Search a number
-
+
1436532844864 = 261316131070429
BaseRepresentation
bin10100111001111000000…
…001111010100101000000
312002022221102222121021011
4110321320001322211000
5142014004402013424
63015533432210304
7205533423465565
oct24717001724500
95068842877234
101436532844864
11504259382367
121b24abb39994
13a560657c940
144d75852886c
152757a576694
hex14e7807a940

1436532844864 has 56 divisors (see below), whose sum is σ = 3071804407560. Its totient is φ = 662603495424.

The previous prime is 1436532844841. The next prime is 1436532844973. The reversal of 1436532844864 is 4684482356341.

It can be written as a sum of positive squares in 4 ways, for example, as 93733945600 + 1342798899264 = 306160^2 + 1158792^2 .

It is a super-2 number, since 2×14365328448642 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1436532844799 and 1436532844808.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 806802 + ... + 1877230.

It is an arithmetic number, because the mean of its divisors is an integer number (54853650135).

Almost surely, 21436532844864 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 1436532844864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1535902203780).

1436532844864 is an abundant number, since it is smaller than the sum of its proper divisors (1635271562696).

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

1436532844864 is a wasteful number, since it uses less digits than its factorization.

1436532844864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1072067 (or 1072057 counting only the distinct ones).

The product of its digits is 53084160, while the sum is 58.

The spelling of 1436532844864 in words is "one trillion, four hundred thirty-six billion, five hundred thirty-two million, eight hundred forty-four thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 832 1613 3226 6452 12904 20969 25808 41938 51616 83876 103232 167752 335504 671008 1070429 1342016 2140858 4281716 8563432 13915577 17126864 27831154 34253728 55662308 68507456 111324616 222649232 445298464 890596928 1726601977 3453203954 6906407908 13812815816 22445825701 27625631632 44891651402 55251263264 89783302804 110502526528 179566605608 359133211216 718266422432 1436532844864