Search a number
-
+
48961906947 = 35478235209
BaseRepresentation
bin101101100110010110…
…110110100100000011
311200101020110120200000
4231212112312210003
51300233222010242
634254235331043
73352215225252
oct554626664403
9150336416600
1048961906947
11198457a1408
1295a52b0a83
134803985c95
142526908799
15141868ba4c
hexb665b6903

48961906947 has 48 divisors (see below), whose sum is σ = 75007994880. Its totient is φ = 31901833152.

The previous prime is 48961906927. The next prime is 48961906979. The reversal of 48961906947 is 74960916984.

48961906947 is a `hidden beast` number, since 4 + 8 + 9 + 619 + 0 + 6 + 9 + 4 + 7 = 666.

48961906947 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 48961906947 - 215 = 48961874179 is a prime.

It is not an unprimeable number, because it can be changed into a prime (48961906927) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9396879 + ... + 9402087.

It is an arithmetic number, because the mean of its divisors is an integer number (1562666560).

Almost surely, 248961906947 is an apocalyptic number.

48961906947 is a gapful number since it is divisible by the number (47) formed by its first and last digit.

48961906947 is a deficient number, since it is larger than the sum of its proper divisors (26046087933).

48961906947 is an equidigital number, since it uses as much as digits as its factorization.

48961906947 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6094 (or 6082 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 63.

The spelling of 48961906947 in words is "forty-eight billion, nine hundred sixty-one million, nine hundred six thousand, nine hundred forty-seven".

Divisors: 1 3 9 27 47 81 141 243 423 823 1269 2469 3807 5209 7407 11421 15627 22221 38681 46881 66663 116043 140643 199989 244823 348129 421929 734469 1044387 1265787 2203407 3133161 4287007 6610221 9399483 12861021 19830663 38583063 59491989 115749189 201489329 347247567 604467987 1041742701 1813403961 5440211883 16320635649 48961906947