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4052335205200 = 245297104441629
BaseRepresentation
bin111010111110000010000…
…000000001101101010000
3112100101210012121120212111
4322332002000001231100
51012343140303031300
612341341143035104
7565525433625232
oct72760200015520
915311705546774
104052335205200
111322649640977
12555452a3ba94
132351975b8889
141001c3c64252
15706258779ba
hex3af82001b50

4052335205200 has 60 divisors (see below), whose sum is σ = 9836103830140. Its totient is φ = 1604223406080.

The previous prime is 4052335205183. The next prime is 4052335205203. The reversal of 4052335205200 is 25025332504.

It can be written as a sum of positive squares in 6 ways, for example, as 59899625536 + 3992435579664 = 244744^2 + 1998108^2 .

It is a super-2 number, since 2×40523352052002 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4052335205203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52182015 + ... + 52259614.

Almost surely, 24052335205200 is an apocalyptic number.

4052335205200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4052335205200 is an abundant number, since it is smaller than the sum of its proper divisors (5783768624940).

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

4052335205200 is a wasteful number, since it uses less digits than its factorization.

4052335205200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104441744 (or 104441733 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 31.

The spelling of 4052335205200 in words is "four trillion, fifty-two billion, three hundred thirty-five million, two hundred five thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 97 100 194 200 388 400 485 776 970 1552 1940 2425 3880 4850 7760 9700 19400 38800 104441629 208883258 417766516 522208145 835533032 1044416290 1671066064 2088832580 2611040725 4177665160 5222081450 8355330320 10130838013 10444162900 20261676026 20888325800 40523352052 41776651600 50654190065 81046704104 101308380130 162093408208 202616760260 253270950325 405233520520 506541900650 810467041040 1013083801300 2026167602600 4052335205200