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90075083139249 = 313151124211231421
BaseRepresentation
bin10100011110110000111101…
…010101010110100010110001
3102210221002112102020221111120
4110132300331111112202301
543301242232240423444
6515323531045532453
724654465346601355
oct2436607525264261
9383832472227446
1090075083139249
11267786a01a7a5a
12a1291a3114129
133b35075582b90
14183592b83d465
15a630d6367b19
hex51ec3d5568b1

90075083139249 has 32 divisors (see below), whose sum is σ = 130205715403008. Its totient is φ = 55059251040000.

The previous prime is 90075083139143. The next prime is 90075083139257. The reversal of 90075083139249 is 94293138057009.

It is not a de Polignac number, because 90075083139249 - 212 = 90075083135153 is a prime.

It is a super-2 number, since 2×900750831392492 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 90075083139192 and 90075083139201.

It is not an unprimeable number, because it can be changed into a prime (90075083159249) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72531559 + ... + 73762979.

It is an arithmetic number, because the mean of its divisors is an integer number (4068928606344).

Almost surely, 290075083139249 is an apocalyptic number.

It is an amenable number.

90075083139249 is a deficient number, since it is larger than the sum of its proper divisors (40130632263759).

90075083139249 is a wasteful number, since it uses less digits than its factorization.

90075083139249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1244009.

The product of its (nonzero) digits is 14696640, while the sum is 60.

The spelling of 90075083139249 in words is "ninety trillion, seventy-five billion, eighty-three million, one hundred thirty-nine thousand, two hundred forty-nine".

Divisors: 1 3 13 39 151 453 1963 5889 12421 37263 161473 484419 1231421 1875571 3694263 5626713 16008473 24382423 48025419 73147269 185944571 557833713 2417279423 7251838269 15295480241 45886440723 198841243133 596523729399 2309617516391 6928852549173 30025027713083 90075083139249