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12447019040 = 2553716312899
BaseRepresentation
bin10111001011110011…
…00111000000100000
31012010110021002012012
423211321213000200
5200442414102130
65415034452052
7620306626151
oct134571470040
935113232165
1012447019040
1153080216a5
1224b4594028
131234959731
14861141928
154ccb20995
hex2e5e67020

12447019040 has 96 divisors (see below), whose sum is σ = 30388478400. Its totient is φ = 4814152704.

The previous prime is 12447019031. The next prime is 12447019061. The reversal of 12447019040 is 4091074421.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 12447018988 and 12447019006.

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, 958511 + ... + 971409.

It is an arithmetic number, because the mean of its divisors is an integer number (316546650).

Almost surely, 212447019040 is an apocalyptic number.

12447019040 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 12447019040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15194239200).

12447019040 is an abundant number, since it is smaller than the sum of its proper divisors (17941459360).

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

12447019040 is a wasteful number, since it uses less digits than its factorization.

12447019040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13114 (or 13106 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The spelling of 12447019040 in words is "twelve billion, four hundred forty-seven million, nineteen thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 74 80 148 160 163 185 296 326 370 592 652 740 815 1184 1304 1480 1630 2608 2960 3260 5216 5920 6031 6520 12062 12899 13040 24124 25798 26080 30155 48248 51596 60310 64495 96496 103192 120620 128990 192992 206384 241240 257980 412768 477263 482480 515960 954526 964960 1031920 1909052 2063840 2102537 2386315 3818104 4205074 4772630 7636208 8410148 9545260 10512685 15272416 16820296 19090520 21025370 33640592 38181040 42050740 67281184 76362080 77793869 84101480 155587738 168202960 311175476 336405920 388969345 622350952 777938690 1244701904 1555877380 2489403808 3111754760 6223509520 12447019040