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1353435553350 = 232525983614179
BaseRepresentation
bin10011101100011111000…
…010111001111001000110
311210101110020202211001200
4103230133002321321012
5134133314000201400
62513432033003330
7166532252246556
oct23543702717106
94711406684050
101353435553350
11481a970a4331
1219a37a9b3546
139a82285a86a
144971429d166
15253151e6b00
hex13b1f0b9e46

1353435553350 has 144 divisors (see below), whose sum is σ = 3742419844800. Its totient is φ = 350523668160.

The previous prime is 1353435553331. The next prime is 1353435553381. The reversal of 1353435553350 is 533555343531.

1353435553350 is a `hidden beast` number, since 1 + 3 + 5 + 3 + 43 + 5 + 553 + 3 + 50 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 1353435553296 and 1353435553305.

It is a congruent number.

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, 1896561 + ... + 2510739.

It is an arithmetic number, because the mean of its divisors is an integer number (25989026700).

Almost surely, 21353435553350 is an apocalyptic number.

1353435553350 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 1353435553350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1871209922400).

1353435553350 is an abundant number, since it is smaller than the sum of its proper divisors (2388984291450).

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

1353435553350 is a wasteful number, since it uses less digits than its factorization.

1353435553350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 614339 (or 614331 counting only the distinct ones).

The product of its (nonzero) digits is 3037500, while the sum is 45.

The spelling of 1353435553350 in words is "one trillion, three hundred fifty-three billion, four hundred thirty-five million, five hundred fifty-three thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 59 75 83 90 118 150 166 177 225 249 295 354 415 450 498 531 590 747 830 885 1062 1245 1475 1494 1770 2075 2490 2655 2950 3735 4150 4425 4897 5310 6225 7470 8850 9794 12450 13275 14691 18675 24485 26550 29382 37350 44073 48970 73455 88146 122425 146910 220365 244850 367275 440730 614179 734550 1101825 1228358 1842537 2203650 3070895 3685074 5527611 6141790 9212685 11055222 15354475 18425370 27638055 30708950 36236561 46063425 50976857 55276110 72473122 92126850 101953714 108709683 138190275 152930571 181182805 217419366 254884285 276380550 305861142 326129049 362365610 458791713 509768570 543548415 652258098 764652855 905914025 917583426 1087096830 1274421425 1529305710 1630645245 1811828050 2293958565 2548842850 2717742075 3007634563 3261290490 3823264275 4587917130 5435484150 6015269126 7646528550 8153226225 9022903689 11469792825 15038172815 16306452450 18045807378 22939585650 27068711067 30076345630 45114518445 54137422134 75190864075 90229036890 135343555335 150381728150 225572592225 270687110670 451145184450 676717776675 1353435553350