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82529090748 = 223213176344211
BaseRepresentation
bin100110011011100011…
…1011111110010111100
321220000121001012021200
41030313013133302330
52323004421400443
6101525140455500
75651101461006
oct1146707376274
9256017035250
1082529090748
113200057a425
1213bb29aa590
137a230ab410
143dcc9dd376
152230543dd3
hex13371dfcbc

82529090748 has 36 divisors (see below), whose sum is σ = 224662526088. Its totient is φ = 25393566240.

The previous prime is 82529090741. The next prime is 82529090771. The reversal of 82529090748 is 84709092528.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×825290907482 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 82529090694 and 82529090703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82529090741) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 88171638 + ... + 88172573.

Almost surely, 282529090748 is an apocalyptic number.

It is an amenable number.

82529090748 is an abundant number, since it is smaller than the sum of its proper divisors (142133435340).

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

82529090748 is a wasteful number, since it uses less digits than its factorization.

82529090748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176344234 (or 176344229 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 82529090748 in words is "eighty-two billion, five hundred twenty-nine million, ninety thousand, seven hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 176344211 352688422 529032633 705376844 1058065266 1587097899 2116130532 2292474743 3174195798 4584949486 6348391596 6877424229 9169898972 13754848458 20632272687 27509696916 41264545374 82529090748