Search a number
-
+
13521455200 = 2552116125189
BaseRepresentation
bin11001001011111000…
…10000100001100000
31021220100000002112001
430211330100201200
5210142443031300
610113415413344
7656034321121
oct144574204140
937810002461
1013521455200
115809566470
122754384254
131376429686
14923b08048
1554210716a
hex325f10860

13521455200 has 144 divisors (see below), whose sum is σ = 36601876080. Its totient is φ = 4836096000.

The previous prime is 13521455197. The next prime is 13521455249. The reversal of 13521455200 is 255412531.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 524206 + ... + 549394.

It is an arithmetic number, because the mean of its divisors is an integer number (254179695).

Almost surely, 213521455200 is an apocalyptic number.

13521455200 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 13521455200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18300938040).

13521455200 is an abundant number, since it is smaller than the sum of its proper divisors (23080420880).

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

13521455200 is a wasteful number, since it uses less digits than its factorization.

13521455200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25281 (or 25268 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 28.

Adding to 13521455200 its reverse (255412531), we get a palindrome (13776867731).

The spelling of 13521455200 in words is "thirteen billion, five hundred twenty-one million, four hundred fifty-five thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 61 80 88 100 110 122 160 176 200 220 244 275 305 352 400 440 488 550 610 671 800 880 976 1100 1220 1342 1525 1760 1952 2200 2440 2684 3050 3355 4400 4880 5368 6100 6710 8800 9760 10736 12200 13420 16775 21472 24400 25189 26840 33550 48800 50378 53680 67100 100756 107360 125945 134200 201512 251890 268400 277079 403024 503780 536800 554158 629725 806048 1007560 1108316 1259450 1385395 1536529 2015120 2216632 2518900 2770790 3073058 4030240 4433264 5037800 5541580 6146116 6926975 7682645 8866528 10075600 11083160 12292232 13853950 15365290 16901819 20151200 22166320 24584464 27707900 30730580 33803638 38413225 44332640 49168928 55415800 61461160 67607276 76826450 84509095 110831600 122922320 135214552 153652900 169018190 221663200 245844640 270429104 307305800 338036380 422545475 540858208 614611600 676072760 845090950 1229223200 1352145520 1690181900 2704291040 3380363800 6760727600 13521455200