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2117048820 = 2235306111527
BaseRepresentation
bin111111000101111…
…1001100111110100
312110112121020000120
41332023321213310
513313431030240
6550023411540
7103314421665
oct17613714764
95415536016
102117048820
11997023127
124b0bb3bb0
132797a9c13
1416124736c
15c5cd3ad0
hex7e2f99f4

2117048820 has 48 divisors (see below), whose sum is σ = 5930187648. Its totient is φ = 564312960.

The previous prime is 2117048789. The next prime is 2117048827. The reversal of 2117048820 is 288407112.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2117048827) 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, 177897 + ... + 189423.

It is an arithmetic number, because the mean of its divisors is an integer number (123545576).

Almost surely, 22117048820 is an apocalyptic number.

2117048820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2117048820 is an abundant number, since it is smaller than the sum of its proper divisors (3813138828).

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

2117048820 is a wasteful number, since it uses less digits than its factorization.

2117048820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14600 (or 14598 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 33.

The square root of 2117048820 is about 46011.3988050787. The cubic root of 2117048820 is about 1284.0352835288.

The spelling of 2117048820 in words is "two billion, one hundred seventeen million, forty-eight thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 3061 6122 9183 11527 12244 15305 18366 23054 30610 34581 36732 45915 46108 57635 61220 69162 91830 115270 138324 172905 183660 230540 345810 691620 35284147 70568294 105852441 141136588 176420735 211704882 352841470 423409764 529262205 705682940 1058524410 2117048820