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1320643106472 = 2331743964311467
BaseRepresentation
bin10011001101111100011…
…101101001011010101000
311200020210212222220201010
4103031330131221122220
5133114134113401342
62450410045023520
7164261524121304
oct23157435513250
94606725886633
101320643106472
1146a099671668
12193b48854ba0
13976c7ab1441
1447cc3038d04
152454637629c
hex1337c7696a8

1320643106472 has 128 divisors (see below), whose sum is σ = 3509538278400. Its totient is φ = 412696747008.

The previous prime is 1320643106437. The next prime is 1320643106479. The reversal of 1320643106472 is 2746013460231.

It is a super-3 number, since 3×13206431064723 (a number of 37 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1320643106472.

It is not an unprimeable number, because it can be changed into a prime (1320643106479) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 115163283 + ... + 115174749.

It is an arithmetic number, because the mean of its divisors is an integer number (27418267800).

Almost surely, 21320643106472 is an apocalyptic number.

1320643106472 is a gapful number since it is divisible by the number (12) 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 1320643106472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1754769139200).

1320643106472 is an abundant number, since it is smaller than the sum of its proper divisors (2188895171928).

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

1320643106472 is a wasteful number, since it uses less digits than its factorization.

1320643106472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12575 (or 12571 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 39.

The spelling of 1320643106472 in words is "one trillion, three hundred twenty billion, six hundred forty-three million, one hundred six thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 408 439 643 878 1286 1317 1756 1929 2572 2634 3512 3858 5144 5268 7463 7716 10536 10931 11467 14926 15432 21862 22389 22934 29852 32793 34401 43724 44778 45868 59704 65586 68802 87448 89556 91736 131172 137604 179112 194939 262344 275208 282277 389878 564554 584817 779756 846831 1129108 1169634 1559512 1693662 2258216 2339268 3387324 4678536 4798709 5034013 6774648 7373281 9597418 10068026 14396127 14746562 15102039 19194836 20136052 22119843 28792254 29493124 30204078 38389672 40272104 44239686 57584508 58986248 60408156 85578221 88479372 115169016 120816312 125345777 171156442 176958744 250691554 256734663 342312884 376037331 501383108 513469326 684625768 752074662 1002766216 1026938652 1504149324 2053877304 3008298648 3236870359 6473740718 9710611077 12947481436 19421222154 25894962872 38842444308 55026796103 77684888616 110053592206 165080388309 220107184412 330160776618 440214368824 660321553236 1320643106472