Search a number
-
+
290726957916112 = 2453734696416353
BaseRepresentation
bin100001000011010100010010…
…1000011011001111111010000
31102010101020002120021202120011
41002012220211003121333100
5301101232302211303422
62510154042022124304
7115144221016334554
oct10206504503317720
91363336076252504
10290726957916112
11846a8679564513
12287349b9b80694
13c62b585780ba3
1451b138d017864
15239271e4e4077
hex1086a250d9fd0

290726957916112 has 40 divisors (see below), whose sum is σ = 581773272268104. Its totient is φ = 140667062575104.

The previous prime is 290726957916079. The next prime is 290726957916163. The reversal of 290726957916112 is 211619759627092.

It can be written as a sum of positive squares in 4 ways, for example, as 145769788602256 + 144957169313856 = 12073516^2 + 12039816^2 .

It is a hoax number, since the sum of its digits (67) coincides with the sum of the digits of its distinct prime factors.

It is a partition number, being equal to the number of ways a set of 253 identical objects can be partitioned into subset.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2348146273 + ... + 2348270080.

Almost surely, 2290726957916112 is an apocalyptic number.

It is an amenable number.

290726957916112 is an abundant number, since it is smaller than the sum of its proper divisors (291046314351992).

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

290726957916112 is a wasteful number, since it uses less digits than its factorization.

290726957916112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4696416487 (or 4696416481 counting only the distinct ones).

The product of its (nonzero) digits is 51438240, while the sum is 67.

The spelling of 290726957916112 in words is "two hundred ninety trillion, seven hundred twenty-six billion, nine hundred fifty-seven million, nine hundred sixteen thousand, one hundred twelve".

Divisors: 1 2 4 8 16 53 73 106 146 212 292 424 584 848 1168 3869 7738 15476 30952 61904 4696416353 9392832706 18785665412 37571330824 75142661648 248910066709 342838393769 497820133418 685676787538 995640266836 1371353575076 1991280533672 2742707150152 3982561067344 5485414300304 18170434869757 36340869739514 72681739479028 145363478958056 290726957916112