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20257255921919 = 3171149346317837
BaseRepresentation
bin1001001101100100000101…
…00010110001100011111111
32122201120111222212101102212
410212302002202301203333
510123343330004000134
6111030015505211035
74160352454205642
oct446620242614377
978646458771385
1020257255921919
116500065953875
122331baa030a7b
13b3c3356b2843
145006565a7a59
15251e0ebbcbce
hex126c828b18ff

20257255921919 has 32 divisors (see below), whose sum is σ = 21354911539200. Its totient is φ = 19191350505600.

The previous prime is 20257255921867. The next prime is 20257255921933. The reversal of 20257255921919 is 91912955275202.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-20257255921919 is a prime.

It is a super-2 number, since 2×202572559219192 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20257255921999) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1135678469 + ... + 1135696305.

It is an arithmetic number, because the mean of its divisors is an integer number (667340985600).

Almost surely, 220257255921919 is an apocalyptic number.

20257255921919 is a deficient number, since it is larger than the sum of its proper divisors (1097655617281).

20257255921919 is a wasteful number, since it uses less digits than its factorization.

20257255921919 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21551.

The product of its (nonzero) digits is 10206000, while the sum is 59.

The spelling of 20257255921919 in words is "twenty trillion, two hundred fifty-seven billion, two hundred fifty-five million, nine hundred twenty-one thousand, nine hundred nineteen".

Divisors: 1 31 71 149 2201 3463 4619 10579 17837 107353 245873 327949 515987 552947 1266427 2657713 7622063 15995597 36635077 39259237 61769531 82389103 188697623 1135687387 1914855461 4385636701 5849626313 9203660119 135954737731 285313463689 653459868449 20257255921919