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12443952480 = 253537700673
BaseRepresentation
bin10111001011011011…
…11010010101100000
31012010020111021122220
423211231322111200
5200441122434410
65414445031040
7620241564561
oct134555722540
935106437586
1012443952480
115306317753
1224b3555480
1312341249bb
14860984168
154cc717070
hex2e5b7a560

12443952480 has 96 divisors (see below), whose sum is σ = 40257925344. Its totient is φ = 3228696576.

The previous prime is 12443952467. The next prime is 12443952497. The reversal of 12443952480 is 8425934421.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 332577 + ... + 368096.

It is an arithmetic number, because the mean of its divisors is an integer number (419353389).

Almost surely, 212443952480 is an apocalyptic number.

12443952480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12443952480 is an abundant number, since it is smaller than the sum of its proper divisors (27813972864).

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

12443952480 is a wasteful number, since it uses less digits than its factorization.

12443952480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 700728 (or 700720 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The spelling of 12443952480 in words is "twelve billion, four hundred forty-three million, nine hundred fifty-two thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 37 40 48 60 74 80 96 111 120 148 160 185 222 240 296 370 444 480 555 592 740 888 1110 1184 1480 1776 2220 2960 3552 4440 5920 8880 17760 700673 1401346 2102019 2802692 3503365 4204038 5605384 7006730 8408076 10510095 11210768 14013460 16816152 21020190 22421536 25924901 28026920 33632304 42040380 51849802 56053840 67264608 77774703 84080760 103699604 112107680 129624505 155549406 168161520 207399208 259249010 311098812 336323040 388873515 414798416 518498020 622197624 777747030 829596832 1036996040 1244395248 1555494060 2073992080 2488790496 3110988120 4147984160 6221976240 12443952480