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252253520000 = 27543153169
BaseRepresentation
bin1110101011101101111…
…0110100000010000000
3220010002222111112101222
43222323132310002000
513113103400120000
6311514512214212
724140035353626
oct3527336640200
9803088445358
10252253520000
1197a86599179
1240a7b23a368
131aa30c0bb91
14c2cdc21516
156865aa8a85
hex3abb7b4080

252253520000 has 80 divisors (see below), whose sum is σ = 627969571350. Its totient is φ = 100901376000.

The previous prime is 252253519963. The next prime is 252253520021. The reversal of 252253520000 is 25352252.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 10811008576 + 241442511424 = 103976^2 + 491368^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1496585 + ... + 1656584.

Almost surely, 2252253520000 is an apocalyptic number.

252253520000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252253520000 is an abundant number, since it is smaller than the sum of its proper divisors (375716051350).

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

252253520000 is an frugal number, since it uses more digits than its factorization.

252253520000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3153203 (or 3153176 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 26.

Adding to 252253520000 its reverse (25352252), we get a palindrome (252278872252).

The spelling of 252253520000 in words is "two hundred fifty-two billion, two hundred fifty-three million, five hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 625 640 800 1000 1250 1600 2000 2500 3200 4000 5000 8000 10000 16000 20000 40000 80000 3153169 6306338 12612676 15765845 25225352 31531690 50450704 63063380 78829225 100901408 126126760 157658450 201802816 252253520 315316900 394146125 403605632 504507040 630633800 788292250 1009014080 1261267600 1576584500 1970730625 2018028160 2522535200 3153169000 3941461250 5045070400 6306338000 7882922500 10090140800 12612676000 15765845000 25225352000 31531690000 50450704000 63063380000 126126760000 252253520000