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2090256983280 = 243258932619491
BaseRepresentation
bin11110011010101101000…
…001100110010011110000
321101211022121021122212200
4132122231001212103300
5233221321241431110
64240130101223200
7304005342130014
oct36325501462360
97354277248780
102090256983280
11736522635254
12299132a01b00
131221586a275b
1473251964544
153958bbbc6c0
hex1e6ad0664f0

2090256983280 has 120 divisors (see below), whose sum is σ = 7098653849040. Its totient is φ = 551138903040.

The previous prime is 2090256983273. The next prime is 2090256983299. The reversal of 2090256983280 is 823896520902.

2090256983280 is a `hidden beast` number, since 20 + 9 + 0 + 256 + 98 + 3 + 280 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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, 16245666 + ... + 16373825.

It is an arithmetic number, because the mean of its divisors is an integer number (59155448742).

Almost surely, 22090256983280 is an apocalyptic number.

2090256983280 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2090256983280 is an abundant number, since it is smaller than the sum of its proper divisors (5008396865760).

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

2090256983280 is a wasteful number, since it uses less digits than its factorization.

2090256983280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32619599 (or 32619590 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 2090256983280 in words is "two trillion, ninety billion, two hundred fifty-six million, nine hundred eighty-three thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 89 90 120 144 178 180 240 267 356 360 445 534 712 720 801 890 1068 1335 1424 1602 1780 2136 2670 3204 3560 4005 4272 5340 6408 7120 8010 10680 12816 16020 21360 32040 64080 32619491 65238982 97858473 130477964 163097455 195716946 260955928 293575419 326194910 391433892 489292365 521911856 587150838 652389820 782867784 978584730 1174301676 1304779640 1467877095 1565735568 1957169460 2348603352 2609559280 2903134699 2935754190 3914338920 4697206704 5806269398 5871508380 7828677840 8709404097 11612538796 11743016760 14515673495 17418808194 23225077592 23486033520 26128212291 29031346990 34837616388 43547020485 46450155184 52256424582 58062693980 69675232776 87094040970 104512849164 116125387960 130641061455 139350465552 174188081940 209025698328 232250775920 261282122910 348376163880 418051396656 522564245820 696752327760 1045128491640 2090256983280