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4250235792100 = 225229271092
BaseRepresentation
bin111101110110010101110…
…010110110101011100100
3120001022121020111001000011
4331312111302312223210
51024113440330321400
613012310435300004
7616032543101314
oct75662562665344
916038536431004
104250235792100
111399573334a21
1258788344a604
1324aa4599407c
141099d91ad444
157585984d8ba
hex3dd95cb6ae4

4250235792100 has 81 divisors (see below), whose sum is σ = 9553357113937. Its totient is φ = 1641239474560.

The previous prime is 4250235792097. The next prime is 4250235792113. The reversal of 4250235792100 is 12975320524.

The square root of 4250235792100 is 2061610.

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

It can be written as a sum of positive squares in 13 ways, for example, as 3946317333156 + 303918458944 = 1986534^2 + 551288^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 597863346 + ... + 597870454.

Almost surely, 24250235792100 is an apocalyptic number.

4250235792100 is the 2061610-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4250235792100

4250235792100 is an abundant number, since it is smaller than the sum of its proper divisors (5303121321837).

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

4250235792100 is an frugal number, since it uses more digits than its factorization.

4250235792100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14290 (or 7145 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 40.

The spelling of 4250235792100 in words is "four trillion, two hundred fifty billion, two hundred thirty-five million, seven hundred ninety-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 290 580 725 841 1450 1682 2900 3364 4205 7109 8410 14218 16820 21025 28436 35545 42050 71090 84100 142180 177725 206161 355450 412322 710900 824644 1030805 2061610 4123220 5154025 5978669 10308050 11957338 20616100 23914676 29893345 50537881 59786690 101075762 119573380 149466725 202151524 252689405 298933450 505378810 597866900 1010757620 1263447025 1465598549 2526894050 2931197098 5053788100 5862394196 7327992745 14655985490 29311970980 36639963725 42502357921 73279927450 85004715842 146559854900 170009431684 212511789605 425023579210 850047158420 1062558948025 2125117896050 4250235792100