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2199049280480 = 255132761106867
BaseRepresentation
bin100000000000000001100…
…011010001101111100000
321210020010112011222110102
4200000001203101233200
5242012123103433410
64402121305521532
7314606330321033
oct40000143215740
97706115158412
102199049280480
1177867aa98378
122b62351a32a8
1312c4a590c100
14786125b101a
153c307c572a5
hex200018d1be0

2199049280480 has 144 divisors (see below), whose sum is σ = 5633075118384. Its totient is φ = 810882109440.

The previous prime is 2199049280479. The next prime is 2199049280489. The reversal of 2199049280480 is 840829409912.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2199049280489) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20524007 + ... + 20630873.

It is an arithmetic number, because the mean of its divisors is an integer number (39118577211).

Almost surely, 22199049280480 is an apocalyptic number.

2199049280480 is a gapful number since it is divisible by the number (20) 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 2199049280480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2816537559192).

2199049280480 is an abundant number, since it is smaller than the sum of its proper divisors (3434025837904).

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

2199049280480 is a wasteful number, since it uses less digits than its factorization.

2199049280480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107669 (or 107648 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 56.

The spelling of 2199049280480 in words is "two trillion, one hundred ninety-nine billion, forty-nine million, two hundred eighty thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 169 208 260 338 416 520 676 761 845 1040 1352 1522 1690 2080 2704 3044 3380 3805 5408 6088 6760 7610 9893 12176 13520 15220 19786 24352 27040 30440 39572 49465 60880 79144 98930 106867 121760 128609 158288 197860 213734 257218 316576 395720 427468 514436 534335 643045 791440 854936 1028872 1068670 1286090 1389271 1582880 1709872 2057744 2137340 2572180 2778542 3419744 4115488 4274680 5144360 5557084 6946355 8549360 10288720 11114168 13892710 17098720 18060523 20577440 22228336 27785420 36121046 44456672 55570840 72242092 81325787 90302615 111141680 144484184 162651574 180605230 222283360 288968368 325303148 361210460 406628935 577936736 650606296 722420920 813257870 1057235231 1301212592 1444841840 1626515740 2114470462 2602425184 2889683680 3253031480 4228940924 5286176155 6506062960 8457881848 10572352310 13012125920 13744058003 16915763696 21144704620 27488116006 33831527392 42289409240 54976232012 68720290015 84578818480 109952464024 137440580030 169157636960 219904928048 274881160060 439809856096 549762320120 1099524640240 2199049280480