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20338426171872 = 253270619535319
BaseRepresentation
bin1001001111111011010001…
…01010101101000111100000
32200000100000220000022120200
410213331220222231013200
510131211044044444442
6111131202145305200
74166255106020664
oct447755052550740
980010026008520
1020338426171872
116531529396a76
122345881935200
13b46ba00c3843
1450455692a8a4
152540b0c9c34c
hex127f68aad1e0

20338426171872 has 36 divisors (see below), whose sum is σ = 57837399427080. Its totient is φ = 6779475390528.

The previous prime is 20338426171769. The next prime is 20338426171883. The reversal of 20338426171872 is 27817162483302.

It is a happy number.

20338426171872 is a `hidden beast` number, since 2 + 0 + 3 + 3 + 8 + 4 + 2 + 617 + 18 + 7 + 2 = 666.

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

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 35309767372 + ... + 35309767947.

It is an arithmetic number, because the mean of its divisors is an integer number (1606594428530).

Almost surely, 220338426171872 is an apocalyptic number.

It is an amenable number.

20338426171872 is an abundant number, since it is smaller than the sum of its proper divisors (37498973255208).

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

20338426171872 is a wasteful number, since it uses less digits than its factorization.

20338426171872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70619535335 (or 70619535324 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 20338426171872 in words is "twenty trillion, three hundred thirty-eight billion, four hundred twenty-six million, one hundred seventy-one thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 70619535319 141239070638 211858605957 282478141276 423717211914 564956282552 635575817871 847434423828 1129912565104 1271151635742 1694868847656 2259825130208 2542303271484 3389737695312 5084606542968 6779475390624 10169213085936 20338426171872