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36891269041 = 1121929192
BaseRepresentation
bin100010010110111001…
…000001011110110001
310112020000102122022211
4202112321001132301
51101023131102131
624540403532121
72444125420144
oct422671013661
9115200378284
1036891269041
1114711183500
12719698a041
13362bcbb4a3
141add78005b
15e5db165b1
hex896e417b1

36891269041 has 27 divisors (see below), whose sum is σ = 42843058713. Its totient is φ = 31737812040.

The previous prime is 36891269039. The next prime is 36891269057. The reversal of 36891269041 is 14096219863.

It is a happy number.

The square root of 36891269041 is 192071.

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

It is not a de Polignac number, because 36891269041 - 21 = 36891269039 is a prime.

It is not an unprimeable number, because it can be changed into a prime (36891269021) 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 26 ways as a sum of consecutive naturals, for example, 40142380 + ... + 40143298.

Almost surely, 236891269041 is an apocalyptic number.

36891269041 is the 192071-st square number.

36891269041 is the 96036-th centered octagonal number.

It is an amenable number.

36891269041 is a deficient number, since it is larger than the sum of its proper divisors (5951789672).

36891269041 is an frugal number, since it uses more digits than its factorization.

36891269041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1898 (or 949 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 49.

Multiplying 36891269041 by its sum of digits (49), we get a square (1807672183009 = 13444972).

The spelling of 36891269041 in words is "thirty-six billion, eight hundred ninety-one million, two hundred sixty-nine thousand, forty-one".

Divisors: 1 11 19 121 209 361 919 2299 3971 10109 17461 43681 111199 192071 331759 844561 2112781 3649349 9290171 16046659 40142839 102191881 176513249 304886521 1941645739 3353751731 36891269041