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20034524000 = 255319925169
BaseRepresentation
bin10010101010001001…
…101001001101100000
31220201020111021021102
4102222021221031200
5312012314232000
613112001213532
71306321433651
oct225211511540
956636437242
1020034524000
118550a6a457
123a716312a8
131b738a4b3a
14d80b11528
157c3cda3d5
hex4aa269360

20034524000 has 96 divisors (see below), whose sum is σ = 49474152000. Its totient is φ = 7973222400.

The previous prime is 20034523969. The next prime is 20034524033. The reversal of 20034524000 is 42543002.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 783416 + ... + 808584.

It is an arithmetic number, because the mean of its divisors is an integer number (515355750).

Almost surely, 220034524000 is an apocalyptic number.

20034524000 is a gapful number since it is divisible by the number (20) 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 20034524000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24737076000).

20034524000 is an abundant number, since it is smaller than the sum of its proper divisors (29439628000).

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

20034524000 is a wasteful number, since it uses less digits than its factorization.

20034524000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25393 (or 25375 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The spelling of 20034524000 in words is "twenty billion, thirty-four million, five hundred twenty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 199 200 250 398 400 500 796 800 995 1000 1592 1990 2000 3184 3980 4000 4975 6368 7960 9950 15920 19900 24875 25169 31840 39800 49750 50338 79600 99500 100676 125845 159200 199000 201352 251690 398000 402704 503380 629225 796000 805408 1006760 1258450 2013520 2516900 3146125 4027040 5008631 5033800 6292250 10017262 10067600 12584500 20034524 20135200 25043155 25169000 40069048 50086310 50338000 80138096 100172620 100676000 125215775 160276192 200345240 250431550 400690480 500863100 626078875 801380960 1001726200 1252157750 2003452400 2504315500 4006904800 5008631000 10017262000 20034524000