Search a number
-
+
113262076944 = 24322365951893
BaseRepresentation
bin110100101111011110…
…0100010010000010000
3101211100102120122200200
41221132330202100100
53323430042430234
6124010515215200
711116511524602
oct1513674422020
9354312518620
10113262076944
1144041542875
1219b4b2a7500
13a8b0291b53
1456a652b172
152e2d6a8d99
hex1a5ef22410

113262076944 has 120 divisors (see below), whose sum is σ = 331266386880. Its totient is φ = 36057052416.

The previous prime is 113262076943. The next prime is 113262076957. The reversal of 113262076944 is 449670262311.

113262076944 is a `hidden beast` number, since 1 + 13 + 2 + 620 + 7 + 6 + 9 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 113262076944.

It is not an unprimeable number, because it can be changed into a prime (113262076943) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2156662 + ... + 2208554.

It is an arithmetic number, because the mean of its divisors is an integer number (2760553224).

Almost surely, 2113262076944 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 113262076944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165633193440).

113262076944 is an abundant number, since it is smaller than the sum of its proper divisors (218004309936).

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

113262076944 is a wasteful number, since it uses less digits than its factorization.

113262076944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52589 (or 52580 counting only the distinct ones).

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

The spelling of 113262076944 in words is "one hundred thirteen billion, two hundred sixty-two million, seventy-six thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 92 138 144 184 207 276 368 414 552 659 828 1104 1318 1656 1977 2636 3312 3954 5272 5931 7908 10544 11862 15157 15816 23724 30314 31632 45471 47448 51893 60628 90942 94896 103786 121256 136413 155679 181884 207572 242512 272826 311358 363768 415144 467037 545652 622716 727536 830288 934074 1091304 1193539 1245432 1868148 2182608 2387078 2490864 3580617 3736296 4774156 7161234 7472592 9548312 10741851 14322468 19096624 21483702 28644936 34197487 42967404 57289872 68394974 85934808 102592461 136789948 171869616 205184922 273579896 307777383 410369844 547159792 615554766 786542201 820739688 1231109532 1573084402 1641479376 2359626603 2462219064 3146168804 4719253206 4924438128 6292337608 7078879809 9438506412 12584675216 14157759618 18877012824 28315519236 37754025648 56631038472 113262076944