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525495683412 = 2232719331331579
BaseRepresentation
bin1111010010110011111…
…10111100100101010100
31212020101200211121212100
413221121332330211110
532102203343332122
61041224232122100
752652162416020
oct7513176744524
91766350747770
10525495683412
11192952682837
1285a17536330
133a72828768b
141b61135b380
15da090b9aac
hex7a59fbc954

525495683412 has 144 divisors (see below), whose sum is σ = 1602831193600. Its totient is φ = 141809279040.

The previous prime is 525495683351. The next prime is 525495683423. The reversal of 525495683412 is 214386594525.

525495683412 is a `hidden beast` number, since 5 + 2 + 5 + 49 + 568 + 34 + 1 + 2 = 666.

It is a super-2 number, since 2×5254956834122 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1419039 + ... + 1750617.

Almost surely, 2525495683412 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 525495683412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (801415596800).

525495683412 is an abundant number, since it is smaller than the sum of its proper divisors (1077335510188).

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

525495683412 is a wasteful number, since it uses less digits than its factorization.

525495683412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331946 (or 331941 counting only the distinct ones).

The product of its digits is 10368000, while the sum is 54.

The spelling of 525495683412 in words is "five hundred twenty-five billion, four hundred ninety-five million, six hundred eighty-three thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 28 36 38 42 57 63 76 84 114 126 133 171 228 252 266 331 342 399 532 662 684 798 993 1197 1324 1596 1986 2317 2394 2979 3972 4634 4788 5958 6289 6951 9268 11916 12578 13902 18867 20853 25156 27804 37734 41706 44023 56601 75468 83412 88046 113202 132069 176092 226404 264138 331579 396207 528276 663158 792414 994737 1326316 1584828 1989474 2321053 2984211 3978948 4642106 5968422 6300001 6963159 9284212 11936844 12600002 13926318 18900003 20889477 25200004 27852636 37800006 41778954 44100007 56700009 75600012 83557908 88200014 109752649 113400018 132300021 176400028 219505298 226800036 264600042 329257947 396900063 439010596 529200084 658515894 768268543 793800126 987773841 1317031788 1536537086 1587600252 1975547682 2085300331 2304805629 3073074172 3951095364 4170600662 4609611258 6255900993 6914416887 8341201324 9219222516 12511801986 13828833774 14597102317 18767702979 25023603972 27657667548 29194204634 37535405958 43791306951 58388409268 75070811916 87582613902 131373920853 175165227804 262747841706 525495683412