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5186909088 = 25333126247
BaseRepresentation
bin1001101010010100…
…11111001110100000
3111101111002021122000
410311022133032200
541110322042323
62214405244000
7242351666634
oct46512371640
914344067560
105186909088
112221969629
121009103600
136487b149a
14372c36dc4
15205576e43
hex13529f3a0

5186909088 has 144 divisors (see below), whose sum is σ = 15634745280. Its totient is φ = 1672928640.

The previous prime is 5186909081. The next prime is 5186909093. The reversal of 5186909088 is 8809096815.

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 not an unprimeable number, because it can be changed into a prime (5186909081) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 827181 + ... + 833427.

It is an arithmetic number, because the mean of its divisors is an integer number (108574620).

Almost surely, 25186909088 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 5186909088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7817372640).

5186909088 is an abundant number, since it is smaller than the sum of its proper divisors (10447836192).

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

5186909088 is a wasteful number, since it uses less digits than its factorization.

5186909088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6328 (or 6283 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 54.

The square root of 5186909088 is about 72020.1991666227. The cubic root of 5186909088 is about 1731.0231607845.

The spelling of 5186909088 in words is "five billion, one hundred eighty-six million, nine hundred nine thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 72 93 96 108 124 144 186 216 248 279 288 372 432 496 558 744 837 864 961 992 1116 1488 1674 1922 2232 2883 2976 3348 3844 4464 5766 6247 6696 7688 8649 8928 11532 12494 13392 15376 17298 18741 23064 24988 25947 26784 30752 34596 37482 46128 49976 51894 56223 69192 74964 92256 99952 103788 112446 138384 149928 168669 193657 199904 207576 224892 276768 299856 337338 387314 415152 449784 580971 599712 674676 774628 830304 899568 1161942 1349352 1549256 1742913 1799136 2323884 2698704 3098512 3485826 4647768 5228739 5397408 6003367 6197024 6971652 9295536 10457478 12006734 13943304 18010101 18591072 20914956 24013468 27886608 36020202 41829912 48026936 54030303 55773216 72040404 83659824 96053872 108060606 144080808 162090909 167319648 192107744 216121212 288161616 324181818 432242424 576323232 648363636 864484848 1296727272 1728969696 2593454544 5186909088