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5195987460 = 2233516575807
BaseRepresentation
bin1001101011011010…
…00111101000000100
3111102010011111211000
410311231013220010
541120133044320
62215332013300
7242522110326
oct46555075004
914363144730
105195987460
112226aaa314
121010161230
1364a63c6c1
1437411b616
1520626bc90
hex135b47a04

5195987460 has 96 divisors (see below), whose sum is σ = 16177835520. Its totient is φ = 1384521984.

The previous prime is 5195987429. The next prime is 5195987471. The reversal of 5195987460 is 647895915.

5195987460 is a `hidden beast` number, since 5 + 1 + 9 + 598 + 7 + 46 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 5195987397 and 5195987406.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 891877 + ... + 897683.

It is an arithmetic number, because the mean of its divisors is an integer number (168519120).

Almost surely, 25195987460 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 5195987460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8088917760).

5195987460 is an abundant number, since it is smaller than the sum of its proper divisors (10981848060).

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

5195987460 is a wasteful number, since it uses less digits than its factorization.

5195987460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7482 (or 7474 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The square root of 5195987460 is about 72083.1981809908. The cubic root of 5195987460 is about 1732.0324781853.

The spelling of 5195987460 in words is "five billion, one hundred ninety-five million, nine hundred eighty-seven thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 1657 3314 4971 5807 6628 8285 9942 11614 14913 16570 17421 19884 23228 24855 29035 29826 33140 34842 44739 49710 52263 58070 59652 69684 74565 87105 89478 99420 104526 116140 149130 156789 174210 178956 209052 223695 261315 298260 313578 348420 447390 522630 627156 783945 894780 1045260 1567890 3135780 9622199 19244398 28866597 38488796 48110995 57733194 86599791 96221990 115466388 144332985 173199582 192443980 259799373 288665970 346399164 432998955 519598746 577331940 865997910 1039197492 1298996865 1731995820 2597993730 5195987460