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9098000000 = 27564549
BaseRepresentation
bin10000111100100100…
…00111011010000000
3212111001111021201222
420132102013122000
5122113042000000
64102441414212
7441312503225
oct103622073200
925431437658
109098000000
113949647071
12191aa9a368
13b1cb7366b
1462444594c
15383ad8a85
hex21e487680

9098000000 has 112 divisors (see below), whose sum is σ = 22660842750. Its totient is φ = 3638400000.

The previous prime is 9097999993. The next prime is 9098000017. The reversal of 9098000000 is 8909.

It is a happy number.

It can be written as a sum of positive squares in 7 ways, for example, as 3738588736 + 5359411264 = 61144^2 + 73208^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 1997726 + ... + 2002274.

Almost surely, 29098000000 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 9098000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11330421375).

9098000000 is an abundant number, since it is smaller than the sum of its proper divisors (13562842750).

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

9098000000 is an frugal number, since it uses more digits than its factorization.

9098000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4593 (or 4556 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 26.

The square root of 9098000000 is about 95383.4367172834. The cubic root of 9098000000 is about 2087.6065180446.

Adding to 9098000000 its reverse (8909), we get a palindrome (9098008909).

The spelling of 9098000000 in words is "nine billion, ninety-eight million", and thus it is an aban number and an uban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 625 640 800 1000 1250 1600 2000 2500 3125 3200 4000 4549 5000 6250 8000 9098 10000 12500 15625 16000 18196 20000 22745 25000 31250 36392 40000 45490 50000 62500 72784 80000 90980 100000 113725 125000 145568 181960 200000 227450 250000 291136 363920 400000 454900 500000 568625 582272 727840 909800 1000000 1137250 1455680 1819600 2000000 2274500 2843125 2911360 3639200 4549000 5686250 7278400 9098000 11372500 14215625 14556800 18196000 22745000 28431250 36392000 45490000 56862500 71078125 72784000 90980000 113725000 142156250 181960000 227450000 284312500 363920000 454900000 568625000 909800000 1137250000 1819600000 2274500000 4549000000 9098000000