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1354452305660 = 2253159137270271
BaseRepresentation
bin10011101101011011101…
…001100000011011111100
311210111002002222012000122
4103231123221200123330
5134142404242240120
62514120553314112
7166566406432166
oct23553351403374
94714062865018
101354452305660
1148246901a3a3
1219a603405938
139a9553b1b4c
14497ad32b936
15253745d6a25
hex13b5ba606fc

1354452305660 has 96 divisors (see below), whose sum is σ = 3007673303040. Its totient is φ = 511653542400.

The previous prime is 1354452305659. The next prime is 1354452305671. The reversal of 1354452305660 is 665032544531.

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 31 ways as a sum of consecutive naturals, for example, 4876325 + ... + 5146595.

It is an arithmetic number, because the mean of its divisors is an integer number (31329930240).

Almost surely, 21354452305660 is an apocalyptic number.

1354452305660 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 1354452305660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1503836651520).

1354452305660 is an abundant number, since it is smaller than the sum of its proper divisors (1653220997380).

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

1354452305660 is a wasteful number, since it uses less digits than its factorization.

1354452305660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270507 (or 270505 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 44.

The spelling of 1354452305660 in words is "one trillion, three hundred fifty-four billion, four hundred fifty-two million, three hundred five thousand, six hundred sixty".

Divisors: 1 2 4 5 10 20 31 59 62 118 124 137 155 236 274 295 310 548 590 620 685 1180 1370 1829 2740 3658 4247 7316 8083 8494 9145 16166 16988 18290 21235 32332 36580 40415 42470 80830 84940 161660 250573 270271 501146 540542 1002292 1081084 1252865 1351355 2505730 2702710 5011460 5405420 8378401 15945989 16756802 31891978 33513604 37027127 41892005 63783956 74054254 79729945 83784010 148108508 159459890 167568020 185135635 318919780 370271270 494325659 740542540 988651318 1147840937 1977302636 2184600493 2295681874 2471628295 4369200986 4591363748 4943256590 5739204685 8738401972 9886513180 10923002465 11478409370 21846004930 22956818740 43692009860 67722615283 135445230566 270890461132 338613076415 677226152830 1354452305660