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1363676185020 = 223553235322921
BaseRepresentation
bin10011110110000001011…
…011110100000110111100
311211100212221022210210010
4103312001123310012330
5134320302100410040
62522244133143220
7200344111214562
oct23660133640674
94740787283703
101363676185020
11486371723496
121a035848ab10
139b79535a526
144a00637da32
1525714287e80
hex13d816f41bc

1363676185020 has 144 divisors (see below), whose sum is σ = 3902890797792. Its totient is φ = 355759472640.

The previous prime is 1363676184977. The next prime is 1363676185021. The reversal of 1363676185020 is 205816763631.

It is a super-2 number, since 2×13636761850202 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1363676185021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59483160 + ... + 59506080.

It is an arithmetic number, because the mean of its divisors is an integer number (27103408318).

Almost surely, 21363676185020 is an apocalyptic number.

1363676185020 is a gapful number since it is divisible by the number (10) 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 1363676185020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1951445398896).

1363676185020 is an abundant number, since it is smaller than the sum of its proper divisors (2539214612772).

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

1363676185020 is a wasteful number, since it uses less digits than its factorization.

1363676185020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23392 (or 23337 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The spelling of 1363676185020 in words is "one trillion, three hundred sixty-three billion, six hundred seventy-six million, one hundred eighty-five thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 53 60 106 159 212 265 318 353 530 636 706 795 1059 1060 1412 1590 1765 2118 2809 3180 3530 4236 5295 5618 7060 8427 10590 11236 14045 16854 18709 21180 22921 28090 33708 37418 42135 45842 56127 56180 68763 74836 84270 91684 93545 112254 114605 137526 168540 187090 224508 229210 275052 280635 343815 374180 458420 561270 687630 991577 1122540 1214813 1375260 1983154 2429626 2974731 3644439 3966308 4859252 4957885 5949462 6074065 7288878 8091113 9915770 11898924 12148130 14577756 14873655 16182226 18222195 19831540 24273339 24296260 29747310 32364452 36444390 40455565 48546678 59494620 64385089 72888780 80911130 97093356 121366695 128770178 161822260 193155267 242733390 257540356 321925445 386310534 428828989 485466780 643850890 772621068 857657978 965776335 1286486967 1287701780 1715315956 1931552670 2144144945 2572973934 3863105340 4288289890 5145947868 6432434835 8576579780 12864869670 22727936417 25729739340 45455872834 68183809251 90911745668 113639682085 136367618502 227279364170 272735237004 340919046255 454558728340 681838092510 1363676185020