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36132401344 = 2613199218233
BaseRepresentation
bin100001101001101010…
…001011000011000000
310110021010111011112211
4201221222023003000
51042444343320334
624333214431504
72416252225654
oct415152130300
9113233434484
1036132401344
1114361886a16
127004802594
13353aa0a650
141a6aa80a64
15e171b6a64
hex869a8b0c0

36132401344 has 56 divisors (see below), whose sum is σ = 77604010400. Its totient is φ = 16592615424.

The previous prime is 36132401309. The next prime is 36132401369. The reversal of 36132401344 is 44310423163.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56452 + ... + 274684.

It is an arithmetic number, because the mean of its divisors is an integer number (1385785900).

Almost surely, 236132401344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36132401344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38802005200).

36132401344 is an abundant number, since it is smaller than the sum of its proper divisors (41471609056).

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

36132401344 is a wasteful number, since it uses less digits than its factorization.

36132401344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218457 (or 218447 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 31.

The spelling of 36132401344 in words is "thirty-six billion, one hundred thirty-two million, four hundred one thousand, three hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 199 208 398 416 796 832 1592 2587 3184 5174 6368 10348 12736 20696 41392 82784 165568 218233 436466 872932 1745864 2837029 3491728 5674058 6983456 11348116 13966912 22696232 43428367 45392464 86856734 90784928 173713468 181569856 347426936 564568771 694853872 1129137542 1389707744 2258275084 2779415488 4516550168 9033100336 18066200672 36132401344