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2113458948 = 223261962413
BaseRepresentation
bin111110111111000…
…1101001100000100
312110021211211122100
41331332031030010
513312021141243
6545414432100
7103242050616
oct17576151404
95407754570
102113458948
11994aa0a97
124ab962630
13278b20c33
14160990db6
15c58250d3
hex7df8d304

2113458948 has 36 divisors (see below), whose sum is σ = 5429939788. Its totient is φ = 692936640.

The previous prime is 2113458947. The next prime is 2113458953. The reversal of 2113458948 is 8498543112.

2113458948 is a `hidden beast` number, since 21 + 1 + 3 + 4 + 589 + 48 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1082278404 + 1031180544 = 32898^2 + 32112^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (2113458947) 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 11 ways as a sum of consecutive naturals, for example, 479011 + ... + 483402.

Almost surely, 22113458948 is an apocalyptic number.

It is an amenable number.

2113458948 is an abundant number, since it is smaller than the sum of its proper divisors (3316480840).

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

2113458948 is a wasteful number, since it uses less digits than its factorization.

2113458948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 962484 (or 962479 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 2113458948 is about 45972.3715724999. The cubic root of 2113458948 is about 1283.3090949190.

The spelling of 2113458948 in words is "two billion, one hundred thirteen million, four hundred fifty-eight thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 61 122 183 244 366 549 732 1098 2196 962413 1924826 2887239 3849652 5774478 8661717 11548956 17323434 34646868 58707193 117414386 176121579 234828772 352243158 528364737 704486316 1056729474 2113458948