Search a number
-
+
505706054014464 = 2932271450377587
BaseRepresentation
bin111001011111011111101110…
…1101101011101011000000000
32110022120000201101212222011120
41302332333131231131120000
51012240441444311430324
64551314053134112240
7211343025310006362
oct16276773555353000
92408500641788146
10505706054014464
11137151807841666
124887527a34b680
1318923b51223364
148cc4437176d32
153d6e89592e179
hex1cbefddb5d600

505706054014464 has 80 divisors (see below), whose sum is σ = 1353167480541888. Its totient is φ = 167826091231232.

The previous prime is 505706054014439. The next prime is 505706054014481. The reversal of 505706054014464 is 464410450607505.

It is a super-2 number, since 2×5057060540144642 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 724840122 + ... + 725537465.

Almost surely, 2505706054014464 is an apocalyptic number.

It is an amenable number.

505706054014464 is an abundant number, since it is smaller than the sum of its proper divisors (847461426527424).

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

505706054014464 is a wasteful number, since it uses less digits than its factorization.

505706054014464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1450377835 (or 1450377819 counting only the distinct ones).

The product of its (nonzero) digits is 8064000, while the sum is 51.

The spelling of 505706054014464 in words is "five hundred five trillion, seven hundred six billion, fifty-four million, fourteen thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 227 256 384 454 512 681 768 908 1362 1536 1816 2724 3632 5448 7264 10896 14528 21792 29056 43584 58112 87168 116224 174336 348672 1450377587 2900755174 4351132761 5801510348 8702265522 11603020696 17404531044 23206041392 34809062088 46412082784 69618124176 92824165568 139236248352 185648331136 278472496704 329235712249 371296662272 556944993408 658471424498 742593324544 987707136747 1113889986816 1316942848996 1975414273494 2227779973632 2633885697992 3950828546988 5267771395984 7901657093976 10535542791968 15803314187952 21071085583936 31606628375904 42142171167872 63213256751808 84284342335744 126426513503616 168568684671488 252853027007232 505706054014464