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12472449360 = 2435718141017
BaseRepresentation
bin10111001110110101…
…00111100101010000
31012012020010002000220
423213122213211100
5201020421334420
65421343513040
7621036033060
oct134732474520
935166102026
1012472449360
115320410898
122500bb8780
131239cc1767
148646813a0
154cee95840
hex2e76a7950

12472449360 has 160 divisors (see below), whose sum is σ = 44433322752. Its totient is φ = 2835025920.

The previous prime is 12472449337. The next prime is 12472449391. The reversal of 12472449360 is 6394427421.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 283572 + ... + 324588.

Almost surely, 212472449360 is an apocalyptic number.

12472449360 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 12472449360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22216661376).

12472449360 is an abundant number, since it is smaller than the sum of its proper divisors (31960873392).

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

12472449360 is a wasteful number, since it uses less digits than its factorization.

12472449360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41221 (or 41215 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The spelling of 12472449360 in words is "twelve billion, four hundred seventy-two million, four hundred forty-nine thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 181 210 240 280 336 362 420 543 560 724 840 905 1086 1267 1448 1680 1810 2172 2534 2715 2896 3620 3801 4344 5068 5430 6335 7240 7602 8688 10136 10860 12670 14480 15204 19005 20272 21720 25340 30408 38010 41017 43440 50680 60816 76020 82034 101360 123051 152040 164068 205085 246102 287119 304080 328136 410170 492204 574238 615255 656272 820340 861357 984408 1148476 1230510 1435595 1640680 1722714 1968816 2296952 2461020 2871190 3281360 3445428 4306785 4593904 4922040 5742380 6890856 7424077 8613570 9844080 11484760 13781712 14848154 17227140 22272231 22969520 29696308 34454280 37120385 44544462 51968539 59392616 68908560 74240770 89088924 103937078 111361155 118785232 148481540 155905617 178177848 207874156 222722310 259842695 296963080 311811234 356355696 415748312 445444620 519685390 593926160 623622468 779528085 831496624 890889240 1039370780 1247244936 1559056170 1781778480 2078741560 2494489872 3118112340 4157483120 6236224680 12472449360