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5193075969 = 361721572
BaseRepresentation
bin1001101011000100…
…00000110100000001
3111101220200121000000
410311202000310001
541113411412334
62215145350213
7242455263114
oct46542006401
914356617000
105193075969
1122253a0924
12100b198369
13649b60423
143739a057b
15205d94299
hex135880d01

5193075969 has 63 divisors (see below), whose sum is σ = 8324013657. Its totient is φ = 3237646464.

The previous prime is 5193075929. The next prime is 5193075989. The reversal of 5193075969 is 9695703915.

The square root of 5193075969 is 72063.

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

5193075969 is a `hidden beast` number, since 5 + 19 + 30 + 7 + 596 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 34963569 + 5158112400 = 5913^2 + 71820^2 .

It is not a de Polignac number, because 5193075969 - 27 = 5193075841 is a prime.

It is a super-2 number, since 2×51930759692 = 53936076039610577922, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5193075929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 33076839 + ... + 33076995.

Almost surely, 25193075969 is an apocalyptic number.

5193075969 is the 72063-rd square number.

5193075969 is the 36032-nd centered octagonal number.

It is an amenable number.

5193075969 is a deficient number, since it is larger than the sum of its proper divisors (3130937688).

5193075969 is an frugal number, since it uses more digits than its factorization.

5193075969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 2296350, while the sum is 54.

The cubic root of 5193075969 is about 1731.7089118957.

The spelling of 5193075969 in words is "five billion, one hundred ninety-three million, seventy-five thousand, nine hundred sixty-nine".

Divisors: 1 3 9 17 27 51 81 153 157 243 289 459 471 729 867 1377 1413 2601 2669 4131 4239 7803 8007 12393 12717 23409 24021 24649 38151 45373 70227 72063 73947 114453 136119 210681 216189 221841 408357 419033 648567 665523 1225071 1257099 1945701 1996569 3675213 3771297 5989707 7123561 11025639 11313891 17969121 21370683 33076917 33941673 64112049 101825019 192336147 305475057 577008441 1731025323 5193075969