Search a number
-
+
42861664307 = 72111746310103
BaseRepresentation
bin100111111010110000…
…010001100000110011
311002122002210010221102
4213322300101200303
51200240041224212
631405042115015
73045103064300
oct477260214063
9132562703842
1042861664307
11171a5323870
12838234ba6b
134070bc0157
1421086840a7
1511acd525c2
hex9fac11833

42861664307 has 48 divisors (see below), whose sum is σ = 57721807872. Its totient is φ = 31363073280.

The previous prime is 42861664271. The next prime is 42861664361. The reversal of 42861664307 is 70346616824.

It is not a de Polignac number, because 42861664307 - 26 = 42861664243 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42861664367) 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, 4237418 + ... + 4247520.

It is an arithmetic number, because the mean of its divisors is an integer number (1202537664).

Almost surely, 242861664307 is an apocalyptic number.

42861664307 is a deficient number, since it is larger than the sum of its proper divisors (14860143565).

42861664307 is a wasteful number, since it uses less digits than its factorization.

42861664307 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10608 (or 10601 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 47.

The spelling of 42861664307 in words is "forty-two billion, eight hundred sixty-one million, six hundred sixty-four thousand, three hundred seven".

Divisors: 1 7 11 17 49 77 119 187 463 539 833 1309 3241 5093 7871 9163 10103 22687 35651 55097 70721 86581 111133 171751 249557 385679 495047 606067 777931 1202257 1889261 4242469 4677689 5445517 8415799 13224827 32743823 51454579 79520713 92573789 229206761 360182053 556644991 874727843 2521274371 3896514937 6123094901 42861664307