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505534311513 = 3371119101126713
BaseRepresentation
bin1110101101101000011…
…00010110110001011001
31210022212112222212102000
413112310030112301121
531240313240432023
61024123402431213
751344416514340
oct7266414266131
91708775885360
10505534311513
11185439a37670
1281b86502509
13388968b600a
141a67a24cb57
15d23b92e243
hex75b4316c59

505534311513 has 128 divisors (see below), whose sum is σ = 992626790400. Its totient is φ = 246328128000.

The previous prime is 505534311511. The next prime is 505534311517. The reversal of 505534311513 is 315113435505.

505534311513 is a `hidden beast` number, since 5 + 0 + 5 + 534 + 3 + 115 + 1 + 3 = 666.

It is not a de Polignac number, because 505534311513 - 21 = 505534311511 is a prime.

It is not an unprimeable number, because it can be changed into a prime (505534311511) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3926245 + ... + 4052957.

It is an arithmetic number, because the mean of its divisors is an integer number (7754896800).

Almost surely, 2505534311513 is an apocalyptic number.

It is an amenable number.

505534311513 is a deficient number, since it is larger than the sum of its proper divisors (487092478887).

505534311513 is a wasteful number, since it uses less digits than its factorization.

505534311513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126860 (or 126854 counting only the distinct ones).

The product of its (nonzero) digits is 67500, while the sum is 36.

The spelling of 505534311513 in words is "five hundred five billion, five hundred thirty-four million, three hundred eleven thousand, five hundred thirteen".

Divisors: 1 3 7 9 11 19 21 27 33 57 63 77 99 101 133 171 189 209 231 297 303 399 513 627 693 707 909 1111 1197 1463 1881 1919 2079 2121 2727 3333 3591 4389 5643 5757 6363 7777 9999 13167 13433 17271 19089 21109 23331 29997 39501 40299 51813 63327 69993 120897 126713 147763 189981 209979 362691 380139 443289 569943 886991 1140417 1329867 1393843 2407547 2660973 3421251 3989601 4181529 7222641 7982919 9756901 12544587 12798013 16852829 21667923 23948757 26483017 29270703 37633761 38394039 50558487 65003769 79449051 87812109 89586091 115182117 140778143 151675461 185381119 238347153 243162247 263436327 268758273 345546351 422334429 455026383 556143357 715041459 729486741 806274819 985447001 1267003287 1668430071 1702135729 2188460223 2418824457 2674784717 2956341003 3801009861 5005290213 5106407187 6565380669 8024354151 8869023009 15319221561 18723493019 24073062453 26607069027 45957664683 56170479057 72219187359 168511437171 505534311513