Search a number
-
+
6161373648 = 24331732903
BaseRepresentation
bin1011011110011111…
…10001100111010000
3120220101201012201000
411233033301213100
5100104302424043
62455215342000
7305453545323
oct55717614720
916811635630
106161373648
112681a31241
12123b521900
1377264a831
144264187ba
15260db22d3
hex16f3f19d0

6161373648 has 160 divisors (see below), whose sum is σ = 18797011200. Its totient is φ = 1932314112.

The previous prime is 6161373641. The next prime is 6161373661. The reversal of 6161373648 is 8463731616.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6161373641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2120965 + ... + 2123867.

It is an arithmetic number, because the mean of its divisors is an integer number (117481320).

Almost surely, 26161373648 is an apocalyptic number.

6161373648 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6161373648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9398505600).

6161373648 is an abundant number, since it is smaller than the sum of its proper divisors (12635637552).

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

6161373648 is a wasteful number, since it uses less digits than its factorization.

6161373648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2971 (or 2925 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 6161373648 is about 78494.4179416600. The cubic root of 6161373648 is about 1833.2675403239.

The spelling of 6161373648 in words is "six billion, one hundred sixty-one million, three hundred seventy-three thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 102 108 136 144 153 204 216 272 289 306 408 432 459 578 612 816 867 918 1156 1224 1734 1836 2312 2448 2601 2903 3468 3672 4624 4913 5202 5806 6936 7344 7803 8709 9826 10404 11612 13872 14739 15606 17418 19652 20808 23224 26127 29478 31212 34836 39304 41616 44217 46448 49351 52254 58956 62424 69672 78381 78608 88434 98702 104508 117912 124848 132651 139344 148053 156762 176868 197404 209016 235824 265302 296106 313524 353736 394808 418032 444159 530604 592212 627048 707472 789616 838967 888318 1061208 1184424 1254096 1332477 1677934 1776636 2122416 2368848 2516901 2664954 3355868 3553272 5033802 5329908 6711736 7106544 7550703 10067604 10659816 13423472 14262439 15101406 20135208 21319632 22652109 28524878 30202812 40270416 42787317 45304218 57049756 60405624 85574634 90608436 114099512 120811248 128361951 171149268 181216872 228199024 256723902 342298536 362433744 385085853 513447804 684597072 770171706 1026895608 1540343412 2053791216 3080686824 6161373648