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36249542641 = 1329295332561
BaseRepresentation
bin100001110000101001…
…000001111111110001
310110120021220120012101
4201300221001333301
51043214340331031
624353001300401
72422204012534
oct416051017761
9113507816171
1036249542641
1114411a15a04
127037a94701
133559073320
141a7c454a1b
15e22605361
hex870a41ff1

36249542641 has 16 divisors (see below), whose sum is σ = 40399022160. Its totient is φ = 32295352320.

The previous prime is 36249542639. The next prime is 36249542671. The reversal of 36249542641 is 14624594263.

It can be written as a sum of positive squares in 8 ways, for example, as 640343025 + 35609199616 = 25305^2 + 188704^2 .

It is a cyclic number.

It is not a de Polignac number, because 36249542641 - 21 = 36249542639 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 36249542591 and 36249542600.

It is not an unprimeable number, because it can be changed into a prime (36249542671) 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 15 ways as a sum of consecutive naturals, for example, 1097001 + ... + 1129561.

It is an arithmetic number, because the mean of its divisors is an integer number (2524938885).

Almost surely, 236249542641 is an apocalyptic number.

It is an amenable number.

36249542641 is a deficient number, since it is larger than the sum of its proper divisors (4149479519).

36249542641 is a wasteful number, since it uses less digits than its factorization.

36249542641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35556.

The product of its digits is 1244160, while the sum is 46.

It can be divided in two parts, 3624 and 9542641, that added together give a triangular number (9546265 = T4369).

The spelling of 36249542641 in words is "thirty-six billion, two hundred forty-nine million, five hundred forty-two thousand, six hundred forty-one".

Divisors: 1 13 29 377 2953 32561 38389 85637 423293 944269 1113281 12275497 96152633 1249984229 2788426357 36249542641