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1353220243650 = 23252112113129379
BaseRepresentation
bin10011101100010010001…
…101100100000011000010
311210100220020121221200100
4103230102031210003002
5134132343340244100
62513354422103230
7166524026166522
oct23542215440302
94710806557610
101353220243650
11481996604a30
1219a31a87ab16
139a7ba072c82
14496d3853682
1525301366400
hex13b123640c2

1353220243650 has 144 divisors (see below), whose sum is σ = 3968073214560. Its totient is φ = 327895603200.

The previous prime is 1353220243649. The next prime is 1353220243693. The reversal of 1353220243650 is 563420223531.

1353220243650 is a `hidden beast` number, since 1 + 3 + 53 + 220 + 24 + 365 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10394661 + ... + 10524039.

It is an arithmetic number, because the mean of its divisors is an integer number (27556063990).

Almost surely, 21353220243650 is an apocalyptic number.

1353220243650 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1353220243650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1984036607280).

1353220243650 is an abundant number, since it is smaller than the sum of its proper divisors (2614852970910).

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

1353220243650 is a wasteful number, since it uses less digits than its factorization.

1353220243650 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131521 (or 131513 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The spelling of 1353220243650 in words is "one trillion, three hundred fifty-three billion, two hundred twenty million, two hundred forty-three thousand, six hundred fifty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 25 30 33 45 50 55 66 75 90 99 110 150 165 198 225 275 330 450 495 550 825 990 1650 2113 2475 4226 4950 6339 10565 12678 19017 21130 23243 31695 38034 46486 52825 63390 69729 95085 105650 116215 129379 139458 158475 190170 209187 232430 258758 316950 348645 388137 418374 475425 581075 646895 697290 776274 950850 1045935 1162150 1164411 1293790 1423169 1743225 1940685 2091870 2328822 2846338 3234475 3486450 3881370 4269507 5229675 5822055 6468950 7115845 8539014 9703425 10459350 11644110 12808521 14231690 19406850 21347535 25617042 29110275 35579225 42695070 58220550 64042605 71158450 106737675 128085210 213475350 273377827 320213025 546755654 640426050 820133481 1366889135 1640266962 2460400443 2733778270 3007156097 4100667405 4920800886 6014312194 6834445675 8201334810 9021468291 12302002215 13668891350 15035780485 18042936582 20503337025 24604004430 27064404873 30071560970 41006674050 45107341455 54128809746 61510011075 75178902425 90214682910 123020022150 135322024365 150357804850 225536707275 270644048730 451073414550 676610121825 1353220243650