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252220975872 = 2833112783417
BaseRepresentation
bin1110101011100110001…
…0101010101100000000
3220010000201021010020220
43222321202222230000
513113022032211442
6311511350503040
724136161631035
oct3527142525400
9803021233226
10252220975872
1197a6a1902a8
1240a70364a80
131aa27255bb8
14c2c978d38c
156862ccaeec
hex3ab98aab00

252220975872 has 144 divisors (see below), whose sum is σ = 698394181632. Its totient is φ = 80719994880.

The previous prime is 252220975843. The next prime is 252220975873. The reversal of 252220975872 is 278579022252.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (252220975873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2981908 + ... + 3065324.

Almost surely, 2252220975872 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 252220975872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349197090816).

252220975872 is an abundant number, since it is smaller than the sum of its proper divisors (446173205760).

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

252220975872 is a wasteful number, since it uses less digits than its factorization.

252220975872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83594 (or 83580 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 51.

The spelling of 252220975872 in words is "two hundred fifty-two billion, two hundred twenty million, nine hundred seventy-five thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 127 128 186 192 248 254 256 372 381 384 496 508 744 762 768 992 1016 1488 1524 1984 2032 2976 3048 3937 3968 4064 5952 6096 7874 7936 8128 11811 11904 12192 15748 16256 23622 23808 24384 31496 32512 47244 48768 62992 83417 94488 97536 125984 166834 188976 250251 251968 333668 377952 500502 503936 667336 755904 1001004 1007872 1334672 1511808 2002008 2585927 2669344 3023616 4004016 5171854 5338688 7757781 8008032 10343708 10593959 10677376 15515562 16016064 20687416 21187918 21354752 31031124 31781877 32032128 41374832 42375836 62062248 63563754 64064256 82749664 84751672 124124496 127127508 165499328 169503344 248248992 254255016 328412729 330998656 339006688 496497984 508510032 656825458 661997312 678013376 985238187 992995968 1017020064 1313650916 1356026752 1970476374 1985991936 2034040128 2627301832 2712053504 3940952748 4068080256 5254603664 7881905496 8136160512 10509207328 15763810992 21018414656 31527621984 42036829312 63055243968 84073658624 126110487936 252220975872