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503146166242312 = 231923728116756717
BaseRepresentation
bin111001001100110111101100…
…0100000100100110000001000
32102222111022012102102100212201
41302121233120200210300020
51011422021322024223222
64542034054031045544
7210660053020655065
oct16231573040446010
92388438172370781
10503146166242312
111363550aa93980a
12485211210708b4
1318799631419468
148c365938a5c6c
153d27ebe388427
hex1c99bd8824c08

503146166242312 has 96 divisors (see below), whose sum is σ = 1026213918352920. Its totient is φ = 231065729879040.

The previous prime is 503146166242303. The next prime is 503146166242337. The reversal of 503146166242312 is 213242661641305.

It can be written as a sum of positive squares in 4 ways, for example, as 502269684567876 + 876481674436 = 22411374^2 + 936206^2 .

It is a super-2 number, since 2×5031461662423122 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21648178 + ... + 38404894.

Almost surely, 2503146166242312 is an apocalyptic number.

It is an amenable number.

503146166242312 is an abundant number, since it is smaller than the sum of its proper divisors (523067752110608).

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

503146166242312 is a wasteful number, since it uses less digits than its factorization.

503146166242312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16757079 (or 16757056 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 46.

The spelling of 503146166242312 in words is "five hundred three trillion, one hundred forty-six billion, one hundred sixty-six million, two hundred forty-two thousand, three hundred twelve".

Divisors: 1 2 4 8 19 37 38 74 76 148 152 281 296 361 562 703 722 1124 1406 1444 2248 2812 2888 5339 5624 10397 10678 13357 20794 21356 26714 41588 42712 53428 83176 101441 106856 197543 202882 395086 405764 790172 811528 1580344 3753317 7506634 15013268 16756717 30026536 33513434 67026868 134053736 318377623 619998529 636755246 1239997058 1273510492 2479994116 2547020984 4708637477 4959988232 6049174837 9417274954 11779972051 12098349674 18834549908 23559944102 24196699348 37669099816 47119888204 48393398696 89464112063 94239776408 174219586649 178928224126 223819468969 348439173298 357856448252 447638937938 696878346596 715712896504 895277875876 1393756693192 1699818129197 1790555751752 3310172146331 3399636258394 6620344292662 6799272516788 13240688585324 13598545033576 26481377170648 62893270780289 125786541560578 251573083121156 503146166242312