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12446047480 = 23517149122839
BaseRepresentation
bin10111001011101011…
…11001110011111000
31012010101102201110111
423211311321303320
5200442142004410
65415001554104
7620265441466
oct134565716370
935111381414
1012446047480
115307518759
1224b41a5934
1312346a9449
14860d6b836
154cc9ccb8a
hex2e5d79cf8

12446047480 has 64 divisors (see below), whose sum is σ = 29850120000. Its totient is φ = 4654086144.

The previous prime is 12446047391. The next prime is 12446047499. The reversal of 12446047480 is 8474064421.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39901 + ... + 162739.

It is an arithmetic number, because the mean of its divisors is an integer number (466408125).

Almost surely, 212446047480 is an apocalyptic number.

12446047480 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 12446047480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14925060000).

12446047480 is an abundant number, since it is smaller than the sum of its proper divisors (17404072520).

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

12446047480 is a wasteful number, since it uses less digits than its factorization.

12446047480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123016 (or 123012 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 40.

The spelling of 12446047480 in words is "twelve billion, four hundred forty-six million, forty-seven thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 149 170 298 340 596 680 745 1192 1490 2533 2980 5066 5960 10132 12665 20264 25330 50660 101320 122839 245678 491356 614195 982712 1228390 2088263 2456780 4176526 4913560 8353052 10441315 16706104 18303011 20882630 36606022 41765260 73212044 83530520 91515055 146424088 183030110 311151187 366060220 622302374 732120440 1244604748 1555755935 2489209496 3111511870 6223023740 12446047480