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13720269996 = 22333712492749
BaseRepresentation
bin11001100011100101…
…01011010010101100
31022102012002221011000
430301302223102230
5211044342114441
610145241000300
7664000241106
oct146162532254
938365087130
1013720269996
115900809a14
1227aaa83090
1313a868a374
1494229c576
155547ca2b6
hex331cab4ac

13720269996 has 96 divisors (see below), whose sum is σ = 36575000000. Its totient is φ = 4444637184.

The previous prime is 13720269989. The next prime is 13720270037. The reversal of 13720269996 is 69996202731.

13720269996 is a `hidden beast` number, since 1 + 372 + 0 + 269 + 9 + 9 + 6 = 666.

13720269996 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4989630 + ... + 4992378.

Almost surely, 213720269996 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13720269996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18287500000).

13720269996 is an abundant number, since it is smaller than the sum of its proper divisors (22854730004).

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

13720269996 is a wasteful number, since it uses less digits than its factorization.

13720269996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4048 (or 4040 counting only the distinct ones).

The product of its (nonzero) digits is 2204496, while the sum is 54.

The spelling of 13720269996 in words is "thirteen billion, seven hundred twenty million, two hundred sixty-nine thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 108 111 148 222 333 444 666 999 1249 1332 1998 2498 2749 3747 3996 4996 5498 7494 8247 10996 11241 14988 16494 22482 24741 32988 33723 44964 46213 49482 67446 74223 92426 98964 101713 134892 138639 148446 184852 203426 277278 296892 305139 406852 415917 554556 610278 831834 915417 1220556 1247751 1663668 1830834 2495502 2746251 3433501 3661668 4991004 5492502 6867002 10300503 10985004 13734004 20601006 30901509 41202012 61803018 92704527 123606036 127039537 185409054 254079074 370818108 381118611 508158148 762237222 1143355833 1524474444 2286711666 3430067499 4573423332 6860134998 13720269996