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82550577252 = 223111348106397
BaseRepresentation
bin100110011100001100…
…1011101100001100100
321220002002110211020010
41030320121131201210
52323030421433002
6101531225210220
75651452220613
oct1147031354144
9256062424203
1082550577252
1132011715570
1213bba030970
137a27692320
143dd17d387a
15223238a46c
hex133865d864

82550577252 has 48 divisors (see below), whose sum is σ = 226292496192. Its totient is φ = 23091070080.

The previous prime is 82550577247. The next prime is 82550577269. The reversal of 82550577252 is 25277505528.

It is an unprimeable number.

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, 24051483 + ... + 24054914.

It is an arithmetic number, because the mean of its divisors is an integer number (4714427004).

Almost surely, 282550577252 is an apocalyptic number.

It is an amenable number.

82550577252 is an abundant number, since it is smaller than the sum of its proper divisors (143741918940).

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

82550577252 is a wasteful number, since it uses less digits than its factorization.

82550577252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48106428 (or 48106426 counting only the distinct ones).

The product of its (nonzero) digits is 1960000, while the sum is 48.

It can be divided in two parts, 825 and 50577252, that multiplied together give a square (41726232900 = 2042702).

The spelling of 82550577252 in words is "eighty-two billion, five hundred fifty million, five hundred seventy-seven thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 132 143 156 286 429 572 858 1716 48106397 96212794 144319191 192425588 288638382 529170367 577276764 625383161 1058340734 1250766322 1587511101 1876149483 2116681468 2501532644 3175022202 3752298966 6350044404 6879214771 7504597932 13758429542 20637644313 27516859084 41275288626 82550577252