Search a number
-
+
9145534976 = 2982721599
BaseRepresentation
bin10001000010001110…
…11100101000000000
3212121100221022110122
420201013130220000
5122212224104401
64111300315412
7442430523164
oct104107345000
925540838418
109145534976
113973463876
1219329a2b68
13b29977a76
1462a89aca4
15387d7821b
hex2211dca00

9145534976 has 40 divisors (see below), whose sum is σ = 18296150400. Its totient is φ = 4567026688.

The previous prime is 9145534969. The next prime is 9145534987. The reversal of 9145534976 is 6794355419.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 412625 + ... + 434223.

It is an arithmetic number, because the mean of its divisors is an integer number (457403760).

Almost surely, 29145534976 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 9145534976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9148075200).

9145534976 is an abundant number, since it is smaller than the sum of its proper divisors (9150615424).

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

9145534976 is an equidigital number, since it uses as much as digits as its factorization.

9145534976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22444 (or 22428 counting only the distinct ones).

The product of its digits is 4082400, while the sum is 53.

The square root of 9145534976 is about 95632.2904462713. The cubic root of 9145534976 is about 2091.2359604154.

The spelling of 9145534976 in words is "nine billion, one hundred forty-five million, five hundred thirty-four thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 32 64 128 256 512 827 1654 3308 6616 13232 21599 26464 43198 52928 86396 105856 172792 211712 345584 423424 691168 1382336 2764672 5529344 11058688 17862373 35724746 71449492 142898984 285797968 571595936 1143191872 2286383744 4572767488 9145534976