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85492830624 = 2533172809307
BaseRepresentation
bin100111110011111000…
…1010001000110100000
322011200010211210002020
41033213301101012200
52400042131034444
6103135212021440
76114410033025
oct1174761210640
9264603753066
1085492830624
1133291524023
121469b461880
1380a6108456
1441d048754c
152355824119
hex13e7c511a0

85492830624 has 48 divisors (see below), whose sum is σ = 225126705888. Its totient is φ = 28407702272.

The previous prime is 85492830623. The next prime is 85492830701. The reversal of 85492830624 is 42603829458.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (85492830623) 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 7 ways as a sum of consecutive naturals, for example, 1374222 + ... + 1435085.

It is an arithmetic number, because the mean of its divisors is an integer number (4690139706).

Almost surely, 285492830624 is an apocalyptic number.

It is an amenable number.

85492830624 is an abundant number, since it is smaller than the sum of its proper divisors (139633875264).

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

85492830624 is a wasteful number, since it uses less digits than its factorization.

85492830624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2809637 (or 2809629 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 51.

The spelling of 85492830624 in words is "eighty-five billion, four hundred ninety-two million, eight hundred thirty thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 317 634 951 1268 1902 2536 3804 5072 7608 10144 15216 30432 2809307 5618614 8427921 11237228 16855842 22474456 33711684 44948912 67423368 89897824 134846736 269693472 890550319 1781100638 2671650957 3562201276 5343301914 7124402552 10686603828 14248805104 21373207656 28497610208 42746415312 85492830624