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3542865062500 = 225675292
BaseRepresentation
bin110011100011100011001…
…101101010101001100100
3110112200202100122210002001
4303203203031222221210
5431021241424000000
611311323021455044
7513651333103231
oct63434315525144
913480670583061
103542865062500
11114657aa69065
1249276a411484
131c912448a78a
14c3693006788
156225864b46a
hex338e336aa64

3542865062500 has 63 divisors (see below), whose sum is σ = 7750947603007. Its totient is φ = 1416957800000.

The previous prime is 3542865062461. The next prime is 3542865062501. The reversal of 3542865062500 is 52605682453.

The square root of 3542865062500 is 1882250.

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

3542865062500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 10 ways, for example, as 2418230264356 + 1124634798144 = 1555066^2 + 1060488^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3542865062501) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 470558736 + ... + 470566264.

Almost surely, 23542865062500 is an apocalyptic number.

3542865062500 is the 1882250-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3542865062500

3542865062500 is an abundant number, since it is smaller than the sum of its proper divisors (4208082540507).

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

3542865062500 is an frugal number, since it uses more digits than its factorization.

3542865062500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15092 (or 7536 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 46.

The spelling of 3542865062500 in words is "three trillion, five hundred forty-two billion, eight hundred sixty-five million, sixty-two thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 500 625 1250 2500 3125 6250 7529 12500 15058 15625 30116 31250 37645 62500 75290 150580 188225 376450 752900 941125 1882250 3764500 4705625 9411250 18822500 23528125 47056250 56685841 94112500 113371682 117640625 226743364 235281250 283429205 470562500 566858410 1133716820 1417146025 2834292050 5668584100 7085730125 14171460250 28342920500 35428650625 70857301250 141714602500 177143253125 354286506250 708573012500 885716265625 1771432531250 3542865062500