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2113404948 = 223275377789
BaseRepresentation
bin111110111111000…
…0000000000010100
312110021202002120100
41331332000000110
513312012424243
6545413334100
7103241434314
oct17576000024
95407662510
102113404948
11994a64466
124ab937330
13278b02495
14160979444
15c58140d3
hex7df80014

2113404948 has 36 divisors (see below), whose sum is σ = 5343612820. Its totient is φ = 704284416.

The previous prime is 2113404913. The next prime is 2113404949. The reversal of 2113404948 is 8494043112.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1079911044 + 1033493904 = 32862^2 + 32148^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2113404949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 267438 + ... + 275226.

Almost surely, 22113404948 is an apocalyptic number.

It is an amenable number.

2113404948 is an abundant number, since it is smaller than the sum of its proper divisors (3230207872).

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

2113404948 is a wasteful number, since it uses less digits than its factorization.

2113404948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15336 (or 15331 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 2113404948 is about 45971.7842594781. The cubic root of 2113404948 is about 1283.2981650826.

The spelling of 2113404948 in words is "two billion, one hundred thirteen million, four hundred four thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 7537 7789 15074 15578 22611 23367 30148 31156 45222 46734 67833 70101 90444 93468 135666 140202 271332 280404 58705693 117411386 176117079 234822772 352234158 528351237 704468316 1056702474 2113404948