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36261641442 = 23134753186629
BaseRepresentation
bin100001110001010111…
…001011110011100010
310110121010200020122010
4201301113023303202
51043230440011232
624354112453350
72422411603155
oct416127136342
9113533606563
1036261641442
1114418829a14
12703bb4a256
13355b71b290
141a7dcc3c9c
15e236e50cc
hex8715cbce2

36261641442 has 64 divisors (see below), whose sum is σ = 81269153280. Its totient is φ = 10713940224.

The previous prime is 36261641419. The next prime is 36261641459. The reversal of 36261641442 is 24414616263.

36261641442 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 36261641442.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 100984 + ... + 287612.

It is an arithmetic number, because the mean of its divisors is an integer number (1269830520).

Almost surely, 236261641442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36261641442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40634576640).

36261641442 is an abundant number, since it is smaller than the sum of its proper divisors (45007511838).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

36261641442 is a wasteful number, since it uses less digits than its factorization.

36261641442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186747.

The product of its digits is 165888, while the sum is 39.

The spelling of 36261641442 in words is "thirty-six billion, two hundred sixty-one million, six hundred forty-one thousand, four hundred forty-two".

Divisors: 1 2 3 6 13 26 39 47 53 78 94 106 141 159 282 318 611 689 1222 1378 1833 2067 2491 3666 4134 4982 7473 14946 32383 64766 97149 186629 194298 373258 559887 1119774 2426177 4852354 7278531 8771563 9891337 14557062 17543126 19782674 26314689 29674011 52629378 59348022 114030319 128587381 228060638 257174762 342090957 385762143 464892839 684181914 771524286 929785678 1394678517 2789357034 6043606907 12087213814 18130820721 36261641442