Search a number
-
+
2067726336 = 216313809
BaseRepresentation
bin111101100111111…
…0000000000000000
312100002210101021220
41323033300000000
513213314220321
6541102315040
7102145245444
oct17317600000
95302711256
102067726336
119711a5445
12498588a80
1326c4cb010
14158888824
15c17de9c6
hex7b3f0000

2067726336 has 136 divisors (see below), whose sum is σ = 5945380560. Its totient is φ = 635437056.

The previous prime is 2067726317. The next prime is 2067726359. The reversal of 2067726336 is 6336277602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2555500 + ... + 2556308.

Almost surely, 22067726336 is an apocalyptic number.

2067726336 is a gapful number since it is divisible by the number (26) 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 2067726336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2972690280).

2067726336 is an abundant number, since it is smaller than the sum of its proper divisors (3877654224).

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

2067726336 is an frugal number, since it uses more digits than its factorization.

2067726336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 857 (or 827 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 42.

The square root of 2067726336 is about 45472.2589718171. The cubic root of 2067726336 is about 1273.9851128665.

The spelling of 2067726336 in words is "two billion, sixty-seven million, seven hundred twenty-six thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 512 624 768 809 832 1024 1248 1536 1618 1664 2048 2427 2496 3072 3236 3328 4096 4854 4992 6144 6472 6656 8192 9708 9984 10517 12288 12944 13312 16384 19416 19968 21034 24576 25888 26624 31551 32768 38832 39936 42068 49152 51776 53248 63102 65536 77664 79872 84136 98304 103552 106496 126204 155328 159744 168272 196608 207104 212992 252408 310656 319488 336544 414208 425984 504816 621312 638976 673088 828416 851968 1009632 1242624 1277952 1346176 1656832 2019264 2485248 2555904 2692352 3313664 4038528 4970496 5384704 6627328 8077056 9940992 10769408 13254656 16154112 19881984 21538816 26509312 32308224 39763968 43077632 53018624 64616448 79527936 86155264 129232896 159055872 172310528 258465792 344621056 516931584 689242112 1033863168 2067726336