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5190087690 = 2335191317723
BaseRepresentation
bin1001101010101101…
…00111010000001010
3111101201001202212000
410311112213100022
541112130301230
62215001331430
7242421005664
oct46526472012
914351052760
105190087690
11222373a777
12100a196b76
13649355208
14373423534
152059a3b60
hex1355a740a

5190087690 has 128 divisors (see below), whose sum is σ = 14681779200. Its totient is φ = 1301002560.

The previous prime is 5190087649. The next prime is 5190087697. The reversal of 5190087690 is 967800915.

It is a super-2 number, since 2×51900876902 = 53874020459779072200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (5190087697) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 668169 + ... + 675891.

It is an arithmetic number, because the mean of its divisors is an integer number (114701400).

Almost surely, 25190087690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5190087690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7340889600).

5190087690 is an abundant number, since it is smaller than the sum of its proper divisors (9491691510).

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

5190087690 is a wasteful number, since it uses less digits than its factorization.

5190087690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7889 (or 7883 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The square root of 5190087690 is about 72042.2632209733. The cubic root of 5190087690 is about 1731.3766860423.

The spelling of 5190087690 in words is "five billion, one hundred ninety million, eighty-seven thousand, six hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 38 45 54 57 90 95 114 131 135 171 190 262 270 285 342 393 513 570 655 786 855 1026 1179 1310 1710 1965 2358 2489 2565 3537 3930 4978 5130 5895 7074 7467 7723 11790 12445 14934 15446 17685 22401 23169 24890 35370 37335 38615 44802 46338 67203 69507 74670 77230 112005 115845 134406 139014 146737 208521 224010 231690 293474 336015 347535 417042 440211 672030 695070 733685 880422 1011713 1042605 1320633 1467370 2023426 2085210 2201055 2641266 3035139 3961899 4402110 5058565 6070278 6603165 7923798 9105417 10117130 13206330 15175695 18210834 19222547 19809495 27316251 30351390 38445094 39618990 45527085 54632502 57667641 91054170 96112735 115335282 136581255 173002923 192225470 273162510 288338205 346005846 519008769 576676410 865014615 1038017538 1730029230 2595043845 5190087690