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5452316064040 = 2352944392
BaseRepresentation
bin100111101010111011101…
…0111001011100100101000
3201022020101021120220121111
41033111313113023210220
51203312320403022130
615332432011320104
71101626321604166
oct117256727134450
921266337526544
105452316064040
11181235030511a
12740841750034
133071c7250201
1414bc71aca236
1596c61ea602a
hex4f5775cb928

5452316064040 has 120 divisors (see below), whose sum is σ = 12734851689090. Its totient is φ = 2100925432704.

The previous prime is 5452316064037. The next prime is 5452316064059. The reversal of 5452316064040 is 404606132545.

It can be written as a sum of positive squares in 5 ways, for example, as 714893924196 + 4737422139844 = 845514^2 + 2176562^2 .

It is a super-2 number, since 2×54523160640402 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 5452316063984 and 5452316064002.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 12419854141 + ... + 12419854579.

Almost surely, 25452316064040 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 5452316064040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6367425844545).

5452316064040 is an abundant number, since it is smaller than the sum of its proper divisors (7282535625050).

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

5452316064040 is an frugal number, since it uses more digits than its factorization.

5452316064040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1005 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 40.

Multiplying 5452316064040 by its sum of digits (40), we get a square (218092642561600 = 147679602).

5452316064040 divided by its sum of digits (40) gives a square (136307901601 = 3691992).

The spelling of 5452316064040 in words is "five trillion, four hundred fifty-two billion, three hundred sixteen million, sixty-four thousand, forty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 439 580 841 878 1160 1682 1756 2195 3364 3512 4205 4390 6728 8410 8780 12731 16820 17560 24389 25462 33640 48778 50924 63655 97556 101848 121945 127310 192721 195112 243890 254620 369199 385442 487780 509240 707281 738398 770884 963605 975560 1414562 1476796 1541768 1845995 1927210 2829124 2953592 3536405 3691990 3854420 5588909 5658248 7072810 7383980 7708840 10706771 11177818 14145620 14767960 21413542 22355636 27944545 28291240 42827084 44711272 53533855 55889090 85654168 107067710 111778180 162078361 214135420 223556360 310496359 324156722 428270840 620992718 648313444 810391805 1241985436 1296626888 1552481795 1620783610 2483970872 3104963590 3241567220 4700272469 6209927180 6483134440 9400544938 12419854360 18801089876 23501362345 37602179752 47002724690 94005449380 136307901601 188010898760 272615803202 545231606404 681539508005 1090463212808 1363079016010 2726158032020 5452316064040