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5220451331120 = 2451311021487889
BaseRepresentation
bin100101111110111101100…
…1001011010110000110000
3200111001220020012002001202
41023331323021122300300
51141012441020043440
615034124153350332
71046110436105204
oct113757311326060
920431806162052
105220451331120
111732a87752503
127039127083a8
132bb3954328ac
14140957a76b04
1590be1364615
hex4bf7b25ac30

5220451331120 has 80 divisors (see below), whose sum is σ = 12242206136160. Its totient is φ = 2070206361600.

The previous prime is 5220451330993. The next prime is 5220451331129. The reversal of 5220451331120 is 211331540225.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×52204513311203 (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (5220451331129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10456136 + ... + 10944024.

It is an arithmetic number, because the mean of its divisors is an integer number (153027576702).

Almost surely, 25220451331120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5220451331120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6121103068080).

5220451331120 is an abundant number, since it is smaller than the sum of its proper divisors (7021754805040).

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

5220451331120 is a wasteful number, since it uses less digits than its factorization.

5220451331120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489054 (or 489048 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 29.

Adding to 5220451331120 its reverse (211331540225), we get a palindrome (5431782871345).

The spelling of 5220451331120 in words is "five trillion, two hundred twenty billion, four hundred fifty-one million, three hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 131 262 524 655 1021 1048 1310 2042 2096 2620 4084 5105 5240 8168 10210 10480 16336 20420 40840 81680 133751 267502 487889 535004 668755 975778 1070008 1337510 1951556 2140016 2439445 2675020 3903112 4878890 5350040 7806224 9757780 10700080 19515560 39031120 63913459 127826918 255653836 319567295 498134669 511307672 639134590 996269338 1022615344 1278269180 1992538676 2490673345 2556538360 3985077352 4981346690 5113076720 7970154704 9962693380 19925386760 39850773520 65255641639 130511283278 261022566556 326278208195 522045133112 652556416390 1044090266224 1305112832780 2610225665560 5220451331120