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5478094724089 = 132432532792
BaseRepresentation
bin100111110110111011111…
…1000111101101111111001
3201101200220211200112012111
41033231313320331233321
51204223114222132324
615352334005412321
71103531202602401
oct117556770755771
921350824615174
105478094724089
111822279726a49
12745836a0a0a1
13309774ba7300
1414d1d9645801
15977701d7794
hex4fb77e3dbf9

5478094724089 has 81 divisors (see below), whose sum is σ = 6269152610637. Its totient is φ = 4784573731392.

The previous prime is 5478094724027. The next prime is 5478094724099. The reversal of 5478094724089 is 9804274908745.

The square root of 5478094724089 is 2340533.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 142179522489 + 5335915201600 = 377067^2 + 2309960^2 .

It is not a de Polignac number, because 5478094724089 - 211 = 5478094722041 is a prime.

It is not an unprimeable number, because it can be changed into a prime (5478094724099) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 69342971152 + ... + 69342971230.

Almost surely, 25478094724089 is an apocalyptic number.

5478094724089 is the 2340533-rd square number.

5478094724089 is the 1170267-th centered octagonal number.

It is an amenable number.

5478094724089 is a deficient number, since it is larger than the sum of its proper divisors (791057886548).

5478094724089 is an frugal number, since it uses more digits than its factorization.

5478094724089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 162570240, while the sum is 67.

The spelling of 5478094724089 in words is "five trillion, four hundred seventy-eight billion, ninety-four million, seven hundred twenty-four thousand, eighty-nine".

Divisors: 1 13 43 53 79 169 559 689 1027 1849 2279 2809 3397 4187 6241 7267 8957 13351 24037 29627 36517 44161 54431 81133 97997 120787 146071 180041 221911 268363 312481 330773 385151 474721 574093 707603 1054729 1273961 1570231 1898923 2340533 2884843 3488719 4300049 5193841 7741763 9542173 11539609 14223239 16561493 17530969 20413003 24685999 30426929 37502959 45353347 55900637 67519933 100642919 124048249 150014917 184902107 227902597 410313439 611599277 753831667 877759129 1308357947 1612627237 1950193921 2403727391 2962733761 5334074707 7950790601 9799811671 32414761681 69342971191 103360277813 127397551723 421391901853 5478094724089