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5641226305 = 5112132924733
BaseRepresentation
bin1010100000011111…
…00100100001000001
3112120010221222200121
411100033210201001
543023123220210
62331435020241
7256536426631
oct52017444101
915503858617
105641226305
112435363900
12111529a681
136bb960240
143b72da6c1
152303b96da
hex1503e4841

5641226305 has 48 divisors (see below), whose sum is σ = 8289847440. Its totient is φ = 3656378880.

The previous prime is 5641226281. The next prime is 5641226309. The reversal of 5641226305 is 5036221465.

It can be written as a sum of positive squares in 8 ways, for example, as 1461991696 + 4179234609 = 38236^2 + 64647^2 .

It is not a de Polignac number, because 5641226305 - 25 = 5641226273 is a prime.

It is not an unprimeable number, because it can be changed into a prime (5641226309) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 215719 + ... + 240451.

It is an arithmetic number, because the mean of its divisors is an integer number (172705155).

Almost surely, 25641226305 is an apocalyptic number.

5641226305 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

5641226305 is a deficient number, since it is larger than the sum of its proper divisors (2648621135).

5641226305 is a wasteful number, since it uses less digits than its factorization.

5641226305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24802 (or 24791 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 34.

The square root of 5641226305 is about 75108.0974662519. The cubic root of 5641226305 is about 1780.1550915868.

The spelling of 5641226305 in words is "five billion, six hundred forty-one million, two hundred twenty-six thousand, three hundred five".

Divisors: 1 5 11 13 29 55 65 121 143 145 319 377 605 715 1573 1595 1885 3509 4147 7865 17545 20735 24733 45617 123665 228085 272063 321529 717257 1360315 1607645 2992693 3536819 3586285 7889827 9324341 14963465 17684095 38905009 39449135 46621705 86788097 102567751 194525045 433940485 512838755 1128245261 5641226305