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20531313144 = 23323161150797
BaseRepresentation
bin10011000111110000…
…101111100111111000
31221222212021202212100
4103013300233213320
5314022004010034
613233145143400
71324533165546
oct230760574770
957885252770
1020531313144
1187864334a1
123b8ba8ab60
131c227a4604
14dcaaacd96
1580271c099
hex4c7c2f9f8

20531313144 has 96 divisors (see below), whose sum is σ = 58340730240. Its totient is φ = 6514387200.

The previous prime is 20531313137. The next prime is 20531313191. The reversal of 20531313144 is 44131313502.

It is a happy number.

20531313144 is a `hidden beast` number, since 205 + 3 + 1 + 313 + 144 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60754 + ... + 211550.

It is an arithmetic number, because the mean of its divisors is an integer number (607715940).

Almost surely, 220531313144 is an apocalyptic number.

20531313144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20531313144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29170365120).

20531313144 is an abundant number, since it is smaller than the sum of its proper divisors (37809417096).

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

20531313144 is a wasteful number, since it uses less digits than its factorization.

20531313144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150901 (or 150894 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 20531313144 its reverse (44131313502), we get a palindrome (64662626646).

The spelling of 20531313144 in words is "twenty billion, five hundred thirty-one million, three hundred thirteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 61 62 72 93 122 124 183 186 244 248 279 366 372 488 549 558 732 744 1098 1116 1464 1891 2196 2232 3782 4392 5673 7564 11346 15128 17019 22692 34038 45384 68076 136152 150797 301594 452391 603188 904782 1206376 1357173 1809564 2714346 3619128 4674707 5428692 9198617 9349414 10857384 14024121 18397234 18698828 27595851 28048242 36794468 37397656 42072363 55191702 56096484 73588936 82787553 84144726 110383404 112192968 165575106 168289452 220766808 285157127 331150212 336578904 570314254 662300424 855471381 1140628508 1710942762 2281257016 2566414143 3421885524 5132828286 6843771048 10265656572 20531313144