Search a number
-
+
12431626320 = 243552399041
BaseRepresentation
bin10111001001111101…
…11001000001010000
31012002101022001100110
423210332321001100
5200424444020240
65413324521320
7620032036341
oct134476710120
935071261313
1012431626320
1152aa368943
1224ab3b0240
1312316ca409
1485d0960c8
154cb5cec80
hex2e4fb9050

12431626320 has 80 divisors (see below), whose sum is σ = 38612117952. Its totient is φ = 3308728320.

The previous prime is 12431626297. The next prime is 12431626321. The reversal of 12431626320 is 2362613421.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12431626321) 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, 76000 + ... + 175040.

Almost surely, 212431626320 is an apocalyptic number.

12431626320 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 12431626320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19306058976).

12431626320 is an abundant number, since it is smaller than the sum of its proper divisors (26180491632).

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

12431626320 is a wasteful number, since it uses less digits than its factorization.

12431626320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99580 (or 99574 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The spelling of 12431626320 in words is "twelve billion, four hundred thirty-one million, six hundred twenty-six thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 523 1046 1569 2092 2615 3138 4184 5230 6276 7845 8368 10460 12552 15690 20920 25104 31380 41840 62760 99041 125520 198082 297123 396164 495205 594246 792328 990410 1188492 1485615 1584656 1980820 2376984 2971230 3961640 4753968 5942460 7923280 11884920 23769840 51798443 103596886 155395329 207193772 258992215 310790658 414387544 517984430 621581316 776976645 828775088 1035968860 1243162632 1553953290 2071937720 2486325264 3107906580 4143875440 6215813160 12431626320