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85983952025 = 5217957191533
BaseRepresentation
bin101000000010100001…
…0101111110010011001
322012221100222022222202
41100011002233302121
52402043342431100
6103300034255545
76132522350606
oct1200502576231
9265840868882
1085983952025
1133513776884
12147b7a275b5
138153aa222a
1442397ab6ad
1523839d67d5
hex14050afc99

85983952025 has 12 divisors (see below), whose sum is σ = 106626594732. Its totient is φ = 68782971840.

The previous prime is 85983952009. The next prime is 85983952091. The reversal of 85983952025 is 52025938958.

It can be written as a sum of positive squares in 6 ways, for example, as 4455429001 + 81528523024 = 66749^2 + 285532^2 .

It is not a de Polignac number, because 85983952025 - 24 = 85983952009 is a prime.

It is a hoax number, since the sum of its digits (56) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 353159 + ... + 544691.

It is an arithmetic number, because the mean of its divisors is an integer number (8885549561).

Almost surely, 285983952025 is an apocalyptic number.

It is an amenable number.

85983952025 is a deficient number, since it is larger than the sum of its proper divisors (20642642707).

85983952025 is a wasteful number, since it uses less digits than its factorization.

85983952025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209500 (or 209495 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 56.

The spelling of 85983952025 in words is "eighty-five billion, nine hundred eighty-three million, nine hundred fifty-two thousand, twenty-five".

Divisors: 1 5 25 17957 89785 191533 448925 957665 4788325 3439358081 17196790405 85983952025