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2158133942880 = 253252365161049
BaseRepresentation
bin11111011001111010110…
…011101001101001100000
321122022112001202110211100
4133121322303221221200
5240324324242133010
64331233312114400
7311630366561346
oct37317263515140
97568461673740
102158133942880
11762294391683
122aa316835a00
13128685022c86
1476650613996
153b210c142c0
hex1f67ace9a60

2158133942880 has 144 divisors (see below), whose sum is σ = 7684833592800. Its totient is φ = 550480533504.

The previous prime is 2158133942831. The next prime is 2158133942891. The reversal of 2158133942880 is 882493318512.

2158133942880 is a `hidden beast` number, since 2 + 1 + 5 + 8 + 133 + 9 + 428 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×21581339428803 (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32547405 + ... + 32613644.

It is an arithmetic number, because the mean of its divisors is an integer number (53366899950).

Almost surely, 22158133942880 is an apocalyptic number.

2158133942880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2158133942880 is an abundant number, since it is smaller than the sum of its proper divisors (5526699649920).

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

2158133942880 is a wasteful number, since it uses less digits than its factorization.

2158133942880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65161093 (or 65161082 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

It can be divided in two parts, 2158133 and 942880, that added together give a palindrome (3101013).

The spelling of 2158133942880 in words is "two trillion, one hundred fifty-eight billion, one hundred thirty-three million, nine hundred forty-two thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 30 32 36 40 45 46 48 60 69 72 80 90 92 96 115 120 138 144 160 180 184 207 230 240 276 288 345 360 368 414 460 480 552 690 720 736 828 920 1035 1104 1380 1440 1656 1840 2070 2208 2760 3312 3680 4140 5520 6624 8280 11040 16560 33120 65161049 130322098 195483147 260644196 325805245 390966294 521288392 586449441 651610490 781932588 977415735 1042576784 1172898882 1303220980 1498704127 1563865176 1954831470 2085153568 2345797764 2606441960 2932247205 2997408254 3127730352 3909662940 4496112381 4691595528 5212883920 5864494410 5994816508 6255460704 7493520635 7819325880 8992224762 9383191056 10425767840 11728988820 11989633016 13488337143 14987041270 15638651760 17984449524 18766382112 22480561905 23457977640 23979266032 26976674286 29974082540 31277303520 35968899048 44961123810 46915955280 47958532064 53953348572 59948165080 67441685715 71937798096 89922247620 93831910560 107906697144 119896330160 134883371430 143875596192 179844495240 215813394288 239792660320 269766742860 359688990480 431626788576 539533485720 719377980960 1079066971440 2158133942880