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20532003552 = 253375131643
BaseRepresentation
bin10011000111110011…
…011000001011100000
31221222220120211221000
4103013303120023200
5314022143103202
613233212032000
71324542102444
oct230763301340
957886524830
1020532003552
118786865185
123b90162600
131c22986938
14dcac0c824
1580280691c
hex4c7cd82e0

20532003552 has 96 divisors (see below), whose sum is σ = 59966645760. Its totient is φ = 6834672000.

The previous prime is 20532003551. The next prime is 20532003553. The reversal of 20532003552 is 25530023502.

It is an interprime number because it is at equal distance from previous prime (20532003551) and next prime (20532003553).

It is a tau number, because it is divible by the number of its divisors (96).

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 (20532003551) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 633043 + ... + 664685.

It is an arithmetic number, because the mean of its divisors is an integer number (624652560).

Almost surely, 220532003552 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 20532003552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29983322880).

20532003552 is an abundant number, since it is smaller than the sum of its proper divisors (39434642208).

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

20532003552 is a wasteful number, since it uses less digits than its factorization.

20532003552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32413 (or 32399 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 27.

The spelling of 20532003552 in words is "twenty billion, five hundred thirty-two million, three thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 751 864 1502 2253 3004 4506 6008 6759 9012 12016 13518 18024 20277 24032 27036 31643 36048 40554 54072 63286 72096 81108 94929 108144 126572 162216 189858 216288 253144 284787 324432 379716 506288 569574 648864 759432 854361 1012576 1139148 1518864 1708722 2278296 3037728 3417444 4556592 6834888 9113184 13669776 23763893 27339552 47527786 71291679 95055572 142583358 190111144 213875037 285166716 380222288 427750074 570333432 641625111 760444576 855500148 1140666864 1283250222 1711000296 2281333728 2566500444 3422000592 5133000888 6844001184 10266001776 20532003552