Search a number
-
+
12552420540 = 22351131360763
BaseRepresentation
bin10111011000010111…
…01011110010111100
31012101210121000212110
423230023223302330
5201201404424130
65433321534020
7623026546152
oct135413536274
935353530773
1012552420540
115361572380
122523944310
13125074199a
1487113b3d2
154d6ee0ab0
hex2ec2ebcbc

12552420540 has 96 divisors (see below), whose sum is σ = 38465070336. Its totient is φ = 3033239040.

The previous prime is 12552420527. The next prime is 12552420541. The reversal of 12552420540 is 4502425521.

It is a super-2 number, since 2×125524205402 (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 12552420498 and 12552420507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12552420541) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 176199 + ... + 236961.

It is an arithmetic number, because the mean of its divisors is an integer number (400677816).

Almost surely, 212552420540 is an apocalyptic number.

12552420540 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 12552420540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19232535168).

12552420540 is an abundant number, since it is smaller than the sum of its proper divisors (25912649796).

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

12552420540 is a wasteful number, since it uses less digits than its factorization.

12552420540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61099 (or 61097 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 30.

The spelling of 12552420540 in words is "twelve billion, five hundred fifty-two million, four hundred twenty thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 313 330 626 660 939 1252 1565 1878 3130 3443 3756 4695 6260 6886 9390 10329 13772 17215 18780 20658 34430 41316 51645 60763 68860 103290 121526 182289 206580 243052 303815 364578 607630 668393 729156 911445 1215260 1336786 1822890 2005179 2673572 3341965 3645780 4010358 6683930 8020716 10025895 13367860 19018819 20051790 38037638 40103580 57056457 76075276 95094095 114112914 190188190 209207009 228225828 285282285 380376380 418414018 570564570 627621027 836828036 1046035045 1141129140 1255242054 2092070090 2510484108 3138105135 4184140180 6276210270 12552420540