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2289495980430 = 2325163251621779
BaseRepresentation
bin100001010100010000100…
…110000011100110001110
322002212120220121101201100
4201110100212003212032
5300002341432333210
64511440244323530
7324260562510561
oct41242046034616
98085526541640
102289495980430
11802a7388077a
1230b8776a35a6
13137b8b143c89
147cb5294c4d8
153e84d41e5c0
hex2151098398e

2289495980430 has 96 divisors (see below), whose sum is σ = 6013080178560. Its totient is φ = 604368216000.

The previous prime is 2289495980407. The next prime is 2289495980441. The reversal of 2289495980430 is 340895949822.

2289495980430 is a `hidden beast` number, since 2 + 2 + 8 + 9 + 4 + 9 + 598 + 0 + 4 + 30 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3371281 + ... + 3993059.

It is an arithmetic number, because the mean of its divisors is an integer number (62636251860).

Almost surely, 22289495980430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2289495980430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3006540089280).

2289495980430 is an abundant number, since it is smaller than the sum of its proper divisors (3723584198130).

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

2289495980430 is a wasteful number, since it uses less digits than its factorization.

2289495980430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 622206 (or 622203 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 63.

The spelling of 2289495980430 in words is "two trillion, two hundred eighty-nine billion, four hundred ninety-five million, nine hundred eighty thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 163 251 326 489 502 753 815 978 1255 1467 1506 1630 2259 2445 2510 2934 3765 4518 4890 7335 7530 11295 14670 22590 40913 81826 122739 204565 245478 368217 409130 613695 621779 736434 1227390 1243558 1841085 1865337 3108895 3682170 3730674 5596011 6217790 9326685 11192022 18653370 27980055 55960110 101349977 156066529 202699954 304049931 312133058 468199587 506749885 608099862 780332645 912149793 936399174 1013499770 1404598761 1520249655 1560665290 1824299586 2340997935 2809197522 3040499310 4560748965 4681995870 7022993805 9121497930 14045987610 25438844227 50877688454 76316532681 127194221135 152633065362 228949598043 254388442270 381582663405 457899196086 763165326810 1144747990215 2289495980430