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49676366367693 = 321311325735174157
BaseRepresentation
bin10110100101110001011100…
…01010111100101111001101
320111220000101101101022200200
423102320232022330233031
523002344144242231233
6253353001353244113
713314666445062402
oct1322705612745715
9214800341338620
1049676366367693
11149126a083306a
1256a3742703639
1321945cc492270
14c3a4c57982a9
155b22e272d313
hex2d2e2e2bcbcd

49676366367693 has 96 divisors (see below), whose sum is σ = 78302614886496. Its totient is φ = 30165802942464.

The previous prime is 49676366367659. The next prime is 49676366367763. The reversal of 49676366367693 is 39676366367694.

49676366367693 is a `hidden beast` number, since 4 + 9 + 6 + 76 + 366 + 36 + 76 + 93 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 4764628936809 + 44911737430884 = 2182803^2 + 6701622^2 .

It is not a de Polignac number, because 49676366367693 - 220 = 49676365319117 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49676366360693) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11950049971 + ... + 11950054127.

It is an arithmetic number, because the mean of its divisors is an integer number (815652238401).

Almost surely, 249676366367693 is an apocalyptic number.

It is an amenable number.

49676366367693 is a deficient number, since it is larger than the sum of its proper divisors (28626248518803).

49676366367693 is a wasteful number, since it uses less digits than its factorization.

49676366367693 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8063 (or 8060 counting only the distinct ones).

The product of its digits is 19999187712, while the sum is 81.

Subtracting from 49676366367693 its reverse (39676366367694), we obtain a palindrome (9999999999999).

The spelling of 49676366367693 in words is "forty-nine trillion, six hundred seventy-six billion, three hundred sixty-six million, three hundred sixty-seven thousand, six hundred ninety-three".

Divisors: 1 3 9 13 39 113 117 257 339 771 1017 1469 2313 3341 3517 4157 4407 10023 10551 12471 13221 29041 30069 31653 37413 45721 54041 87123 137163 162123 261369 377533 397421 411489 469741 486369 903869 1068349 1132599 1192263 1409223 2711607 3205047 3397797 3576789 4227669 5166473 6106633 8134821 9615141 11750297 13888537 14620169 15499419 18319899 35250891 41665611 43860507 46498257 54959697 102137197 105752673 120723437 124996833 131581521 190062197 306411591 362170311 570186591 919234773 1086510933 1327783561 1569404681 1652079097 1710559773 3757383433 3983350683 4708214043 4956237291 11272150299 11950052049 14124642129 14868711873 21477028261 33816450897 48845984629 64431084783 146537953887 193293254349 424584327929 439613861661 1273752983787 3821258951361 5519596263077 16558788789231 49676366367693