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5343756201 = 3272594
BaseRepresentation
bin1001111101000001…
…10011111110101001
3111210102012221102100
410332200303332221
541421000144301
62242131124013
7246265115100
oct47640637651
914712187370
105343756201
1122a2458143
121051743609
13672139b24
143899c5037
1521420a286
hex13e833fa9

5343756201 has 45 divisors (see below), whose sum is σ = 9133774221. Its totient is φ = 3001819464.

The previous prime is 5343756179. The next prime is 5343756239. The reversal of 5343756201 is 1026573435.

The square root of 5343756201 is 73101.

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

5343756201 is a `hidden beast` number, since 53 + 43 + 7 + 562 + 0 + 1 = 666.

It is not a de Polignac number, because 5343756201 - 27 = 5343756073 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (5343756241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 90572110 + ... + 90572168.

Almost surely, 25343756201 is an apocalyptic number.

5343756201 is the 73101-st square number.

5343756201 is the 36551-st centered octagonal number.

It is an amenable number.

5343756201 is a deficient number, since it is larger than the sum of its proper divisors (3790018020).

5343756201 is an frugal number, since it uses more digits than its factorization.

5343756201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The cubic root of 5343756201 is about 1748.2983405488.

Multiplying 5343756201 by its sum of digits (36), we get a square (192375223236 = 4386062).

The spelling of 5343756201 in words is "five billion, three hundred forty-three million, seven hundred fifty-six thousand, two hundred one".

Divisors: 1 3 7 9 21 49 59 63 147 177 413 441 531 1239 2891 3481 3717 8673 10443 24367 26019 31329 73101 170569 205379 219303 511707 616137 1437653 1535121 1848411 4312959 10063571 12117361 12938877 30190713 36352083 84821527 90572139 109056249 254464581 593750689 763393743 1781252067 5343756201