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4879238661 = 331129412337
BaseRepresentation
bin1001000101101001…
…10100011000000101
3110121001011000011000
410202310310120011
534443041114121
62124055003513
7231624562413
oct44264643005
913531130130
104879238661
112084226250
12b42069599
135c9b2928b
143440282b3
151d8550526
hex122d34605

4879238661 has 96 divisors (see below), whose sum is σ = 8386185600. Its totient is φ = 2777241600.

The previous prime is 4879238599. The next prime is 4879238687. The reversal of 4879238661 is 1668329784.

4879238661 is a `hidden beast` number, since 487 + 9 + 23 + 86 + 61 = 666.

It is not a de Polignac number, because 4879238661 - 217 = 4879107589 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 4879238598 and 4879238607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4879238761) 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 95 ways as a sum of consecutive naturals, for example, 14478285 + ... + 14478621.

It is an arithmetic number, because the mean of its divisors is an integer number (87356100).

Almost surely, 24879238661 is an apocalyptic number.

4879238661 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

4879238661 is a deficient number, since it is larger than the sum of its proper divisors (3506946939).

4879238661 is a wasteful number, since it uses less digits than its factorization.

4879238661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 421 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The square root of 4879238661 is about 69851.5473056968. The cubic root of 4879238661 is about 1696.0970046430.

The spelling of 4879238661 in words is "four billion, eight hundred seventy-nine million, two hundred thirty-eight thousand, six hundred sixty-one".

Divisors: 1 3 9 11 27 29 33 41 87 99 123 261 297 319 337 369 451 783 957 1011 1107 1189 1353 1681 2871 3033 3567 3707 4059 5043 8613 9099 9773 10701 11121 12177 13079 13817 15129 18491 29319 32103 33363 39237 41451 45387 48749 55473 87957 100089 107503 117711 124353 146247 151987 166419 263871 322509 353133 373059 400693 438741 455961 499257 536239 566497 967527 1202079 1316223 1367883 1608717 1699491 2902581 3606237 4103649 4407623 4826151 5098473 6231467 10818711 13222869 14478453 15295419 16428413 18694401 39668607 49285239 56083203 119005821 147855717 168249609 180712543 443567151 542137629 1626412887 4879238661