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1306479494900 = 2252231423399181
BaseRepresentation
bin10011000000110000001…
…111110000011011110100
311121220020210122220020202
4103000300033300123310
5132401132222314100
62440104405420032
7163250531322146
oct23006017603364
94556223586222
101306479494900
11464090684658
1219125540a618
139627b618ca8
144733bd32c96
1523eb7bc57d5
hex130303f06f4

1306479494900 has 72 divisors (see below), whose sum is σ = 2960410354944. Its totient is φ = 499517884800.

The previous prime is 1306479494897. The next prime is 1306479494909. The reversal of 1306479494900 is 94949746031.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1306479494909) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3073310 + ... + 3472490.

Almost surely, 21306479494900 is an apocalyptic number.

1306479494900 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 1306479494900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1480205177472).

1306479494900 is an abundant number, since it is smaller than the sum of its proper divisors (1653930860044).

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

1306479494900 is a wasteful number, since it uses less digits than its factorization.

1306479494900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400641 (or 400634 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 56.

The spelling of 1306479494900 in words is "one trillion, three hundred six billion, four hundred seventy-nine million, four hundred ninety-four thousand, nine hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 230 460 575 1150 1423 2300 2846 5692 7115 14230 28460 32729 35575 65458 71150 130916 142300 163645 327290 399181 654580 798362 818225 1596724 1636450 1995905 3272900 3991810 7983620 9181163 9979525 18362326 19959050 36724652 39918100 45905815 91811630 183623260 229529075 459058150 568034563 918116300 1136069126 2272138252 2840172815 5680345630 11360691260 13064794949 14200864075 26129589898 28401728150 52259179796 56803456300 65323974745 130647949490 261295898980 326619873725 653239747450 1306479494900