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12445152420 = 22357322712517
BaseRepresentation
bin10111001011100100…
…11111010010100100
31012010022202020200010
423211302133102210
5200441424334140
65414530450220
7620255023131
oct134562372244
935108666603
1012445152420
115306a67238
1224b3a33970
131234454c1c
14860bb7588
154cc8a2880
hex2e5c9f4a4

12445152420 has 96 divisors (see below), whose sum is σ = 35482220928. Its totient is φ = 3258565632.

The previous prime is 12445152331. The next prime is 12445152449. The reversal of 12445152420 is 2425154421.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 988002 + ... + 1000518.

It is an arithmetic number, because the mean of its divisors is an integer number (369606468).

Almost surely, 212445152420 is an apocalyptic number.

12445152420 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 12445152420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17741110464).

12445152420 is an abundant number, since it is smaller than the sum of its proper divisors (23037068508).

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

12445152420 is a wasteful number, since it uses less digits than its factorization.

12445152420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12829 (or 12827 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

12445152420 divided by its sum of digits (30) gives a palindrome (414838414).

The spelling of 12445152420 in words is "twelve billion, four hundred forty-five million, one hundred fifty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 73 146 219 227 292 365 438 454 681 730 876 908 1095 1135 1362 1460 2190 2270 2724 3405 4380 4540 6810 12517 13620 16571 25034 33142 37551 49713 50068 62585 66284 75102 82855 99426 125170 150204 165710 187755 198852 248565 250340 331420 375510 497130 751020 913741 994260 1827482 2741223 2841359 3654964 4568705 5482446 5682718 8524077 9137410 10964892 11365436 13706115 14206795 17048154 18274820 27412230 28413590 34096308 42620385 54824460 56827180 85240770 170481540 207419207 414838414 622257621 829676828 1037096035 1244515242 2074192070 2489030484 3111288105 4148384140 6222576210 12445152420