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4661767242 = 234112237821
BaseRepresentation
bin1000101011101110…
…01110110001001010
3110000212221022110000
410111313032301022
534021403022432
62050325503430
7223344240066
oct42567166112
913025838400
104661767242
111a8249a800
12aa1271b76
13593a65772
143231b8aa6
151c43e457c
hex115dcec4a

4661767242 has 60 divisors (see below), whose sum is σ = 11481808338. Its totient is φ = 1412650800.

The previous prime is 4661767219. The next prime is 4661767261. The reversal of 4661767242 is 2427671664.

4661767242 is a `hidden beast` number, since 4 + 6 + 617 + 6 + 7 + 24 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4545321561 + 116445681 = 67419^2 + 10791^2 .

It is an unprimeable number.

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 29 ways as a sum of consecutive naturals, for example, 99309 + ... + 138512.

Almost surely, 24661767242 is an apocalyptic number.

4661767242 is an abundant number, since it is smaller than the sum of its proper divisors (6820041096).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4661767242 is a wasteful number, since it uses less digits than its factorization.

4661767242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237857 (or 237837 counting only the distinct ones).

The product of its digits is 677376, while the sum is 45.

The square root of 4661767242 is about 68277.1355726059. The cubic root of 4661767242 is about 1670.5142907890.

It can be divided in two parts, 4661 and 767242, that added together give a triangular number (771903 = T1242).

The spelling of 4661767242 in words is "four billion, six hundred sixty-one million, seven hundred sixty-seven thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 121 162 198 242 297 363 594 726 891 1089 1782 2178 3267 6534 9801 19602 237821 475642 713463 1426926 2140389 2616031 4280778 5232062 6421167 7848093 12842334 15696186 19263501 23544279 28776341 38527002 47088558 57552682 70632837 86329023 141265674 172658046 211898511 258987069 423797022 517974138 776961207 1553922414 2330883621 4661767242