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505144044216 = 233274323308603
BaseRepresentation
bin1110101100111001110…
…11100110101010111000
31210021212100122020022200
413112130323212222320
531234013333403331
61024020541550200
751331640346660
oct7263473465270
91707770566280
10505144044216
1118525970a009
1281a97875360
1338833aa1716
141a64049d1a0
15d21753e5e6
hex759cee6ab8

505144044216 has 96 divisors (see below), whose sum is σ = 1599902578560. Its totient is φ = 140970424896.

The previous prime is 505144044191. The next prime is 505144044253. The reversal of 505144044216 is 612440441505.

505144044216 is a `hidden beast` number, since 50 + 514 + 40 + 4 + 42 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 11632630 + ... + 11675973.

It is an arithmetic number, because the mean of its divisors is an integer number (16665651860).

Almost surely, 2505144044216 is an apocalyptic number.

505144044216 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

505144044216 is an abundant number, since it is smaller than the sum of its proper divisors (1094758534344).

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

505144044216 is a wasteful number, since it uses less digits than its factorization.

505144044216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23308665 (or 23308658 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 505144044216 in words is "five hundred five billion, one hundred forty-four million, forty-four thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 43 56 63 72 84 86 126 129 168 172 252 258 301 344 387 504 516 602 774 903 1032 1204 1548 1806 2408 2709 3096 3612 5418 7224 10836 21672 23308603 46617206 69925809 93234412 139851618 163160221 186468824 209777427 279703236 326320442 419554854 489480663 559406472 652640884 839109708 978961326 1002269929 1305281768 1468441989 1678219416 1957922652 2004539858 2936883978 3006809787 3915845304 4009079716 5873767956 6013619574 7015889503 8018159432 9020429361 11747535912 12027239148 14031779006 18040858722 21047668509 24054478296 28063558012 36081717444 42095337018 56127116024 63143005527 72163434888 84190674036 126286011054 168381348072 252572022108 505144044216