Search a number
-
+
2156263872 = 26375330271
BaseRepresentation
bin1000000010000101…
…1111100111000000
312120021101112221220
42000201133213000
513404000420442
6553544115040
7104301640410
oct20041374700
95507345856
102156263872
11a07177a64
12502165a80
1328495a3a9
14166534640
15c947ceec
hex8085f9c0

2156263872 has 112 divisors (see below), whose sum is σ = 6643372032. Its totient is φ = 604431360.

The previous prime is 2156263871. The next prime is 2156263877. The reversal of 2156263872 is 2783626512.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2156263871) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56097 + ... + 86367.

Almost surely, 22156263872 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 2156263872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3321686016).

2156263872 is an abundant number, since it is smaller than the sum of its proper divisors (4487108160).

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

2156263872 is a wasteful number, since it uses less digits than its factorization.

2156263872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30346 (or 30336 counting only the distinct ones).

The product of its digits is 241920, while the sum is 42.

The square root of 2156263872 is about 46435.5884209514. The cubic root of 2156263872 is about 1291.9150835441.

The spelling of 2156263872 in words is "two billion, one hundred fifty-six million, two hundred sixty-three thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 53 56 64 84 96 106 112 159 168 192 212 224 318 336 371 424 448 636 672 742 848 1113 1272 1344 1484 1696 2226 2544 2968 3392 4452 5088 5936 8904 10176 11872 17808 23744 30271 35616 60542 71232 90813 121084 181626 211897 242168 363252 423794 484336 635691 726504 847588 968672 1271382 1453008 1604363 1695176 1937344 2542764 2906016 3208726 3390352 4813089 5085528 5812032 6417452 6780704 9626178 10171056 11230541 12834904 13561408 19252356 20342112 22461082 25669808 33691623 38504712 40684224 44922164 51339616 67383246 77009424 89844328 102679232 134766492 154018848 179688656 269532984 308037696 359377312 539065968 718754624 1078131936 2156263872