Search a number
-
+
900422952968 = 237211243572
BaseRepresentation
bin11010001101001010110…
…00111110100000001000
310012002011000122022122002
431012211120332200020
5104223031233443333
61525352032450132
7122024214550400
oct15064530764010
93162130568562
10900422952968
1131795a312700
121266119a9948
1366ba92a5c36
143181b643800
151864e7260e8
hexd1a563e808

900422952968 has 108 divisors (see below), whose sum is σ = 2159198473005. Its totient is φ = 350733620160.

The previous prime is 900422952967. The next prime is 900422952977. The reversal of 900422952968 is 869259224009.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 477478236004 + 422944716964 = 690998^2 + 650342^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=670978.

It is a super-2 number, since 2×9004229529682 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is not an unprimeable number, because it can be changed into a prime (900422952967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 206659046 + ... + 206663402.

Almost surely, 2900422952968 is an apocalyptic number.

900422952968 is a gapful number since it is divisible by the number (98) 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 900422952968

900422952968 is an abundant number, since it is smaller than the sum of its proper divisors (1258775520037).

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

900422952968 is an equidigital number, since it uses as much as digits as its factorization.

900422952968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8756 (or 4377 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 56.

The spelling of 900422952968 in words is "nine hundred billion, four hundred twenty-two million, nine hundred fifty-two thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 11 14 22 28 44 49 56 77 88 98 121 154 196 242 308 392 484 539 616 847 968 1078 1694 2156 3388 4312 4357 5929 6776 8714 11858 17428 23716 30499 34856 47432 47927 60998 95854 121996 191708 213493 243992 335489 383416 426986 527197 670978 853972 1054394 1341956 1707944 2108788 2348423 2683912 3690379 4217576 4696846 7380758 9393692 14761516 18787384 18983449 25832653 29523032 37966898 51665306 75933796 103330612 132884143 151867592 206661224 208817939 265768286 417635878 531536572 835271756 930189001 1063073144 1461725573 1670543512 1860378002 2296997329 2923451146 3720756004 4593994658 5846902292 7441512008 9187989316 10232079011 11693804584 16078981303 18375978632 20464158022 32157962606 40928316044 64315925212 81856632088 112552869121 128631850424 225105738242 450211476484 900422952968