next prime is 12471106103. The reversal of 12471106032 is 23060117421.

12471106032 is a `hidden beast` number, since 1 + 2 + 47 + 1 + 10 + 603 + 2 = 666.

It is a super-2 number, since 2×124711060322 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 12471105987 and 12471106005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 23051682 + ... + 23052222.

Almost surely, 212471106032 is an apocalyptic number.

12471106032 is a gapful number since it is divisible by the number (12) 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 12471106032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23182425084).

12471106032 is an abundant number, since it is smaller than the sum of its proper divisors (33893744136).

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

12471106032 is a wasteful number, since it uses less digits than its factorization.

12471106032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 12471106032 in words is "twelve billion, four hundred seventy-one million, one hundred six thousand, thirty-two".