Search a number
-
+
15812674144 = 254389129121
BaseRepresentation
bin11101011101000001…
…00100001001100000
31111211000100002000221
432232200210021200
5224341021033034
611133024252424
71066565340541
oct165640441140
944730302027
1015812674144
11678492a143
123093771114
131650018a27
14aa012c4c8
15628341bb4
hex3ae824260

15812674144 has 48 divisors (see below), whose sum is σ = 32213356560. Its totient is φ = 7635640320.

The previous prime is 15812674093. The next prime is 15812674147. The reversal of 15812674144 is 44147621851.

It is a super-2 number, since 2×158126741442 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a self number, because there is not a number n which added to its sum of digits gives 15812674144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15812674147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57904 + ... + 187024.

It is an arithmetic number, because the mean of its divisors is an integer number (671111595).

Almost surely, 215812674144 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 15812674144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16106678280).

15812674144 is an abundant number, since it is smaller than the sum of its proper divisors (16400682416).

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

15812674144 is a wasteful number, since it uses less digits than its factorization.

15812674144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129263 (or 129255 counting only the distinct ones).

The product of its digits is 215040, while the sum is 43.

The spelling of 15812674144 in words is "fifteen billion, eight hundred twelve million, six hundred seventy-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 43 86 89 172 178 344 356 688 712 1376 1424 2848 3827 7654 15308 30616 61232 122464 129121 258242 516484 1032968 2065936 4131872 5552203 11104406 11491769 22208812 22983538 44417624 45967076 88835248 91934152 177670496 183868304 367736608 494146067 988292134 1976584268 3953168536 7906337072 15812674144