Search a number
-
+
9954479325184 = 2141574
BaseRepresentation
bin1001000011011011010100…
…1101000100000000000000
31022020122020210001101012021
42100312311031010000000
52301043233201401214
633101005155011224
72045121164112532
oct220666515040000
938218223041167
109954479325184
113198742080309
1211492b2b99b14
1357291b403994
14265b29685852
15123e13955924
hex90db5344000

9954479325184 has 75 divisors (see below), whose sum is σ = 20035968712067. Its totient is φ = 4945537499136.

The previous prime is 9954479325173. The next prime is 9954479325221. The reversal of 9954479325184 is 4815239744599.

The square root of 9954479325184 is 3155072.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 1704257142784 + 8250222182400 = 1305472^2 + 2872320^2 .

It is an ABA number since it can be written as A⋅BA, here for A=4, B=1256.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 4 ways as a sum of consecutive naturals, for example, 63404326834 + ... + 63404326990.

Almost surely, 29954479325184 is an apocalyptic number.

9954479325184 is the 3155072-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9954479325184

9954479325184 is an abundant number, since it is smaller than the sum of its proper divisors (10081489386883).

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

9954479325184 is an frugal number, since it uses more digits than its factorization.

9954479325184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 656 (or 159 counting only the distinct ones).

The product of its digits is 391910400, while the sum is 70.

The spelling of 9954479325184 in words is "nine trillion, nine hundred fifty-four billion, four hundred seventy-nine million, three hundred twenty-five thousand, one hundred eighty-four".

Divisors: 1 2 4 8 16 32 64 128 157 256 314 512 628 1024 1256 2048 2512 4096 5024 8192 10048 16384 20096 24649 40192 49298 80384 98596 160768 197192 321536 394384 643072 788768 1286144 1577536 2572288 3155072 3869893 6310144 7739786 12620288 15479572 25240576 30959144 50481152 61918288 100962304 123836576 201924608 247673152 403849216 495346304 607573201 990692608 1215146402 1981385216 2430292804 3962770432 4860585608 7925540864 9721171216 15851081728 19442342432 31702163456 38884684864 63404326912 77769369728 155538739456 311077478912 622154957824 1244309915648 2488619831296 4977239662592 9954479325184