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5385960864 = 25354714737
BaseRepresentation
bin1010000010000011…
…10011110110100000
3111220100122011100000
411001001303312200
542012301221424
62250235500000
7250316624544
oct50101636640
914810564300
105385960864
112314264129
1210638b7600
1367aac5cbb
1439144da24
15217c953c9
hex141073da0

5385960864 has 144 divisors (see below), whose sum is σ = 16222647168. Its totient is φ = 1757002752.

The previous prime is 5385960857. The next prime is 5385960889. The reversal of 5385960864 is 4680695835.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 5385960864.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 358104 + ... + 372840.

It is an arithmetic number, because the mean of its divisors is an integer number (112657272).

Almost surely, 25385960864 is an apocalyptic number.

5385960864 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5385960864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8111323584).

5385960864 is an abundant number, since it is smaller than the sum of its proper divisors (10836686304).

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

5385960864 is a wasteful number, since it uses less digits than its factorization.

5385960864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14809 (or 14789 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The square root of 5385960864 is about 73389.1058945400. The cubic root of 5385960864 is about 1752.8889277709. Note that the first 3 decimals are identical.

The spelling of 5385960864 in words is "five billion, three hundred eighty-five million, nine hundred sixty thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 47 48 54 72 81 94 96 108 141 144 162 188 216 243 282 288 324 376 423 432 486 564 648 752 846 864 972 1128 1269 1296 1504 1692 1944 2256 2538 2592 3384 3807 3888 4512 5076 6768 7614 7776 10152 11421 13536 14737 15228 20304 22842 29474 30456 40608 44211 45684 58948 60912 88422 91368 117896 121824 132633 176844 182736 235792 265266 353688 365472 397899 471584 530532 692639 707376 795798 1061064 1193697 1385278 1414752 1591596 2077917 2122128 2387394 2770556 3183192 3581091 4155834 4244256 4774788 5541112 6233751 6366384 7162182 8311668 9549576 11082224 12467502 12732768 14324364 16623336 18701253 19099152 22164448 24935004 28648728 33246672 37402506 38198304 49870008 56103759 57297456 66493344 74805012 99740016 112207518 114594912 149610024 168311277 199480032 224415036 299220048 336622554 448830072 598440096 673245108 897660144 1346490216 1795320288 2692980432 5385960864