Search a number
-
+
12574191240 = 23325138332371
BaseRepresentation
bin10111011010111101…
…01110111010001000
31012110022120002122200
423231132232322020
5201222443104430
65435420320200
7623412601452
oct135536567210
935408502580
1012574191240
115372891a96
12252b0a3060
1312550c5060
14873da72d2
154d8d91460
hex2ed7aee88

12574191240 has 192 divisors, whose sum is σ = 44541282240. Its totient is φ = 3057799680.

The previous prime is 12574191239. The next prime is 12574191247. The reversal of 12574191240 is 4219147521.

It is a super-2 number, since 2×125741912402 (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 12574191195 and 12574191204.

It is not an unprimeable number, because it can be changed into a prime (12574191247) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 372255 + ... + 404625.

It is an arithmetic number, because the mean of its divisors is an integer number (231985845).

Almost surely, 212574191240 is an apocalyptic number.

12574191240 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 12574191240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22270641120).

12574191240 is an abundant number, since it is smaller than the sum of its proper divisors (31967091000).

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

12574191240 is a wasteful number, since it uses less digits than its factorization.

12574191240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32484 (or 32477 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 12574191240 in words is "twelve billion, five hundred seventy-four million, one hundred ninety-one thousand, two hundred forty".