Search a number
-
+
18142962672 = 24323163710039
BaseRepresentation
bin10000111001011001…
…111010001111110000
31201211102011222221110
4100321121322033300
5244124044301142
612200150353320
71211412431622
oct207131721760
951742158843
1018142962672
11777025842a
12362405b840
131931a37293
14c41802c12
15712be799c
hex43967a3f0

18142962672 has 80 divisors (see below), whose sum is σ = 48941867520. Its totient is φ = 5780603136.

The previous prime is 18142962659. The next prime is 18142962679. The reversal of 18142962672 is 27626924181.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18142962679) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1802229 + ... + 1812267.

It is an arithmetic number, because the mean of its divisors is an integer number (611773344).

Almost surely, 218142962672 is an apocalyptic number.

18142962672 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 18142962672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24470933760).

18142962672 is an abundant number, since it is smaller than the sum of its proper divisors (30798904848).

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

18142962672 is a wasteful number, since it uses less digits than its factorization.

18142962672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11710 (or 11704 counting only the distinct ones).

The product of its digits is 580608, while the sum is 48.

The spelling of 18142962672 in words is "eighteen billion, one hundred forty-two million, nine hundred sixty-two thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 276 368 552 1104 1637 3274 4911 6548 9822 10039 13096 19644 20078 26192 30117 37651 39288 40156 60234 75302 78576 80312 112953 120468 150604 160624 225906 230897 240936 301208 451812 461794 481872 602416 692691 903624 923588 1385382 1807248 1847176 2770764 3694352 5541528 11083056 16433843 32867686 49301529 65735372 98603058 131470744 197206116 262941488 377978389 394412232 755956778 788824464 1133935167 1511913556 2267870334 3023827112 4535740668 6047654224 9071481336 18142962672