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2383483253328 = 2432257569113189
BaseRepresentation
bin100010101011110010101…
…011000011001001010000
322102212012001020112222200
4202223302223003021100
5303022333203101303
65022542422003200
7334125636242502
oct42536253031120
98385161215880
102383483253328
11839914182a21
12325b27876500
131439b904ca18
148350b209d72
1541eee85a3a3
hex22af2ac3250

2383483253328 has 120 divisors (see below), whose sum is σ = 6708225724200. Its totient is φ = 790005153792.

The previous prime is 2383483253269. The next prime is 2383483253339. The reversal of 2383483253328 is 8233523843832.

2383483253328 is a `hidden beast` number, since 2 + 3 + 8 + 3 + 4 + 83 + 2 + 533 + 28 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 540383771664 + 1843099481664 = 735108^2 + 1357608^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21000958 + ... + 21114146.

It is an arithmetic number, because the mean of its divisors is an integer number (55901881035).

Almost surely, 22383483253328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2383483253328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3354112862100).

2383483253328 is an abundant number, since it is smaller than the sum of its proper divisors (4324742470872).

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

2383483253328 is a wasteful number, since it uses less digits than its factorization.

2383483253328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114029 (or 114020 counting only the distinct ones).

The product of its digits is 19906560, while the sum is 54.

The spelling of 2383483253328 in words is "two trillion, three hundred eighty-three billion, four hundred eighty-three million, two hundred fifty-three thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 257 514 569 771 1028 1138 1542 1707 2056 2276 2313 3084 3414 4112 4552 4626 5121 6168 6828 9104 9252 10242 12336 13656 18504 20484 27312 37008 40968 81936 113189 146233 226378 292466 339567 438699 452756 584932 679134 877398 905512 1018701 1169864 1316097 1358268 1754796 1811024 2037402 2339728 2632194 2716536 3509592 4074804 5264388 5433072 7019184 8149608 10528776 16299216 21057552 29089573 58179146 64404541 87268719 116358292 128809082 174537438 193213623 232716584 257618164 261806157 349074876 386427246 465433168 515236328 523612314 579640869 698149752 772854492 1030472656 1047224628 1159281738 1396299504 1545708984 2094449256 2318563476 3091417968 4188898512 4637126952 9274253904 16551967037 33103934074 49655901111 66207868148 99311802222 132415736296 148967703333 198623604444 264831472592 297935406666 397247208888 595870813332 794494417776 1191741626664 2383483253328