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20004356661531 = 31117534451151157
BaseRepresentation
bin1001000110001101000001…
…00100101010000100011011
32121211101202000021211202020
410203012200210222010123
510110222410301132111
6110313512524305523
74133160415025664
oct443064044520433
977741660254666
1020004356661531
116412888906360
1222b0b8a6a22a3
13b21530a81778
144d2304ad436b
1524a55c5ad906
hex1231a092a11b

20004356661531 has 64 divisors (see below), whose sum is σ = 31397407888896. Its totient is φ = 11192799488000.

The previous prime is 20004356661517. The next prime is 20004356661551. The reversal of 20004356661531 is 13516665340002.

It is not a de Polignac number, because 20004356661531 - 26 = 20004356661467 is a prime.

It is a super-3 number, since 3×200043566615313 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (20004356661551) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 132266005 + ... + 132417161.

It is an arithmetic number, because the mean of its divisors is an integer number (490584498264).

Almost surely, 220004356661531 is an apocalyptic number.

20004356661531 is a deficient number, since it is larger than the sum of its proper divisors (11393051227365).

20004356661531 is a wasteful number, since it uses less digits than its factorization.

20004356661531 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155692.

The product of its (nonzero) digits is 388800, while the sum is 42.

The spelling of 20004356661531 in words is "twenty trillion, four billion, three hundred fifty-six million, six hundred sixty-one thousand, five hundred thirty-one".

Divisors: 1 3 11 17 33 51 53 159 187 561 583 901 1749 2703 4451 9911 13353 29733 48961 75667 146883 151157 227001 235903 453471 707709 832337 1662727 2497011 2569669 2594933 4010351 4988181 7709007 7784799 8011321 12031053 24033963 28266359 44113861 84799077 88124531 132341583 136192457 264373593 408577371 672799807 1498117027 2018399421 4494351081 7400797877 11437596719 22202393631 34312790157 35658389771 106975169313 125813563909 377440691727 392242287481 606192626107 1176726862443 1818577878321 6668118887177 20004356661531