Search a number
-
+
20132332024 = 2374368312241
BaseRepresentation
bin10010101111111110…
…110000000111111000
31220222001112102122211
4102233332300013320
5312212334111044
613125413424504
71311616666360
oct225776600770
956861472584
1020132332024
1185a11a4032
123a9a33b134
131b8ac2b9cc
14d8dad19a0
157cc6aa634
hex4affb01f8

20132332024 has 64 divisors (see below), whose sum is σ = 44212227840. Its totient is φ = 8414461440.

The previous prime is 20132331977. The next prime is 20132332057. The reversal of 20132332024 is 42023323102.

It is a junction number, because it is equal to n+sod(n) for n = 20132331986 and 20132332004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1638544 + ... + 1650784.

It is an arithmetic number, because the mean of its divisors is an integer number (690816060).

Almost surely, 220132332024 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 20132332024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22106113920).

20132332024 is an abundant number, since it is smaller than the sum of its proper divisors (24079895816).

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

20132332024 is a wasteful number, since it uses less digits than its factorization.

20132332024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12980 (or 12976 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 20132332024 its reverse (42023323102), we get a palindrome (62155655126).

The spelling of 20132332024 in words is "twenty billion, one hundred thirty-two million, three hundred thirty-two thousand, twenty-four".

Divisors: 1 2 4 7 8 14 28 43 56 86 172 301 344 602 683 1204 1366 2408 2732 4781 5464 9562 12241 19124 24482 29369 38248 48964 58738 85687 97928 117476 171374 205583 234952 342748 411166 526363 685496 822332 1052726 1644664 2105452 3684541 4210904 7369082 8360603 14738164 16721206 29476328 33442412 58524221 66884824 117048442 234096884 359505929 468193768 719011858 1438023716 2516541503 2876047432 5033083006 10066166012 20132332024