Search a number
-
+
487015380738 = 233113582713697
BaseRepresentation
bin1110001011001000110…
…00001111011100000010
31201120001221100201012000
413011210120033130002
530434401414140423
61011422021444430
750120460301455
oct7054430173402
91646057321160
10487015380738
111785a65388a7
127a478570716
1336c05002b03
141980093d49c
15ca05c1d843
hex716460f702

487015380738 has 64 divisors (see below), whose sum is σ = 1092100993920. Its totient is φ = 160862478336.

The previous prime is 487015380697. The next prime is 487015380749. The reversal of 487015380738 is 837083510784.

487015380738 is a `hidden beast` number, since 4 + 8 + 70 + 1 + 538 + 0 + 7 + 38 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 31 ways as a sum of consecutive naturals, for example, 35549506 + ... + 35563202.

It is an arithmetic number, because the mean of its divisors is an integer number (17064078030).

Almost surely, 2487015380738 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 487015380738, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546050496960).

487015380738 is an abundant number, since it is smaller than the sum of its proper divisors (605085613182).

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

487015380738 is a wasteful number, since it uses less digits than its factorization.

487015380738 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19648 (or 19642 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 487015380738 in words is "four hundred eighty-seven billion, fifteen million, three hundred eighty thousand, seven hundred thirty-eight".

Divisors: 1 2 3 6 9 18 27 54 113 226 339 678 1017 2034 3051 5827 6102 11654 13697 17481 27394 34962 41091 52443 82182 104886 123273 157329 246546 314658 369819 658451 739638 1316902 1547761 1975353 3095522 3950706 4643283 5926059 9286566 11852118 13929849 17778177 27859698 35556354 41789547 79812419 83579094 159624838 239437257 478874514 718311771 1436623542 2154935313 4309870626 9018803347 18037606694 27056410041 54112820082 81169230123 162338460246 243507690369 487015380738