Search a number
-
+
1153215069344 = 25132772151609
BaseRepresentation
bin10000110010000000111…
…110010111110010100000
311002020122112121101100222
4100302000332113302200
5122343241024204334
62241440225102212
7146213513232212
oct20620076276240
94066575541328
101153215069344
1140509192a248
12167601487968
13849949618a0
143db5cbc65b2
151eee771dd2e
hex10c80f97ca0

1153215069344 has 24 divisors (see below), whose sum is σ = 2445037720020. Its totient is φ = 532253108736.

The previous prime is 1153215069323. The next prime is 1153215069361. The reversal of 1153215069344 is 4439605123511.

It can be written as a sum of positive squares in 2 ways, for example, as 1122031747600 + 31183321744 = 1059260^2 + 176588^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1153215069295 and 1153215069304.

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 3 ways as a sum of consecutive naturals, for example, 1386075389 + ... + 1386076220.

Almost surely, 21153215069344 is an apocalyptic number.

It is an amenable number.

1153215069344 is an abundant number, since it is smaller than the sum of its proper divisors (1291822650676).

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

1153215069344 is a wasteful number, since it uses less digits than its factorization.

1153215069344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2772151632 (or 2772151624 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 44.

The spelling of 1153215069344 in words is "one trillion, one hundred fifty-three billion, two hundred fifteen million, sixty-nine thousand, three hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 2772151609 5544303218 11088606436 22177212872 36037970917 44354425744 72075941834 88708851488 144151883668 288303767336 576607534672 1153215069344