Search a number
-
+
2241601491246 = 2313231613774643
BaseRepresentation
bin100000100111101001110…
…111000101000100101110
321221021222001200020221120
4200213221313011010232
5243211244440204441
64433435535241410
7320643655203405
oct40475167050456
97837861606846
102241601491246
11794726670107
1230252b979266
131334c7671550
147a6cbb0063c
153d49882e966
hex209e9dc512e

2241601491246 has 64 divisors (see below), whose sum is σ = 5041110477312. Its totient is φ = 659325693312.

The previous prime is 2241601491209. The next prime is 2241601491247. The reversal of 2241601491246 is 6421941061422.

It is a junction number, because it is equal to n+sod(n) for n = 2241601491198 and 2241601491207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2241601491247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2506401 + ... + 3281043.

It is an arithmetic number, because the mean of its divisors is an integer number (78767351208).

Almost surely, 22241601491246 is an apocalyptic number.

2241601491246 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2241601491246, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2520555238656).

2241601491246 is an abundant number, since it is smaller than the sum of its proper divisors (2799508986066).

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

2241601491246 is a wasteful number, since it uses less digits than its factorization.

2241601491246 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 776297.

The product of its (nonzero) digits is 165888, while the sum is 42.

The spelling of 2241601491246 in words is "two trillion, two hundred forty-one billion, six hundred one million, four hundred ninety-one thousand, two hundred forty-six".

Divisors: 1 2 3 6 13 23 26 39 46 69 78 138 299 598 897 1613 1794 3226 4839 9678 20969 37099 41938 62907 74198 111297 125814 222594 482287 774643 964574 1446861 1549286 2323929 2893722 4647858 10070359 17816789 20140718 30211077 35633578 53450367 60422154 106900734 231618257 463236514 694854771 1249499159 1389709542 2498998318 3748497477 7496994954 16243489067 28738480657 32486978134 48730467201 57476961314 86215441971 97460934402 172430883942 373600248541 747200497082 1120800745623 2241601491246