Search a number
-
+
8626426144 = 257179712333
BaseRepresentation
bin10000000100010110…
…01101000100100000
3211021012010212000121
420002023031010200
5120131331114034
63543554130024
7423525261310
oct100213150440
924235125017
108626426144
113727435706
121808b80914
13a7626208b
145bb96d440
153574d81b4
hex2022cd120

8626426144 has 96 divisors (see below), whose sum is σ = 20581174656. Its totient is φ = 3474493440.

The previous prime is 8626426139. The next prime is 8626426163. The reversal of 8626426144 is 4416246268.

It is a self number, because there is not a number n which added to its sum of digits gives 8626426144.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3696402 + ... + 3698734.

It is an arithmetic number, because the mean of its divisors is an integer number (214387236).

Almost surely, 28626426144 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 8626426144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10290587328).

8626426144 is an abundant number, since it is smaller than the sum of its proper divisors (11954748512).

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

8626426144 is a wasteful number, since it uses less digits than its factorization.

8626426144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3338 (or 3330 counting only the distinct ones).

The product of its digits is 442368, while the sum is 43.

The square root of 8626426144 is about 92878.5558888595. Note that the first 3 decimals coincide. The cubic root of 8626426144 is about 2050.8959909627.

The spelling of 8626426144 in words is "eight billion, six hundred twenty-six million, four hundred twenty-six thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 68 112 119 136 224 238 272 476 544 952 971 1904 1942 2333 3808 3884 4666 6797 7768 9332 13594 15536 16331 16507 18664 27188 31072 32662 33014 37328 39661 54376 65324 66028 74656 79322 108752 115549 130648 132056 158644 217504 231098 261296 264112 277627 317288 462196 522592 528224 555254 634576 924392 1110508 1269152 1848784 2221016 2265343 3697568 4442032 4530686 8884064 9061372 15857401 18122744 31714802 36245488 38510831 63429604 72490976 77021662 126859208 154043324 253718416 269575817 308086648 507436832 539151634 616173296 1078303268 1232346592 2156606536 4313213072 8626426144