Search a number
-
+
2306649078032 = 2413611597113837
BaseRepresentation
bin100001100100001110111…
…111111011100100010000
322011111212100012001001112
4201210032333323210100
5300243004130444112
64523354314552452
7325435625442515
oct41441677734420
98144770161045
102306649078032
1180a2762a78a2
12313064138728
13139692a7c180
147d8dcac130c
1540004288a22
hex2190effb910

2306649078032 has 80 divisors (see below), whose sum is σ = 4894918340592. Its totient is φ = 1046489794560.

The previous prime is 2306649077923. The next prime is 2306649078047. The reversal of 2306649078032 is 2308709466032.

2306649078032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 1243349883136 + 1063299194896 = 1115056^2 + 1031164^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20205818 + ... + 20319654.

Almost surely, 22306649078032 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 2306649078032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2447459170296).

2306649078032 is an abundant number, since it is smaller than the sum of its proper divisors (2588269262560).

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

2306649078032 is a wasteful number, since it uses less digits than its factorization.

2306649078032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115516 (or 115510 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 50.

The spelling of 2306649078032 in words is "two trillion, three hundred six billion, six hundred forty-nine million, seventy-eight thousand, thirty-two".

Divisors: 1 2 4 8 13 16 26 52 61 104 122 208 244 488 793 976 1586 1597 3172 3194 6344 6388 12688 12776 20761 25552 41522 83044 97417 113837 166088 194834 227674 332176 389668 455348 779336 910696 1266421 1479881 1558672 1821392 2532842 2959762 5065684 5919524 6944057 10131368 11839048 13888114 20262736 23678096 27776228 55552456 90272741 111104912 180545482 181797689 361090964 363595378 722181928 727190756 1444363856 1454381512 2363369957 2908763024 4726739914 9453479828 11089659029 18906959656 22179318058 37813919312 44358636116 88717272232 144165567377 177434544464 288331134754 576662269508 1153324539016 2306649078032