Search a number
-
+
464505506244 = 2232135527179579
BaseRepresentation
bin1101100001001101010…
…11111000100111000100
31122101222012001121101200
412300212223320213010
530102301402144434
6553220233022500
745362610441303
oct6604653704704
91571865047350
10464505506244
11169aa5280a3a
1276035b54a30
1334a5864c350
14186a719643a
15c139976199
hex6c26af89c4

464505506244 has 72 divisors (see below), whose sum is σ = 1264723037760. Its totient is φ = 142898116032.

The previous prime is 464505506243. The next prime is 464505506249. The reversal of 464505506244 is 442605505464.

464505506244 is a `hidden beast` number, since 4 + 6 + 4 + 50 + 550 + 6 + 2 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 464505506244.

It is not an unprimeable number, because it can be changed into a prime (464505506243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2496847 + ... + 2676425.

Almost surely, 2464505506244 is an apocalyptic number.

It is an amenable number.

464505506244 is an abundant number, since it is smaller than the sum of its proper divisors (800217531516).

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

464505506244 is a wasteful number, since it uses less digits than its factorization.

464505506244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185129 (or 185124 counting only the distinct ones).

The product of its (nonzero) digits is 2304000, while the sum is 45.

The spelling of 464505506244 in words is "four hundred sixty-four billion, five hundred five million, five hundred six thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 5527 11054 16581 22108 33162 49743 66324 71851 99486 143702 179579 198972 215553 287404 359158 431106 538737 646659 718316 862212 1077474 1293318 1616211 2154948 2334527 2586636 3232422 4669054 6464844 7003581 9338108 14007162 21010743 28014324 42021486 84042972 992533133 1985066266 2977599399 3970132532 5955198798 8932798197 11910397596 12902930729 17865596394 25805861458 35731192788 38708792187 51611722916 77417584374 116126376561 154835168748 232252753122 464505506244