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91752044836 = 221725921512
BaseRepresentation
bin101010101110011011…
…0010001100100100100
322202211100122210210211
41111130312101210210
53000402010413321
6110052244425204
76425462340664
oct1253466214444
9282740583724
1091752044836
1135a03701331
12159476a8204
138862ac18ba
1446258901a4
1525c00b10e1
hex155cd91924

91752044836 has 81 divisors (see below), whose sum is σ = 174663355377. Its totient is φ = 42164515200.

The previous prime is 91752044743. The next prime is 91752044861. The reversal of 91752044836 is 63844025719.

It is a happy number.

The square root of 91752044836 is 302906.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 71433252900 + 20318791936 = 267270^2 + 142544^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 91752044836.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 607629361 + ... + 607629511.

It is a 2-persistent number, because it is pandigital, and so is 2⋅91752044836 = 183504089672, but 3⋅91752044836 = 275256134508 is not.

Almost surely, 291752044836 is an apocalyptic number.

91752044836 is the 302906-th square number.

It is an amenable number.

91752044836 is a deficient number, since it is larger than the sum of its proper divisors (82911310541).

91752044836 is a wasteful number, since it uses less digits than its factorization.

91752044836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 49.

Multiplying 91752044836 by its sum of digits (49), we get a square (4495850196964 = 21203422).

The spelling of 91752044836 in words is "ninety-one billion, seven hundred fifty-two million, forty-four thousand, eight hundred thirty-six".

Divisors: 1 2 4 17 34 59 68 118 151 236 289 302 578 604 1003 1156 2006 2567 3481 4012 5134 6962 8909 10268 13924 17051 17818 22801 34102 35636 43639 45602 59177 68204 87278 91204 118354 151453 174556 236708 302906 387617 525631 605812 775234 1006009 1051262 1345259 1550468 2012018 2102524 2574701 2690518 4024036 5149402 5381036 6589489 8935727 10298804 13178978 17871454 22869403 26357956 35742908 45738806 79370281 91477612 151907359 158740562 303814718 317481124 388779851 607629436 777559702 1349294777 1555119404 2698589554 5397179108 22938011209 45876022418 91752044836