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948145991 = 13533833593
BaseRepresentation
bin111000100000111…
…000111101000111
32110002002210210012
4320200320331013
53420211132431
6234030020435
732332052012
oct7040707507
92402083705
10948145991
11447227131
1222564771b
13121582c40
148dcd0379
155838c22b
hex38838f47

948145991 has 16 divisors (see below), whose sum is σ = 1043352576. Its totient is φ = 856217856.

The previous prime is 948145967. The next prime is 948146021. The reversal of 948145991 is 199541849.

948145991 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 948145991 - 226 = 881037127 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (948145291) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 262091 + ... + 265683.

It is an arithmetic number, because the mean of its divisors is an integer number (65209536).

Almost surely, 2948145991 is an apocalyptic number.

948145991 is a deficient number, since it is larger than the sum of its proper divisors (95206585).

948145991 is a wasteful number, since it uses less digits than its factorization.

948145991 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4042.

The product of its digits is 466560, while the sum is 50.

The square root of 948145991 is about 30791.9793290396. The cubic root of 948145991 is about 982.4076546055.

The spelling of 948145991 in words is "nine hundred forty-eight million, one hundred forty-five thousand, nine hundred ninety-one".

Divisors: 1 13 53 383 689 3593 4979 20299 46709 190429 263887 1376119 2475577 17889547 72934307 948145991