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4452522010000 = 2454211012
BaseRepresentation
bin100000011001010111011…
…1111100010010110010000
3120202122201220200121212121
41000302232333202112100
51040422231113310000
613245243235104024
7636453434425531
oct100625677422620
916678656617777
104452522010000
1114673386634a9
125bab18742014
13263b428411ac
14115708b72688
157ac48870b1a
hex40caefe2590

4452522010000 has 75 divisors (see below), whose sum is σ = 10780511938933. Its totient is φ = 1780924400000.

The previous prime is 4452522009889. The next prime is 4452522010003. The reversal of 4452522010000 is 102252544.

The square root of 4452522010000 is 2110100.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 4244308669584 + 208213340416 = 2060172^2 + 456304^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4452522010003) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 210999450 + ... + 211020550.

Almost surely, 24452522010000 is an apocalyptic number.

4452522010000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4452522010000 is the 2110100-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4452522010000

4452522010000 is an abundant number, since it is smaller than the sum of its proper divisors (6327989928933).

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

4452522010000 is an frugal number, since it uses more digits than its factorization.

4452522010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42230 (or 21108 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

Multiplying 4452522010000 by its sum of digits (25), we get a square (111313050250000 = 105505002).

4452522010000 divided by its sum of digits (25) gives a square (178100880400 = 4220202).

Adding to 4452522010000 its reverse (102252544), we get a palindrome (4452624262544).

The spelling of 4452522010000 in words is "four trillion, four hundred fifty-two billion, five hundred twenty-two million, ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000 21101 42202 84404 105505 168808 211010 337616 422020 527525 844040 1055050 1688080 2110100 2637625 4220200 5275250 8440400 10550500 13188125 21101000 26376250 42202000 52752500 105505000 211010000 445252201 890504402 1781008804 2226261005 3562017608 4452522010 7124035216 8905044020 11131305025 17810088040 22262610050 35620176080 44525220100 55656525125 89050440200 111313050250 178100880400 222626100500 278282625625 445252201000 556565251250 890504402000 1113130502500 2226261005000 4452522010000