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2558350120920 = 2335114345073117
BaseRepresentation
bin100101001110101001100…
…011001101011111011000
3100001120112211002211100020
4211032221203031133120
5313404000112332140
65235142333510440
7352556205140136
oct45165143153730
910046484084306
102558350120920
118a6a98a46810
123539aa342420
131573363911c9
148bb793aa756
15468365b06d0
hex253a98cd7d8

2558350120920 has 128 divisors (see below), whose sum is σ = 8567498269440. Its totient is φ = 605782679040.

The previous prime is 2558350120913. The next prime is 2558350120927. The reversal of 2558350120920 is 290210538552.

It is an interprime number because it is at equal distance from previous prime (2558350120913) and next prime (2558350120927).

It is a super-2 number, since 2×25583501209202 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2558350120927) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22479799 + ... + 22593318.

It is an arithmetic number, because the mean of its divisors is an integer number (66933580230).

Almost surely, 22558350120920 is an apocalyptic number.

2558350120920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2558350120920 is an abundant number, since it is smaller than the sum of its proper divisors (6009148148520).

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

2558350120920 is a wasteful number, since it uses less digits than its factorization.

2558350120920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45073185 (or 45073181 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 42.

The spelling of 2558350120920 in words is "two trillion, five hundred fifty-eight billion, three hundred fifty million, one hundred twenty thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 43 44 55 60 66 86 88 110 120 129 132 165 172 215 220 258 264 330 344 430 440 473 516 645 660 860 946 1032 1290 1320 1419 1720 1892 2365 2580 2838 3784 4730 5160 5676 7095 9460 11352 14190 18920 28380 56760 45073117 90146234 135219351 180292468 225365585 270438702 360584936 450731170 495804287 540877404 676096755 901462340 991608574 1081754808 1352193510 1487412861 1802924680 1938144031 1983217148 2479021435 2704387020 2974825722 3876288062 3966434296 4958042870 5408774040 5814432093 5949651444 7437064305 7752576124 9690720155 9916085740 11628864186 11899302888 14874128610 15505152248 19381440310 19832171480 21319584341 23257728372 29072160465 29748257220 38762880620 42639168682 46515456744 58144320930 59496514440 63958753023 77525761240 85278337364 106597921705 116288641860 127917506046 170556674728 213195843410 232577283720 255835012092 319793765115 426391686820 511670024184 639587530230 852783373640 1279175060460 2558350120920