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20102256381592 = 23711191988986357
BaseRepresentation
bin1001001001000011010111…
…10110011100111010011000
32122011202102210212220120001
410210201223312130322120
510113323410113202332
6110430503223142344
74143224436643240
oct444415366347230
978152383786501
1020102256381592
116450356732010
122307b50ba49b4
13b2a833405ac8
144d6d50c34b20
1524cd8c2280e7
hex12486bd9ce98

20102256381592 has 128 divisors (see below), whose sum is σ = 49468625856000. Its totient is φ = 7419375912960.

The previous prime is 20102256381547. The next prime is 20102256381601. The reversal of 20102256381592 is 29518365220102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 232737678 + ... + 232824034.

It is an arithmetic number, because the mean of its divisors is an integer number (386473639500).

Almost surely, 220102256381592 is an apocalyptic number.

20102256381592 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20102256381592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24734312928000).

20102256381592 is an abundant number, since it is smaller than the sum of its proper divisors (29366369474408).

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

20102256381592 is a wasteful number, since it uses less digits than its factorization.

20102256381592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106289 (or 106285 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 46.

The spelling of 20102256381592 in words is "twenty trillion, one hundred two billion, two hundred fifty-six million, three hundred eighty-one thousand, five hundred ninety-two".

Divisors: 1 2 4 7 8 11 14 19 22 28 38 44 56 76 77 88 133 152 154 209 266 308 418 532 616 836 1064 1463 1672 2926 5852 11704 19889 39778 79556 86357 139223 159112 172714 218779 278446 345428 377891 437558 556892 604499 690856 755782 875116 949927 1113784 1208998 1511564 1531453 1640783 1750232 1899854 2417996 2645237 3023128 3062906 3281566 3799708 4156801 4835992 5290474 6125812 6563132 6649489 7599416 8313602 10580948 11485481 12251624 13126264 13298978 16627204 18048613 21161896 22970962 26597956 29097607 33254408 36097226 45941924 53195912 58195214 72194452 91883848 116390428 126340291 144388904 232780856 252680582 505361164 1010722328 1717554373 3435108746 6870217492 12022880611 13740434984 18893098103 24045761222 32633533087 37786196206 48091522444 65267066174 75572392412 96183044888 130534132348 132251686721 151144784824 228434731609 261068264696 264503373442 358968863957 456869463218 529006746884 717937727914 913738926436 1058013493768 1435875455828 1827477852872 2512782047699 2871750911656 5025564095398 10051128190796 20102256381592