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13296924240 = 24353110716703
BaseRepresentation
bin11000110001000111…
…01111011001010000
31021022200111201221120
430120203233121100
5204213003033430
610035235122240
7650336663655
oct143043573120
937280451846
1013296924240
115703848a96
1226b1143380
13133ba63812
14901d7bc2c
1552c554610
hex3188ef650

13296924240 has 160 divisors (see below), whose sum is σ = 42950393856. Its totient is φ = 3399191040.

The previous prime is 13296924229. The next prime is 13296924253. The reversal of 13296924240 is 4242969231.

It is a junction number, because it is equal to n+sod(n) for n = 13296924192 and 13296924201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 787729 + ... + 804431.

Almost surely, 213296924240 is an apocalyptic number.

13296924240 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 13296924240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21475196928).

13296924240 is an abundant number, since it is smaller than the sum of its proper divisors (29653469616).

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

13296924240 is a wasteful number, since it uses less digits than its factorization.

13296924240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16857 (or 16851 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The spelling of 13296924240 in words is "thirteen billion, two hundred ninety-six million, nine hundred twenty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 80 93 107 120 124 155 186 214 240 248 310 321 372 428 465 496 535 620 642 744 856 930 1070 1240 1284 1488 1605 1712 1860 2140 2480 2568 3210 3317 3720 4280 5136 6420 6634 7440 8560 9951 12840 13268 16585 16703 19902 25680 26536 33170 33406 39804 49755 50109 53072 66340 66812 79608 83515 99510 100218 132680 133624 159216 167030 199020 200436 250545 265360 267248 334060 398040 400872 501090 517793 668120 796080 801744 1002180 1035586 1336240 1553379 1787221 2004360 2071172 2588965 3106758 3574442 4008720 4142344 5177930 5361663 6213516 7148884 7766895 8284688 8936105 10355860 10723326 12427032 14297768 15533790 17872210 20711720 21446652 24854064 26808315 28595536 31067580 35744420 41423440 42893304 53616630 55403851 62135160 71488840 85786608 107233260 110807702 124270320 142977680 166211553 214466520 221615404 277019255 332423106 428933040 443230808 554038510 664846212 831057765 886461616 1108077020 1329692424 1662115530 2216154040 2659384848 3324231060 4432308080 6648462120 13296924240