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200425504000 = 285361102677
BaseRepresentation
bin1011101010101001001…
…0100111110100000000
3201011022222221112020211
42322222102213310000
511240432412112000
6232024010043504
720323505450311
oct2725222476400
9634288845224
10200425504000
1177aaaa766a7
1232a16119594
1315b915201a7
1499b4804608
1553309c47ba
hex2eaa4a7d00

200425504000 has 144 divisors (see below), whose sum is σ = 507474925776. Its totient is φ = 78855168000.

The previous prime is 200425503991. The next prime is 200425504001. The reversal of 200425504000 is 405524002.

It can be written as a sum of positive squares in 8 ways, for example, as 144850270464 + 55575233536 = 380592^2 + 235744^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200425504001) 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, 1900662 + ... + 2003338.

It is an arithmetic number, because the mean of its divisors is an integer number (3524131429).

Almost surely, 2200425504000 is an apocalyptic number.

200425504000 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 200425504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253737462888).

200425504000 is an abundant number, since it is smaller than the sum of its proper divisors (307049421776).

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

200425504000 is an equidigital number, since it uses as much as digits as its factorization.

200425504000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102769 (or 102745 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 22.

The spelling of 200425504000 in words is "two hundred billion, four hundred twenty-five million, five hundred four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 61 64 80 100 122 125 128 160 200 244 250 256 305 320 400 488 500 610 640 800 976 1000 1220 1280 1525 1600 1952 2000 2440 3050 3200 3904 4000 4880 6100 6400 7625 7808 8000 9760 12200 15250 15616 16000 19520 24400 30500 32000 39040 48800 61000 78080 97600 102677 122000 195200 205354 244000 390400 410708 488000 513385 821416 976000 1026770 1642832 1952000 2053540 2566925 3285664 4107080 5133850 6263297 6571328 8214160 10267700 12526594 12834625 13142656 16428320 20535400 25053188 25669250 26285312 31316485 32856640 41070800 50106376 51338500 62632970 65713280 82141600 100212752 102677000 125265940 131426560 156582425 164283200 200425504 205354000 250531880 313164850 328566400 400851008 410708000 501063760 626329700 657132800 782912125 801702016 821416000 1002127520 1252659400 1565824250 1603404032 1642832000 2004255040 2505318800 3131648500 3285664000 4008510080 5010637600 6263297000 8017020160 10021275200 12526594000 20042550400 25053188000 40085100800 50106376000 100212752000 200425504000