Search a number
-
+
449434627362 = 232732091111543
BaseRepresentation
bin1101000101001000110…
…01000010110100100010
31120222001212112122011100
412202210121002310202
524330420231033422
6542244543455230
744320260205020
oct6424431026442
91528055478140
10449434627362
11163671148636
127312a8b7516
13334c6217736
1417a777a1710
15ba568107ac
hex68a4642d22

449434627362 has 48 divisors (see below), whose sum is σ = 1113233546880. Its totient is φ = 128369762496.

The previous prime is 449434627361. The next prime is 449434627399. The reversal of 449434627362 is 263726434944.

449434627362 is a `hidden beast` number, since 4 + 4 + 9 + 4 + 3 + 4 + 627 + 3 + 6 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 449434627299 and 449434627308.

It is not an unprimeable number, because it can be changed into a prime (449434627361) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 151438 + ... + 960105.

It is an arithmetic number, because the mean of its divisors is an integer number (23192365560).

Almost surely, 2449434627362 is an apocalyptic number.

449434627362 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

449434627362 is an abundant number, since it is smaller than the sum of its proper divisors (663798919518).

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

449434627362 is a wasteful number, since it uses less digits than its factorization.

449434627362 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1114767 (or 1114764 counting only the distinct ones).

The product of its digits is 20901888, while the sum is 54.

The spelling of 449434627362 in words is "four hundred forty-nine billion, four hundred thirty-four million, six hundred twenty-seven thousand, three hundred sixty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 3209 6418 9627 19254 22463 28881 44926 57762 67389 134778 202167 404334 1111543 2223086 3334629 6669258 7780801 10003887 15561602 20007774 23342403 46684806 70027209 140054418 3566941487 7133882974 10700824461 21401648922 24968590409 32102473383 49937180818 64204946766 74905771227 149811542454 224717313681 449434627362