Search a number
-
+
13404517830 = 23251118737229
BaseRepresentation
bin11000111101111100…
…01011010111000110
31021121011222001121100
430132332023113012
5204423024032310
610054041200530
7653114343624
oct143676132706
937534861540
1013404517830
115759556710
122721190146
131358135772
14912388514
15536c08ec0
hex31ef8b5c6

13404517830 has 96 divisors (see below), whose sum is σ = 38045648160. Its totient is φ = 3247395840.

The previous prime is 13404517813. The next prime is 13404517853. The reversal of 13404517830 is 3871540431.

It is a happy number.

13404517830 is a `hidden beast` number, since 134 + 0 + 4 + 517 + 8 + 3 + 0 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1850656 + ... + 1857884.

It is an arithmetic number, because the mean of its divisors is an integer number (396308835).

Almost surely, 213404517830 is an apocalyptic number.

13404517830 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13404517830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19022824080).

13404517830 is an abundant number, since it is smaller than the sum of its proper divisors (24641130330).

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

13404517830 is a wasteful number, since it uses less digits than its factorization.

13404517830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9126 (or 9123 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 13404517830 in words is "thirteen billion, four hundred four million, five hundred seventeen thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 495 990 1873 3746 5619 7229 9365 11238 14458 16857 18730 20603 21687 28095 33714 36145 41206 43374 56190 61809 65061 72290 79519 84285 103015 108435 123618 130122 159038 168570 185427 206030 216870 238557 309045 325305 370854 397595 477114 618090 650610 715671 795190 927135 1192785 1431342 1854270 2385570 3578355 7156710 13539917 27079834 40619751 67699585 81239502 121859253 135399170 148939087 203098755 243718506 297878174 406197510 446817261 609296265 744695435 893634522 1218592530 1340451783 1489390870 2234086305 2680903566 4468172610 6702258915 13404517830