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13235463640 = 2357314335461
BaseRepresentation
bin11000101001110010…
…10010010111011000
31021011101212012212001
430110321102113120
5204101234314030
610025201530344
7645662404360
oct142471222730
937141765761
1013235463640
11568208a803
1226946439b4
13132c0c4ab9
148d7b3d9a0
15526e63cca
hex314e525d8

13235463640 has 128 divisors (see below), whose sum is σ = 35949957120. Its totient is φ = 4289241600.

The previous prime is 13235463617. The next prime is 13235463649. The reversal of 13235463640 is 4636453231.

It is a self number, because there is not a number n which added to its sum of digits gives 13235463640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13235463649) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 355510 + ... + 390970.

It is an arithmetic number, because the mean of its divisors is an integer number (280859040).

Almost surely, 213235463640 is an apocalyptic number.

13235463640 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 13235463640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17974978560).

13235463640 is an abundant number, since it is smaller than the sum of its proper divisors (22714493480).

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

13235463640 is a wasteful number, since it uses less digits than its factorization.

13235463640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35553 (or 35549 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 37.

The spelling of 13235463640 in words is "thirteen billion, two hundred thirty-five million, four hundred sixty-three thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 31 35 40 43 56 62 70 86 124 140 155 172 215 217 248 280 301 310 344 430 434 602 620 860 868 1085 1204 1240 1333 1505 1720 1736 2170 2408 2666 3010 4340 5332 6020 6665 8680 9331 10664 12040 13330 18662 26660 35461 37324 46655 53320 70922 74648 93310 141844 177305 186620 248227 283688 354610 373240 496454 709220 992908 1099291 1241135 1418440 1524823 1985816 2198582 2482270 3049646 4397164 4964540 5496455 6099292 7624115 7695037 8794328 9929080 10673761 10992910 12198584 15248230 15390074 21347522 21985820 30496460 30780148 38475185 42695044 43971640 47269513 53368805 60992920 61560296 76950370 85390088 94539026 106737610 153900740 189078052 213475220 236347565 307801480 330886591 378156104 426950440 472695130 661773182 945390260 1323546364 1654432955 1890780520 2647092728 3308865910 6617731820 13235463640