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5185126089 = 33111317197401
BaseRepresentation
bin1001101010000111…
…01011111011001001
3111101100201200211000
410311003223323021
541104343013324
62214303125213
7242330562453
oct46503537311
914340650730
105185126089
112220960a80
1210085a3809
13648308a60
143728d12d3
152053239c9
hex1350ebec9

5185126089 has 128 divisors (see below), whose sum is σ = 9627932160. Its totient is φ = 2709504000.

The previous prime is 5185126081. The next prime is 5185126099. The reversal of 5185126089 is 9806215815.

It is a happy number.

5185126089 is a `hidden beast` number, since 51 + 8 + 512 + 6 + 0 + 89 = 666.

It is not a de Polignac number, because 5185126089 - 23 = 5185126081 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (5185126081) 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, 12930289 + ... + 12930689.

It is an arithmetic number, because the mean of its divisors is an integer number (75218220).

Almost surely, 25185126089 is an apocalyptic number.

It is an amenable number.

5185126089 is a deficient number, since it is larger than the sum of its proper divisors (4442806071).

5185126089 is a wasteful number, since it uses less digits than its factorization.

5185126089 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 45.

The square root of 5185126089 is about 72007.8196378699. The cubic root of 5185126089 is about 1730.8247917603.

The spelling of 5185126089 in words is "five billion, one hundred eighty-five million, one hundred twenty-six thousand, eighty-nine".

Divisors: 1 3 9 11 13 17 27 33 39 51 99 117 143 153 187 197 221 297 351 401 429 459 561 591 663 1203 1287 1683 1773 1989 2167 2431 2561 3349 3609 3861 4411 5049 5213 5319 5967 6501 6817 7293 7683 10047 10827 13233 15639 19503 20451 21879 23049 28171 30141 36839 39699 43537 46917 57343 58509 61353 65637 69147 74987 78997 84513 88621 90423 110517 119097 130611 140751 172029 184059 224961 236991 253539 265863 331551 391833 478907 516087 674883 710973 760617 797589 868967 974831 994653 1026961 1175499 1342949 1436721 1548261 2024649 2132919 2392767 2606901 2924493 3080883 4028847 4310163 7820703 8773479 9242649 11296571 12086541 12930489 14772439 17458337 23462109 26320437 27727947 33889713 36259623 44317317 52375011 101669139 132951951 157125033 192041707 305007417 398855853 471375099 576125121 1728375363 5185126089