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5472426242745 = 3357112753191227
BaseRepresentation
bin100111110100010011000…
…0001011011001010111001
3201101011021210102211122000
41033220212001123022321
51204130012104231440
615345555314251213
71103240552365620
oct117504601331271
921334253384560
105472426242745
11181a92aa48020
12744714586b09
133090806c3637
1414cc1c8926b7
159753c737730
hex4fa2605b2b9

5472426242745 has 128 divisors (see below), whose sum is σ = 12133829652480. Its totient is φ = 2273417072640.

The previous prime is 5472426242743. The next prime is 5472426242851.

5472426242745 is a `hidden beast` number, since 5 + 4 + 7 + 2 + 4 + 2 + 624 + 2 + 7 + 4 + 5 = 666.

5472426242745 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5472426242745 - 21 = 5472426242743 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 5472426242691 and 5472426242700.

It is not an unprimeable number, because it can be changed into a prime (5472426242743) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 28521822 + ... + 28713048.

It is an arithmetic number, because the mean of its divisors is an integer number (94795544160).

Almost surely, 25472426242745 is an apocalyptic number.

5472426242745 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

5472426242745 is an abundant number, since it is smaller than the sum of its proper divisors (6661403409735).

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

5472426242745 is a wasteful number, since it uses less digits than its factorization.

5472426242745 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194012 (or 194006 counting only the distinct ones).

The product of its digits is 30105600, while the sum is 54.

The spelling of 5472426242745 in words is "five trillion, four hundred seventy-two billion, four hundred twenty-six million, two hundred forty-two thousand, seven hundred forty-five".

Divisors: 1 3 5 7 9 11 15 21 27 33 35 45 55 63 77 99 105 135 165 189 231 297 315 385 495 693 945 1155 1485 2079 2753 3465 8259 10395 13765 19271 24777 30283 41295 57813 74331 90849 96355 123885 151415 173439 191227 211981 272547 289065 371655 454245 520317 573681 635943 817641 867195 956135 1059905 1338589 1362735 1721043 1907829 2103497 2601585 2868405 3179715 4015767 4088205 5163129 5723487 6310491 6692945 8605215 9539145 10517485 12047301 14724479 18931473 20078835 25815645 28617435 31552455 36141903 44173437 56794419 60236505 73622395 94657365 132520311 180709515 220867185 283972095 397560933 526447931 662601555 1579343793 1987804665 2632239655 3685135517 4738031379 5790927241 7896718965 11055406551 14214094137 17372781723 18425677585 23690156895 28954636205 33166219653 40536490687 52118345169 55277032755 71070470685 86863908615 99498658959 121609472061 156355035507 165831098265 202682453435 260591725845 364828416183 497493294795 608047360305 781775177535 1094485248549 1824142080915 5472426242745