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5056819201 = 7171919711353
BaseRepresentation
bin1001011010110100…
…01111000000000001
3111001102022000212001
410231122033000001
540324021203301
62153441104001
7236212153060
oct45532170001
914042260761
105056819201
112165496125
12b91628001
13627863b15
1435d8521d7
151e8e2bc01
hex12d68f001

5056819201 has 32 divisors (see below), whose sum is σ = 6474504960. Its totient is φ = 3844786176.

The previous prime is 5056819153. The next prime is 5056819211. The reversal of 5056819201 is 1029186505.

It is a de Polignac number, because none of the positive numbers 2k-5056819201 is a prime.

It is not an unprimeable number, because it can be changed into a prime (5056819211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 439741 + ... + 451093.

It is an arithmetic number, because the mean of its divisors is an integer number (202328280).

Almost surely, 25056819201 is an apocalyptic number.

It is an amenable number.

5056819201 is a deficient number, since it is larger than the sum of its proper divisors (1417685759).

5056819201 is a wasteful number, since it uses less digits than its factorization.

5056819201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11593.

The product of its (nonzero) digits is 21600, while the sum is 37.

The square root of 5056819201 is about 71111.3155622929. The cubic root of 5056819201 is about 1716.4288625547.

The spelling of 5056819201 in words is "five billion, fifty-six million, eight hundred nineteen thousand, two hundred one".

Divisors: 1 7 17 19 119 133 197 323 1379 2261 3349 3743 11353 23443 26201 63631 79471 193001 215707 445417 1351007 1509949 2236541 3667019 15655787 25669133 38021197 42494279 266148379 297459953 722402743 5056819201