Search a number
-
+
15421113200 = 2452535912329
BaseRepresentation
bin11100101110010101…
…11000001101110000
31110210201112201101202
432113022320031300
5223040301110300
611030115550332
71054102204463
oct162712701560
943721481352
1015421113200
1165a38a8659
122ba45bb3a8
1315b9b7066c
14a641232da
15603c98ad5
hex3972b8370

15421113200 has 120 divisors (see below), whose sum is σ = 38391181200. Its totient is φ = 5948999680.

The previous prime is 15421113199. The next prime is 15421113247. The reversal of 15421113200 is 231112451.

15421113200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1244636 + ... + 1256964.

It is an arithmetic number, because the mean of its divisors is an integer number (319926510).

Almost surely, 215421113200 is an apocalyptic number.

15421113200 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 15421113200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19195590600).

15421113200 is an abundant number, since it is smaller than the sum of its proper divisors (22970068000).

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

15421113200 is a wasteful number, since it uses less digits than its factorization.

15421113200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12459 (or 12448 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

Adding to 15421113200 its reverse (231112451), we get a palindrome (15652225651).

The spelling of 15421113200 in words is "fifteen billion, four hundred twenty-one million, one hundred thirteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 53 59 80 100 106 118 200 212 236 265 295 400 424 472 530 590 848 944 1060 1180 1325 1475 2120 2360 2650 2950 3127 4240 4720 5300 5900 6254 10600 11800 12329 12508 15635 21200 23600 24658 25016 31270 49316 50032 61645 62540 78175 98632 123290 125080 156350 197264 246580 250160 308225 312700 493160 616450 625400 653437 727411 986320 1232900 1250800 1306874 1454822 2465800 2613748 2909644 3267185 3637055 4931600 5227496 5819288 6534370 7274110 10454992 11638576 13068740 14548220 16335925 18185275 26137480 29096440 32671850 36370550 38552783 52274960 58192880 65343700 72741100 77105566 130687400 145482200 154211132 192763915 261374800 290964400 308422264 385527830 616844528 771055660 963819575 1542111320 1927639150 3084222640 3855278300 7710556600 15421113200