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948209131920 = 243517232404199
BaseRepresentation
bin11011100110001011010…
…10110010000110010000
310100122111022202201200210
431303011222302012100
5111013413014210140
62003333512244120
7125335335431361
oct15630552620620
93318438681623
10948209131920
11336151376186
121339293a0640
136b5534b547b
1433c71d39b68
15199e9a6dd80
hexdcc5ab2190

948209131920 has 80 divisors (see below), whose sum is σ = 3112357046400. Its totient is φ = 237981898752.

The previous prime is 948209131913. The next prime is 948209131949. The reversal of 948209131920 is 29131902849.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 948209131920.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 116198020 + ... + 116206179.

It is an arithmetic number, because the mean of its divisors is an integer number (38904463080).

Almost surely, 2948209131920 is an apocalyptic number.

It is an amenable number.

948209131920 is an abundant number, since it is smaller than the sum of its proper divisors (2164147914480).

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

948209131920 is a wasteful number, since it uses less digits than its factorization.

948209131920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232404232 (or 232404226 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 48.

The spelling of 948209131920 in words is "nine hundred forty-eight billion, two hundred nine million, one hundred thirty-one thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 120 136 170 204 240 255 272 340 408 510 680 816 1020 1360 2040 4080 232404199 464808398 697212597 929616796 1162020995 1394425194 1859233592 2324041990 2788850388 3486062985 3718467184 3950871383 4648083980 5577700776 6972125970 7901742766 9296167960 11155401552 11852614149 13944251940 15803485532 18592335920 19754356915 23705228298 27888503880 31606971064 39508713830 47410456596 55777007760 59263070745 63213942128 79017427660 94820913192 118526141490 158034855320 189641826384 237052282980 316069710640 474104565960 948209131920