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90825082383 = 37831131273631
BaseRepresentation
bin101010010010110011…
…0001100011000001111
322200102202102020101010
41110211212030120033
52442002210114013
6105420252420303
76363505314360
oct1244546143017
9280382366333
1090825082383
1135578433762
1215729177693
138745a479c9
144578715b67
152568a0a7c3
hex152598c60f

90825082383 has 64 divisors (see below), whose sum is σ = 142459011072. Its totient is φ = 50406935040.

The previous prime is 90825082379. The next prime is 90825082393. The reversal of 90825082383 is 38328052809.

It is a Cunningham number, because it is equal to 3013722-1.

It is not a de Polignac number, because 90825082383 - 22 = 90825082379 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90825082343) 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 63 ways as a sum of consecutive naturals, for example, 25011978 + ... + 25015608.

It is an arithmetic number, because the mean of its divisors is an integer number (2225922048).

Almost surely, 290825082383 is an apocalyptic number.

90825082383 is a deficient number, since it is larger than the sum of its proper divisors (51633928689).

90825082383 is a wasteful number, since it uses less digits than its factorization.

90825082383 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3964.

The product of its (nonzero) digits is 829440, while the sum is 48.

The spelling of 90825082383 in words is "ninety billion, eight hundred twenty-five million, eighty-two thousand, three hundred eighty-three".

Divisors: 1 3 7 21 83 113 127 249 339 381 581 791 889 1743 2373 2667 3631 9379 10541 10893 14351 25417 28137 31623 43053 65653 73787 76251 100457 196959 221361 301371 301373 410303 461137 904119 1191133 1230909 1383411 2109611 2872121 3227959 3573399 6328833 8337931 8616363 9683877 25013793 34055149 38274371 52108481 102165447 114823113 156325443 238386043 267920597 364759367 715158129 803761791 1094278101 4325003923 12975011769 30275027461 90825082383