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4672973877 = 3111323132677
BaseRepresentation
bin1000101101000011…
…11110110000110101
3110001200000200001120
410112201332300311
534032240131002
62051410014153
7223541423355
oct42641766065
913050020046
104672973877
111a88854490
12aa4b77359
1359618a600
14324894b65
151c53a9cbc
hex11687ec35

4672973877 has 48 divisors (see below), whose sum is σ = 7386395328. Its totient is φ = 2604925440.

The previous prime is 4672973861. The next prime is 4672973881. The reversal of 4672973877 is 7783792764.

It is not a de Polignac number, because 4672973877 - 24 = 4672973861 is a prime.

It is a super-2 number, since 2×46729738772 = 43673369710248822258, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4672973877.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4672973827) 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 47 ways as a sum of consecutive naturals, for example, 1744263 + ... + 1746939.

It is an arithmetic number, because the mean of its divisors is an integer number (153883236).

Almost surely, 24672973877 is an apocalyptic number.

It is an amenable number.

4672973877 is a deficient number, since it is larger than the sum of its proper divisors (2713421451).

4672973877 is a wasteful number, since it uses less digits than its factorization.

4672973877 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3030 (or 3017 counting only the distinct ones).

The product of its digits is 24893568, while the sum is 60.

The square root of 4672973877 is about 68359.1535714128. The cubic root of 4672973877 is about 1671.8518280828.

It can be divided in two parts, 467297 and 3877, that added together give a palindrome (471174).

The spelling of 4672973877 in words is "four billion, six hundred seventy-two million, nine hundred seventy-three thousand, eight hundred seventy-seven".

Divisors: 1 3 11 13 33 39 143 169 313 429 507 939 1859 2677 3443 4069 5577 8031 10329 12207 29447 34801 44759 52897 88341 104403 134277 158691 382811 452413 581867 837901 1148433 1357239 1745601 2513703 4976543 9216911 10892713 14929629 27650733 32678139 119819843 141605269 359459529 424815807 1557657959 4672973877