Search a number
-
+
47904068627406 = 23311310877222219
BaseRepresentation
bin10101110010001100010001…
…11111100110101111001110
320021121120202220111202111000
422321012020333212233032
522234330013032034111
6245514454134041130
713042645322620035
oct1271061077465716
9207546686452430
1047904068627406
111429a00197a1a2
1254581677a91a6
13209644657b714
14bb87d81d371c
15581164c26c56
hex2b9188fe6bce

47904068627406 has 64 divisors (see below), whose sum is σ = 107494366924800. Its totient is φ = 15812150755968.

The previous prime is 47904068627353. The next prime is 47904068627413. The reversal of 47904068627406 is 60472686040974.

47904068627406 is a `hidden beast` number, since 4 + 7 + 90 + 40 + 6 + 86 + 27 + 406 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3021765 + ... + 10243983.

It is an arithmetic number, because the mean of its divisors is an integer number (1679599483200).

Almost surely, 247904068627406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47904068627406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53747183462400).

47904068627406 is an abundant number, since it is smaller than the sum of its proper divisors (59590298297394).

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

47904068627406 is a wasteful number, since it uses less digits than its factorization.

47904068627406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7223430 (or 7223424 counting only the distinct ones).

The product of its (nonzero) digits is 97542144, while the sum is 63.

The spelling of 47904068627406 in words is "forty-seven trillion, nine hundred four billion, sixty-eight million, six hundred twenty-seven thousand, four hundred six".

Divisors: 1 2 3 6 9 18 27 54 113 226 339 678 1017 1087 2034 2174 3051 3261 6102 6522 9783 19566 29349 58698 122831 245662 368493 736986 1105479 2210958 3316437 6632874 7222219 14444438 21666657 43333314 64999971 129999942 194999913 389999826 816110747 1632221494 2448332241 4896664482 7344996723 7850552053 14689993446 15701104106 22034990169 23551656159 44069980338 47103312318 70654968477 141309936954 211964905431 423929810862 887112381989 1774224763978 2661337145967 5322674291934 7984011437901 15968022875802 23952034313703 47904068627406