Search a number
-
+
9190158336 = 212321913121
BaseRepresentation
bin10001000111100011…
…01011000000000000
3212201110220102012200
420203301223000000
5122310140031321
64115532553200
7443512025352
oct104361530000
925643812180
109190158336
113996671a87
121945922800
13b35c9cb18
146327950d2
1538bc3ed26
hex223c6b000

9190158336 has 156 divisors (see below), whose sum is σ = 27945398520. Its totient is φ = 2901934080.

The previous prime is 9190158293. The next prime is 9190158361. The reversal of 9190158336 is 6338510919.

It is a junction number, because it is equal to n+sod(n) for n = 9190158291 and 9190158300.

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 11 ways as a sum of consecutive naturals, for example, 693856 + ... + 706976.

It is an arithmetic number, because the mean of its divisors is an integer number (179137170).

Almost surely, 29190158336 is an apocalyptic number.

9190158336 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 9190158336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13972699260).

9190158336 is an abundant number, since it is smaller than the sum of its proper divisors (18755240184).

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

9190158336 is a wasteful number, since it uses less digits than its factorization.

9190158336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13170 (or 13145 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The square root of 9190158336 is about 95865.3135184984. The cubic root of 9190158336 is about 2094.6316652226.

The spelling of 9190158336 in words is "nine billion, one hundred ninety million, one hundred fifty-eight thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 128 144 152 171 192 228 256 288 304 342 384 456 512 576 608 684 768 912 1024 1152 1216 1368 1536 1824 2048 2304 2432 2736 3072 3648 4096 4608 4864 5472 6144 7296 9216 9728 10944 12288 13121 14592 18432 19456 21888 26242 29184 36864 38912 39363 43776 52484 58368 77824 78726 87552 104968 116736 118089 157452 175104 209936 233472 236178 249299 314904 350208 419872 472356 498598 629808 700416 747897 839744 944712 997196 1259616 1495794 1679488 1889424 1994392 2243691 2519232 2991588 3358976 3778848 3988784 4487382 5038464 5983176 6717952 7557696 7977568 8974764 10076928 11966352 13435904 15115392 15955136 17949528 20153856 23932704 26871808 30230784 31910272 35899056 40307712 47865408 53743616 60461568 63820544 71798112 80615424 95730816 120923136 127641088 143596224 161230848 191461632 241846272 255282176 287192448 382923264 483692544 510564352 574384896 765846528 1021128704 1148769792 1531693056 2297539584 3063386112 4595079168 9190158336