Search a number
-
+
8955091152 = 2432753167623
BaseRepresentation
bin10000101011100001…
…11101100011010000
3212010002120202122200
420111300331203100
5121320000404102
64040334403200
7434626006320
oct102560754320
925102522580
108955091152
113885a08587
12189b060500
13ac9388307
1460d485280
153762aa51c
hex215c3d8d0

8955091152 has 120 divisors (see below), whose sum is σ = 29182667904. Its totient is φ = 2510307072.

The previous prime is 8955091127. The next prime is 8955091177. The reversal of 8955091152 is 2511905598.

8955091152 is a `hidden beast` number, since 8 + 9 + 550 + 91 + 1 + 5 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (8955091127) and next prime (8955091177).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 8955091098 and 8955091107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30388 + ... + 137235.

Almost surely, 28955091152 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 8955091152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14591333952).

8955091152 is an abundant number, since it is smaller than the sum of its proper divisors (20227576752).

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

8955091152 is a wasteful number, since it uses less digits than its factorization.

8955091152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167697 (or 167688 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 45.

The square root of 8955091152 is about 94631.3433910774. The cubic root of 8955091152 is about 2076.6182684107.

The spelling of 8955091152 in words is "eight billion, nine hundred fifty-five million, ninety-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 53 56 63 72 84 106 112 126 144 159 168 212 252 318 336 371 424 477 504 636 742 848 954 1008 1113 1272 1484 1908 2226 2544 2968 3339 3816 4452 5936 6678 7632 8904 13356 17808 26712 53424 167623 335246 502869 670492 1005738 1173361 1340984 1508607 2011476 2346722 2681968 3017214 3520083 4022952 4693444 6034428 7040166 8045904 8884019 9386888 10560249 12068856 14080332 17768038 18773776 21120498 24137712 26652057 28160664 35536076 42240996 53304114 56321328 62188133 71072152 79956171 84481992 106608228 124376266 142144304 159912342 168963984 186564399 213216456 248752532 319824684 373128798 426432912 497505064 559693197 639649368 746257596 995010128 1119386394 1279298736 1492515192 2238772788 2985030384 4477545576 8955091152