Search a number
-
+
452540430355332 = 2231137147476283159
BaseRepresentation
bin110011011100101010100011…
…1100110010000101110000100
32012100022102221200022210112010
41212321111013212100232010
5433303410300132332312
64242250111555254220
7164214652506162234
oct14671250746205604
92170272850283463
10452540430355332
1112121435625a370
124290944a5aa370
13165684c1914627
147da7106319cc4
15374b93604393c
hex19b9547990b84

452540430355332 has 96 divisors (see below), whose sum is σ = 1183134509706240. Its totient is φ = 133418084929920.

The previous prime is 452540430355303. The next prime is 452540430355361. The reversal of 452540430355332 is 233553034045254.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (452540430355303) and next prime (452540430355361).

It is a super-2 number, since 2×4525404303553322 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68882769 + ... + 75165927.

It is an arithmetic number, because the mean of its divisors is an integer number (12324317809440).

Almost surely, 2452540430355332 is an apocalyptic number.

It is an amenable number.

452540430355332 is an abundant number, since it is smaller than the sum of its proper divisors (730594079350908).

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

452540430355332 is a wasteful number, since it uses less digits than its factorization.

452540430355332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6297961 (or 6297959 counting only the distinct ones).

The product of its (nonzero) digits is 12960000, while the sum is 48.

The spelling of 452540430355332 in words is "four hundred fifty-two trillion, five hundred forty billion, four hundred thirty million, three hundred fifty-five thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 37 44 66 74 111 132 148 222 407 444 814 1221 1628 2442 4884 14747 29494 44241 58988 88482 162217 176964 324434 486651 545639 648868 973302 1091278 1636917 1946604 2182556 3273834 6002029 6283159 6547668 12004058 12566318 18006087 18849477 24008116 25132636 36012174 37698954 69114749 72024348 75397908 138229498 207344247 232476883 276458996 414688494 464953766 697430649 829376988 929907532 1394861298 2557245713 2789722596 5114491426 7671737139 10228982852 15343474278 30686948556 92657745773 185315491546 277973237319 370630983092 555946474638 1019235203503 1111892949276 2038470407006 3057705610509 3428336593601 4076940814012 6115411221018 6856673187202 10285009780803 12230822442036 13713346374404 20570019561606 37711702529611 41140039123212 75423405059222 113135107588833 150846810118444 226270215177666 452540430355332