Search a number
-
+
13249781120 = 27523900121
BaseRepresentation
bin11000101011011111…
…11001110110000000
31021012101210121202002
430111233321312000
5204113420443440
610030432443132
7646225165322
oct142557716600
937171717662
1013249781120
11568a179734
1226993a94a8
131332068894
148d99c9612
15528341115
hex315bf9d80

13249781120 has 64 divisors (see below), whose sum is σ = 33052479840. Its totient is φ = 5069475840.

The previous prime is 13249781089. The next prime is 13249781131. The reversal of 13249781120 is 2118794231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 435341 + ... + 464780.

Almost surely, 213249781120 is an apocalyptic number.

13249781120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13249781120 is an abundant number, since it is smaller than the sum of its proper divisors (19802698720).

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

13249781120 is an equidigital number, since it uses as much as digits as its factorization.

13249781120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 900163 (or 900151 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 38.

The spelling of 13249781120 in words is "thirteen billion, two hundred forty-nine million, seven hundred eighty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 128 160 184 230 320 368 460 640 736 920 1472 1840 2944 3680 7360 14720 900121 1800242 3600484 4500605 7200968 9001210 14401936 18002420 20702783 28803872 36004840 41405566 57607744 72009680 82811132 103513915 115215488 144019360 165622264 207027830 288038720 331244528 414055660 576077440 662489056 828111320 1324978112 1656222640 2649956224 3312445280 6624890560 13249781120