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1348057485360 = 2432510871722449
BaseRepresentation
bin10011100111011110011…
…111001101000000110000
311202212120102222122201100
4103213132133031000300
5134041310204012420
62511142234204400
7166252056364215
oct23473637150060
94685512878640
101348057485360
1147a787341243
12199319883700
139a176599301
1449363d05b0c
15250eceb0190
hex139de7cd030

1348057485360 has 120 divisors (see below), whose sum is σ = 4531393900800. Its totient is φ = 359151077376.

The previous prime is 1348057485343. The next prime is 1348057485403. The reversal of 1348057485360 is 635847508431.

1348057485360 is a `hidden beast` number, since 1 + 3 + 4 + 8 + 0 + 574 + 8 + 5 + 3 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×13480574853602 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1348057485297 and 1348057485306.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78585 + ... + 1643864.

It is an arithmetic number, because the mean of its divisors is an integer number (37761615840).

Almost surely, 21348057485360 is an apocalyptic number.

1348057485360 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 1348057485360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2265696950400).

1348057485360 is an abundant number, since it is smaller than the sum of its proper divisors (3183336415440).

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

1348057485360 is a wasteful number, since it uses less digits than its factorization.

1348057485360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1723555 (or 1723546 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 1348057485360 in words is "one trillion, three hundred forty-eight billion, fifty-seven million, four hundred eighty-five thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 1087 2174 3261 4348 5435 6522 8696 9783 10870 13044 16305 17392 19566 21740 26088 32610 39132 43480 48915 52176 65220 78264 86960 97830 130440 156528 195660 260880 391320 782640 1722449 3444898 5167347 6889796 8612245 10334694 13779592 15502041 17224490 20669388 25836735 27559184 31004082 34448980 41338776 51673470 62008164 68897960 77510205 82677552 103346940 124016328 137795920 155020410 206693880 248032656 310040820 413387760 620081640 1240163280 1872302063 3744604126 5616906189 7489208252 9361510315 11233812378 14978416504 16850718567 18723020630 22467624756 28084530945 29956833008 33701437134 37446041260 44935249512 56169061890 67402874268 74892082520 84253592835 89870499024 112338123780 134805748536 149784165040 168507185670 224676247560 269611497072 337014371340 449352495120 674028742680 1348057485360