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45152221120000 = 2954141100691
BaseRepresentation
bin10100100010000110100100…
…00110011100011000000000
312220212111202220221020102221
422101003102012130120000
521404233222101320000
6240010351035420424
712340066063011511
oct1221032206343000
9186774686836387
1045152221120000
1113428a49785045
1250929775b4714
131c26ab4125967
14b215445caa08
155347a600c61a
hex2910d219c600

45152221120000 has 100 divisors (see below), whose sum is σ = 112734232182396. Its totient is φ = 18060888320000.

The previous prime is 45152221119991. The next prime is 45152221120007. The reversal of 45152221120000 is 2112225154.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45152221120007) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 70230346 + ... + 70870345.

Almost surely, 245152221120000 is an apocalyptic number.

45152221120000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45152221120000 is an abundant number, since it is smaller than the sum of its proper divisors (67582011062396).

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

45152221120000 is an frugal number, since it uses more digits than its factorization.

45152221120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141100729 (or 141100698 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 25.

Adding to 45152221120000 its reverse (2112225154), we get a palindrome (45154333345154).

The spelling of 45152221120000 in words is "forty-five trillion, one hundred fifty-two billion, two hundred twenty-one million, one hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 512 625 640 800 1000 1250 1280 1600 2000 2500 2560 3200 4000 5000 6400 8000 10000 12800 16000 20000 32000 40000 64000 80000 160000 320000 141100691 282201382 564402764 705503455 1128805528 1411006910 2257611056 2822013820 3527517275 4515222112 5644027640 7055034550 9030444224 11288055280 14110069100 17637586375 18060888448 22576110560 28220138200 35275172750 36121776896 45152221120 56440276400 70550345500 72243553792 88187931875 90304442240 112880552800 141100691000 176375863750 180608884480 225761105600 282201382000 352751727500 361217768960 451522211200 564402764000 705503455000 903044422400 1128805528000 1411006910000 1806088844800 2257611056000 2822013820000 4515222112000 5644027640000 9030444224000 11288055280000 22576110560000 45152221120000