Search a number
-
+
455012267072 = 261115131113763
BaseRepresentation
bin1101001111100001101…
…10000011010001000000
31121111110120212002102212
412213300312003101000
524423331120021242
6545010232001252
744605425312206
oct6476066032100
91544416762385
10455012267072
11165a73620930
1274226830228
1333ba494336c
1418046469076
15bc81319782
hex69f0d83440

455012267072 has 112 divisors (see below), whose sum is σ = 994781758464. Its totient is φ = 204778560000.

The previous prime is 455012267069. The next prime is 455012267113. The reversal of 455012267072 is 270762210554.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33053663 + ... + 33067425.

Almost surely, 2455012267072 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 455012267072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497390879232).

455012267072 is an abundant number, since it is smaller than the sum of its proper divisors (539769491392).

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

455012267072 is a wasteful number, since it uses less digits than its factorization.

455012267072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14248 (or 14238 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 41.

The spelling of 455012267072 in words is "four hundred fifty-five billion, twelve million, two hundred sixty-seven thousand, seventy-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 151 176 302 311 352 604 622 704 1208 1244 1661 2416 2488 3322 3421 4832 4976 6644 6842 9664 9952 13288 13684 13763 19904 26576 27368 27526 46961 53152 54736 55052 93922 106304 109472 110104 151393 187844 218944 220208 302786 375688 440416 516571 605572 751376 880832 1033142 1211144 1502752 2066284 2078213 2422288 3005504 4132568 4156426 4280293 4844576 8265136 8312852 8560586 9689152 16530272 16625704 17121172 22860343 33060544 33251408 34242344 45720686 47083223 66502816 68484688 91441372 94166446 133005632 136969376 182882744 188332892 273938752 365765488 376665784 646324243 731530976 753331568 1292648486 1463061952 1506663136 2585296972 3013326272 5170593944 7109566673 10341187888 14219133346 20682375776 28438266692 41364751552 56876533384 113753066768 227506133536 455012267072