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996672414519 = 323111353235939
BaseRepresentation
bin11101000000011100100…
…11100010001100110111
310112021120210222120100100
432200032103202030313
5112312141114231034
62041510500445143
7132002320512435
oct16401623421467
93467523876310
10996672414519
1135476065a751
121411b36a97b3
1372ca7a78552
143634c529d55
151add4565099
hexe80e4e2337

996672414519 has 48 divisors (see below), whose sum is σ = 1499763133440. Its totient is φ = 637097045760.

The previous prime is 996672414503. The next prime is 996672414523. The reversal of 996672414519 is 915414276699.

996672414519 is a `hidden beast` number, since 9 + 9 + 6 + 6 + 72 + 41 + 4 + 519 = 666.

It is not a de Polignac number, because 996672414519 - 24 = 996672414503 is a prime.

It is a super-2 number, since 2×9966724145192 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (996672414319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 167815252 + ... + 167821190.

It is an arithmetic number, because the mean of its divisors is an integer number (31245065280).

Almost surely, 2996672414519 is an apocalyptic number.

996672414519 is a deficient number, since it is larger than the sum of its proper divisors (503090718921).

996672414519 is a wasteful number, since it uses less digits than its factorization.

With its successor (996672414520) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (11409).

With its successor (996672414520) it forms an eRAP, since the sums of their prime factors are consecutive (11412 and 11413).

996672414519 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11412 (or 11409 counting only the distinct ones).

The product of its digits is 29393280, while the sum is 63.

The spelling of 996672414519 in words is "nine hundred ninety-six billion, six hundred seventy-two million, four hundred fourteen thousand, five hundred nineteen".

Divisors: 1 3 9 31 93 113 279 339 1017 3503 5323 5939 10509 15969 17817 31527 47907 53451 165013 184109 495039 552327 601499 671107 1485117 1656981 1804497 2013321 5413491 6039963 18646469 20804317 31613297 55939407 62412951 94839891 167818221 187238853 284519673 980012207 2940036621 3572302561 8820109863 10716907683 32150723049 110741379391 332224138173 996672414519