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13225052340 = 22325831078273
BaseRepresentation
bin11000101000100011…
…00100100010110100
31021010200021021020100
430110101210202310
5204041103133330
610024150434100
7645505042623
oct142421444264
937120237210
1013225052340
115677219625
122691062930
131329bbac76
148d65cd6ba
155260a9060
hex3144648b4

13225052340 has 144 divisors (see below), whose sum is σ = 40983703488. Its totient is φ = 3451210752.

The previous prime is 13225052327. The next prime is 13225052341. The reversal of 13225052340 is 4325052231.

It is a happy number.

13225052340 is a `hidden beast` number, since 132 + 2 + 5 + 0 + 523 + 4 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13225052341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1594444 + ... + 1602716.

It is an arithmetic number, because the mean of its divisors is an integer number (284609052).

Almost surely, 213225052340 is an apocalyptic number.

13225052340 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 13225052340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20491851744).

13225052340 is an abundant number, since it is smaller than the sum of its proper divisors (27758651148).

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

13225052340 is a wasteful number, since it uses less digits than its factorization.

13225052340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8478 (or 8473 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The spelling of 13225052340 in words is "thirteen billion, two hundred twenty-five million, fifty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 83 90 107 166 180 214 249 321 332 415 428 498 535 642 747 830 963 996 1070 1245 1284 1494 1605 1660 1926 2140 2490 2988 3210 3735 3852 4815 4980 6420 7470 8273 8881 9630 14940 16546 17762 19260 24819 26643 33092 35524 41365 44405 49638 53286 74457 79929 82730 88810 99276 106572 124095 133215 148914 159858 165460 177620 248190 266430 297828 319716 372285 399645 496380 532860 686659 744570 799290 885211 1373318 1489140 1598580 1770422 2059977 2655633 2746636 3433295 3540844 4119954 4426055 5311266 6179931 6866590 7966899 8239908 8852110 10299885 10622532 12359862 13278165 13733180 15933798 17704220 20599770 24719724 26556330 30899655 31867596 39834495 41199540 53112660 61799310 73472513 79668990 123598620 146945026 159337980 220417539 293890052 367362565 440835078 661252617 734725130 881670156 1102087695 1322505234 1469450260 2204175390 2645010468 3306263085 4408350780 6612526170 13225052340