Search a number
-
+
13641666300 = 2233525052469
BaseRepresentation
bin11001011010001101…
…10100111011111100
31022012201012110011000
430231012310323330
5210414231310200
610133352130300
7662024151603
oct145506647374
938181173130
1013641666300
115870401889
122788696990
1313952c86c2
14935a7aa3a
1554c950300
hex32d1b4efc

13641666300 has 72 divisors (see below), whose sum is σ = 43855439600. Its totient is φ = 3637776960.

The previous prime is 13641666277. The next prime is 13641666301. The reversal of 13641666300 is 366614631.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13641666301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2523535 + ... + 2528934.

Almost surely, 213641666300 is an apocalyptic number.

13641666300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13641666300 is an abundant number, since it is smaller than the sum of its proper divisors (30213773300).

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

13641666300 is a wasteful number, since it uses less digits than its factorization.

13641666300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5052492 (or 5052479 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 13641666300 in words is "thirteen billion, six hundred forty-one million, six hundred sixty-six thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 135 150 180 225 270 300 450 540 675 900 1350 2700 5052469 10104938 15157407 20209876 25262345 30314814 45472221 50524690 60629628 75787035 90944442 101049380 126311725 136416663 151574070 181888884 227361105 252623450 272833326 303148140 378935175 454722210 505246900 545666652 682083315 757870350 909444420 1136805525 1364166630 1515740700 2273611050 2728333260 3410416575 4547222100 6820833150 13641666300