Search a number
-
+
9057549312 = 210327140401
BaseRepresentation
bin10000110111101111…
…10011110000000000
3212101020101011211100
420123313303300000
5122022213034222
64054434414400
7440311620210
oct103367636000
925336334740
109057549312
113928828949
121909431400
13b1467c946
1461cd16240
153802984ac
hex21bdf3c00

9057549312 has 132 divisors (see below), whose sum is σ = 29889900976. Its totient is φ = 2587852800.

The previous prime is 9057549311. The next prime is 9057549343. The reversal of 9057549312 is 2139457509.

It is a happy number.

9057549312 is a `hidden beast` number, since 9 + 0 + 575 + 49 + 31 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9057549311) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5689 + ... + 134712.

Almost surely, 29057549312 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 9057549312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14944950488).

9057549312 is an abundant number, since it is smaller than the sum of its proper divisors (20832351664).

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

9057549312 is a wasteful number, since it uses less digits than its factorization.

9057549312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140434 (or 140413 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The square root of 9057549312 is about 95171.1579839186. The cubic root of 9057549312 is about 2084.5080135866.

The spelling of 9057549312 in words is "nine billion, fifty-seven million, five hundred forty-nine thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 512 576 672 768 896 1008 1024 1152 1344 1536 1792 2016 2304 2688 3072 3584 4032 4608 5376 7168 8064 9216 10752 16128 21504 32256 64512 140401 280802 421203 561604 842406 982807 1123208 1263609 1684812 1965614 2246416 2527218 2948421 3369624 3931228 4492832 5054436 5896842 6739248 7862456 8845263 8985664 10108872 11793684 13478496 15724912 17690526 17971328 20217744 23587368 26956992 31449824 35381052 35942656 40435488 47174736 53913984 62899648 70762104 71885312 80870976 94349472 107827968 125799296 141524208 143770624 161741952 188698944 215655936 251598592 283048416 323483904 377397888 431311872 503197184 566096832 646967808 754795776 1006394368 1132193664 1293935616 1509591552 2264387328 3019183104 4528774656 9057549312