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20531031552 = 29331978167
BaseRepresentation
bin10011000111101111…
…101010111000000000
31221222211202110121000
4103013233222320000
5314021421002202
613233135132000
71324530613563
oct230757527000
957884673530
1020531031552
118786260979
123b8b974000
131c227063a5
14dcaa384da
158026b391c
hex4c7beae00

20531031552 has 160 divisors (see below), whose sum is σ = 63972691200. Its totient is φ = 6483400704.

The previous prime is 20531031551. The next prime is 20531031611. The reversal of 20531031552 is 25513013502.

It is a happy number.

20531031552 is a `hidden beast` number, since 2 + 0 + 5 + 3 + 103 + 1 + 552 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20531031551) 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 15 ways as a sum of consecutive naturals, for example, 223573 + ... + 301739.

It is an arithmetic number, because the mean of its divisors is an integer number (399829320).

Almost surely, 220531031552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20531031552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31986345600).

20531031552 is an abundant number, since it is smaller than the sum of its proper divisors (43441659648).

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

20531031552 is an equidigital number, since it uses as much as digits as its factorization.

20531031552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78213 (or 78191 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The spelling of 20531031552 in words is "twenty billion, five hundred thirty-one million, thirty-one thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 96 108 114 128 144 152 171 192 216 228 256 288 304 342 384 432 456 512 513 576 608 684 768 864 912 1026 1152 1216 1368 1536 1728 1824 2052 2304 2432 2736 3456 3648 4104 4608 4864 5472 6912 7296 8208 9728 10944 13824 14592 16416 21888 29184 32832 43776 65664 78167 87552 131328 156334 234501 262656 312668 469002 625336 703503 938004 1250672 1407006 1485173 1876008 2110509 2501344 2814012 2970346 3752016 4221018 4455519 5002688 5628024 5940692 7504032 8442036 8911038 10005376 11256048 11881384 13366557 15008064 16884072 17822076 20010752 22512096 23762768 26733114 30016128 33768144 35644152 40021504 40099671 45024192 47525536 53466228 60032256 67536288 71288304 80199342 90048384 95051072 106932456 120064512 135072576 142576608 160398684 180096768 190102144 213864912 270145152 285153216 320797368 360193536 380204288 427729824 540290304 570306432 641594736 760408576 855459648 1080580608 1140612864 1283189472 1710919296 2281225728 2566378944 3421838592 5132757888 6843677184 10265515776 20531031552