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82292975435 = 51121011346747
BaseRepresentation
bin100110010100100001…
…0110010011101001011
321212102010202021222002
41030221002302131023
52322014000203220
6101445504021215
75642203515116
oct1145102623513
9255363667862
1082292975435
113199a26a500
1213b4790180b
1379b61ba808
143da94d957d
152219953c75
hex13290b274b

82292975435 has 24 divisors (see below), whose sum is σ = 109619900208. Its totient is φ = 59256824000.

The previous prime is 82292975411. The next prime is 82292975507. The reversal of 82292975435 is 53457929228.

It is a happy number.

It is not a de Polignac number, because 82292975435 - 210 = 82292974411 is a prime.

It is a Duffinian number.

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 23 ways as a sum of consecutive naturals, for example, 612269 + ... + 734478.

It is an arithmetic number, because the mean of its divisors is an integer number (4567495842).

Almost surely, 282292975435 is an apocalyptic number.

82292975435 is a deficient number, since it is larger than the sum of its proper divisors (27326924773).

82292975435 is a wasteful number, since it uses less digits than its factorization.

82292975435 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1346875 (or 1346864 counting only the distinct ones).

The product of its digits is 10886400, while the sum is 56.

The spelling of 82292975435 in words is "eighty-two billion, two hundred ninety-two million, nine hundred seventy-five thousand, four hundred thirty-five".

Divisors: 1 5 11 55 101 121 505 605 1111 5555 12221 61105 1346747 6733735 14814217 74071085 136021447 162956387 680107235 814781935 1496235917 7481179585 16458595087 82292975435