Search a number
-
+
5605105616 = 2411297913901
BaseRepresentation
bin1010011100001011…
…10001111111010000
3112110121222212102022
411032011301333100
542434401334431
62324104511012
7255620416535
oct51605617720
915417885368
105605105616
112416a328a0
12110517b468
136b4324356
143b25b6d8c
1522c13207b
hex14e171fd0

5605105616 has 80 divisors (see below), whose sum is σ = 12411705600. Its totient is φ = 2428608000.

The previous prime is 5605105609. The next prime is 5605105633. The reversal of 5605105616 is 6165015065.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 396266 + ... + 410166.

It is an arithmetic number, because the mean of its divisors is an integer number (155146320).

Almost surely, 25605105616 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 5605105616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6205852800).

5605105616 is an abundant number, since it is smaller than the sum of its proper divisors (6806599984).

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

5605105616 is a wasteful number, since it uses less digits than its factorization.

5605105616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14028 (or 14022 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 35.

The square root of 5605105616 is about 74867.2532954161. The cubic root of 5605105616 is about 1776.3475177567.

The spelling of 5605105616 in words is "five billion, six hundred five million, one hundred five thousand, six hundred sixteen".

Divisors: 1 2 4 8 11 16 22 29 44 58 79 88 116 158 176 232 316 319 464 632 638 869 1264 1276 1738 2291 2552 3476 4582 5104 6952 9164 13901 13904 18328 25201 27802 36656 50402 55604 100804 111208 152911 201608 222416 305822 403129 403216 611644 806258 1098179 1223288 1612516 2196358 2446576 3225032 4392716 4434419 6450064 8785432 8868838 12079969 17570864 17737676 24159938 31847191 35475352 48319876 63694382 70950704 96639752 127388764 193279504 254777528 350319101 509555056 700638202 1401276404 2802552808 5605105616