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4872695061 = 3132341472819
BaseRepresentation
bin1001000100110111…
…10110110100010101
3110120120211120000110
410202123312310111
534434402220221
62123302433233
7231515140023
oct44233666425
913516746013
104872695061
112080566a13
12b3ba32819
135c8677a20
14343203713
151d7bab776
hex1226f6d15

4872695061 has 64 divisors (see below), whose sum is σ = 7640801280. Its totient is φ = 2737743360.

The previous prime is 4872695021. The next prime is 4872695077. The reversal of 4872695061 is 1605962784.

It is not a de Polignac number, because 4872695061 - 214 = 4872678677 is a prime.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a self number, because there is not a number n which added to its sum of digits gives 4872695061.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4872695021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1727110 + ... + 1729928.

It is an arithmetic number, because the mean of its divisors is an integer number (119387520).

Almost surely, 24872695061 is an apocalyptic number.

4872695061 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

4872695061 is a deficient number, since it is larger than the sum of its proper divisors (2768106219).

4872695061 is a wasteful number, since it uses less digits than its factorization.

4872695061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2946.

The product of its (nonzero) digits is 725760, while the sum is 48.

The square root of 4872695061 is about 69804.6922563233. The cubic root of 4872695061 is about 1695.3384473962.

The spelling of 4872695061 in words is "four billion, eight hundred seventy-two million, six hundred ninety-five thousand, sixty-one".

Divisors: 1 3 13 23 39 41 47 69 123 141 299 533 611 897 943 1081 1599 1833 1927 2819 2829 3243 5781 8457 12259 14053 25051 36647 36777 42159 44321 64837 75153 109941 115579 132493 132963 194511 346737 397479 576173 842881 1502527 1722409 1728519 2528643 2658317 3047339 4507581 5167227 5432213 7974951 9142017 16296639 34558121 39615407 70618769 103674363 118846221 124940899 211856307 374822697 1624231687 4872695061