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13956316355628 = 22333594792
BaseRepresentation
bin1100101100010111010101…
…0001110101110000101100
31211102012200200102220011000
43023011311101311300230
53312130013441340003
645403235423000300
72640211346452563
oct313056521656054
954365620386130
1013956316355628
1144a0927819059
1216949b2139090
137a30c898647a
143636bc97abda
15193080d311a3
hexcb175475c2c

13956316355628 has 36 divisors (see below), whose sum is σ = 36183143057880. Its totient is φ = 4652092510632.

The previous prime is 13956316355587. The next prime is 13956316355629. The reversal of 13956316355628 is 82655361365931.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

13956316355628 is a `hidden beast` number, since 1 + 3 + 9 + 5 + 6 + 3 + 1 + 63 + 5 + 562 + 8 = 666.

13956316355628 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (13956316355629) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38643993 + ... + 39003471.

Almost surely, 213956316355628 is an apocalyptic number.

13956316355628 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13956316355628 is an abundant number, since it is smaller than the sum of its proper divisors (22226826702252).

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

13956316355628 is an frugal number, since it uses more digits than its factorization.

13956316355628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 718971 (or 359484 counting only the distinct ones).

The product of its digits is 104976000, while the sum is 63.

The spelling of 13956316355628 in words is "thirteen trillion, nine hundred fifty-six billion, three hundred sixteen million, three hundred fifty-five thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 359479 718958 1078437 1437916 2156874 3235311 4313748 6470622 9705933 12941244 19411866 38823732 129225151441 258450302882 387675454323 516900605764 775350908646 1163026362969 1550701817292 2326052725938 3489079088907 4652105451876 6978158177814 13956316355628