Search a number
-
+
289031325216 = 25331691140551
BaseRepresentation
bin1000011010010111001…
…11000000011000100000
31000122001002102121121220
410031023213000120200
514213414004401331
6340440144215040
726611315504554
oct4151347003040
91018032377556
10289031325216
11101639714617
124802400a480
13213425514ba
14ddbc4a7864
1577b975b296
hex434b9c0620

289031325216 has 96 divisors (see below), whose sum is σ = 784320638976. Its totient is φ = 93100320000.

The previous prime is 289031325181. The next prime is 289031325221. The reversal of 289031325216 is 612523130982.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×2890313252162 (a number of 24 digits) contains 22 as substring.

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, 1986141 + ... + 2126691.

It is an arithmetic number, because the mean of its divisors is an integer number (8170006656).

Almost surely, 2289031325216 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 289031325216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392160319488).

289031325216 is an abundant number, since it is smaller than the sum of its proper divisors (495289313760).

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

289031325216 is a wasteful number, since it uses less digits than its factorization.

289031325216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141286 (or 141278 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The spelling of 289031325216 in words is "two hundred eighty-nine billion, thirty-one million, three hundred twenty-five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 691 744 992 1382 1488 2073 2764 2976 4146 5528 8292 11056 16584 21421 22112 33168 42842 64263 66336 85684 128526 140551 171368 257052 281102 342736 421653 514104 562204 685472 843306 1028208 1124408 1686612 2056416 2248816 3373224 4357081 4497632 6746448 8714162 13071243 13492896 17428324 26142486 34856648 52284972 69713296 97120741 104569944 139426592 194241482 209139888 291362223 388482964 418279776 582724446 776965928 1165448892 1553931856 2330897784 3010742971 3107863712 4661795568 6021485942 9032228913 9323591136 12042971884 18064457826 24085943768 36128915652 48171887536 72257831304 96343775072 144515662608 289031325216