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425253514032 = 2432101163179381
BaseRepresentation
bin1100011000000110001…
…01011010101100110000
31111122122122111210200100
412030003011122230300
523431404344422112
6523205254352400
742503115141234
oct6140305325460
91448578453610
10425253514032
11154392582256
126a50065b700
1331141547859
141682209c5c4
15b0dd9962dc
hex630315ab30

425253514032 has 120 divisors (see below), whose sum is σ = 1209282944688. Its totient is φ = 139485888000.

The previous prime is 425253513989. The next prime is 425253514039. The reversal of 425253514032 is 230415352524.

425253514032 is a `hidden beast` number, since 4 + 2 + 52 + 535 + 1 + 40 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (425253514039) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2280982 + ... + 2460362.

Almost surely, 2425253514032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 425253514032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604641472344).

425253514032 is an abundant number, since it is smaller than the sum of its proper divisors (784029430656).

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

425253514032 is a wasteful number, since it uses less digits than its factorization.

425253514032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179659 (or 179650 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

Adding to 425253514032 its reverse (230415352524), we get a palindrome (655668866556).

The spelling of 425253514032 in words is "four hundred twenty-five billion, two hundred fifty-three million, five hundred fourteen thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 101 144 163 202 303 326 404 489 606 652 808 909 978 1212 1304 1467 1616 1818 1956 2424 2608 2934 3636 3912 4848 5868 7272 7824 11736 14544 16463 23472 32926 49389 65852 98778 131704 148167 179381 197556 263408 296334 358762 395112 538143 592668 717524 790224 1076286 1185336 1435048 1614429 2152572 2370672 2870096 3228858 4305144 6457716 8610288 12915432 18117481 25830864 29239103 36234962 54352443 58478206 72469924 87717309 108704886 116956412 144939848 163057329 175434618 217409772 233912824 263151927 289879696 326114658 350869236 434819544 467825648 526303854 652229316 701738472 869639088 1052607708 1304458632 1403476944 2105215416 2608917264 2953149403 4210430832 5906298806 8859448209 11812597612 17718896418 23625195224 26578344627 35437792836 47250390448 53156689254 70875585672 106313378508 141751171344 212626757016 425253514032