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12435550540 = 22571913213539
BaseRepresentation
bin10111001010011011…
…10111000101001100
31012002122200102100221
423211031313011030
5200432000104130
65413545001124
7620110302250
oct134515670514
935078612327
1012435550540
1153015a91a6
1224b07831a4
13123247263a
1485d7d8260
154cbb0787a
hex2e537714c

12435550540 has 96 divisors (see below), whose sum is σ = 31448793600. Its totient is φ = 4035018240.

The previous prime is 12435550531. The next prime is 12435550549. The reversal of 12435550540 is 4505553421.

It is an interprime number because it is at equal distance from previous prime (12435550531) and next prime (12435550549).

It is a junction number, because it is equal to n+sod(n) for n = 12435550496 and 12435550505.

It is not an unprimeable number, because it can be changed into a prime (12435550549) 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, 3512091 + ... + 3515629.

It is an arithmetic number, because the mean of its divisors is an integer number (327591600).

Almost surely, 212435550540 is an apocalyptic number.

12435550540 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 12435550540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15724396800).

12435550540 is an abundant number, since it is smaller than the sum of its proper divisors (19013243060).

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

12435550540 is a wasteful number, since it uses less digits than its factorization.

12435550540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4895 (or 4893 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 34.

The spelling of 12435550540 in words is "twelve billion, four hundred thirty-five million, five hundred fifty thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 70 76 95 133 140 190 266 380 532 665 1321 1330 2642 2660 3539 5284 6605 7078 9247 13210 14156 17695 18494 24773 25099 26420 35390 36988 46235 49546 50198 67241 70780 92470 99092 100396 123865 125495 134482 175693 184940 247730 250990 268964 336205 351386 470687 495460 501980 672410 702772 878465 941374 1344820 1756930 1882748 2353435 3513860 4675019 4706870 9350038 9413740 18700076 23375095 32725133 46750190 65450266 88825361 93500380 130900532 163625665 177650722 327251330 355301444 444126805 621777527 654502660 888253610 1243555054 1776507220 2487110108 3108887635 6217775270 12435550540