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13420636002 = 2323124318043
BaseRepresentation
bin11000111111110111…
…01010011101100010
31021122022021221120200
430133323222131202
5204441140323002
610055414450030
7653401344444
oct143773523542
937568257520
1013420636002
115767665514
122726663916
13135b58a047
14914582494
1553833eb1c
hex31feea762

13420636002 has 72 divisors (see below), whose sum is σ = 30746759472. Its totient is φ = 4228323120.

The previous prime is 13420635989. The next prime is 13420636027. The reversal of 13420636002 is 20063602431.

13420636002 is a `hidden beast` number, since 1 + 3 + 4 + 20 + 636 + 0 + 0 + 2 = 666.

It is a super-2 number, since 2×134206360022 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 734793 + ... + 752835.

It is an arithmetic number, because the mean of its divisors is an integer number (427038326).

Almost surely, 213420636002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13420636002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15373379736).

13420636002 is an abundant number, since it is smaller than the sum of its proper divisors (17326123470).

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

13420636002 is a wasteful number, since it uses less digits than its factorization.

13420636002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18156 (or 18122 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The spelling of 13420636002 in words is "thirteen billion, four hundred twenty million, six hundred thirty-six thousand, two".

Divisors: 1 2 3 6 9 18 31 43 62 86 93 129 186 258 279 387 558 774 961 1333 1922 2666 2883 3999 5766 7998 8649 11997 17298 18043 23994 36086 41323 54129 82646 108258 123969 162387 247938 324774 371907 559333 743814 775849 1118666 1551698 1677999 2327547 3355998 4655094 5033997 6982641 10067994 13965282 17339323 24051319 34678646 48102638 52017969 72153957 104035938 144307914 156053907 216461871 312107814 432923742 745590889 1491181778 2236772667 4473545334 6710318001 13420636002