Search a number
-
+
9011379456 = 283224116229
BaseRepresentation
bin10000110010001111…
…01011110100000000
3212021000111111200200
420121013223310000
5121423403120311
64050105045200
7436211314212
oct103107536400
925230444620
109011379456
113904763842
1218b5a86800
13b07c359c1
14616b385b2
1537b1c8556
hex2191ebd00

9011379456 has 108 divisors (see below), whose sum is σ = 26091445380. Its totient is φ = 2991144960.

The previous prime is 9011379437. The next prime is 9011379457. The reversal of 9011379456 is 6549731109.

It can be written as a sum of positive squares in 2 ways, for example, as 8013830400 + 997549056 = 89520^2 + 31584^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9011379457) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 547150 + ... + 563378.

Almost surely, 29011379456 is an apocalyptic number.

9011379456 is a gapful number since it is divisible by the number (96) 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 9011379456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13045722690).

9011379456 is an abundant number, since it is smaller than the sum of its proper divisors (17080065924).

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

9011379456 is a wasteful number, since it uses less digits than its factorization.

9011379456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16492 (or 16475 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The square root of 9011379456 is about 94928.2858583257. The cubic root of 9011379456 is about 2080.9601287282.

The spelling of 9011379456 in words is "nine billion, eleven million, three hundred seventy-nine thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 241 256 288 384 482 576 723 768 964 1152 1446 1928 2169 2304 2892 3856 4338 5784 7712 8676 11568 15424 16229 17352 23136 30848 32458 34704 46272 48687 61696 64916 69408 92544 97374 129832 138816 146061 185088 194748 259664 277632 292122 389496 519328 555264 584244 778992 1038656 1168488 1557984 2077312 2336976 3115968 3911189 4154624 4673952 6231936 7822378 9347904 11733567 12463872 15644756 18695808 23467134 31289512 35200701 37391616 46934268 62579024 70401402 93868536 125158048 140802804 187737072 250316096 281605608 375474144 500632192 563211216 750948288 1001264384 1126422432 1501896576 2252844864 3003793152 4505689728 9011379456