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5435189460 = 2232530195497
BaseRepresentation
bin1010000111111011…
…00110100011010100
3112000210021020021100
411003331212203110
542112402030320
62255154550100
7251455230261
oct50375464324
915023236240
105435189460
11233a028318
121078298330
1368807124c
14397bc6268
1521c26b790
hex143f668d4

5435189460 has 36 divisors (see below), whose sum is σ = 16486741908. Its totient is φ = 1449383808.

The previous prime is 5435189449. The next prime is 5435189471. The reversal of 5435189460 is 649815345.

5435189460 is a `hidden beast` number, since 5 + 4 + 3 + 5 + 189 + 460 = 666.

It is an interprime number because it is at equal distance from previous prime (5435189449) and next prime (5435189471).

It can be written as a sum of positive squares in 2 ways, for example, as 2268426384 + 3166763076 = 47628^2 + 56274^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15097569 + ... + 15097928.

It is an arithmetic number, because the mean of its divisors is an integer number (457965053).

Almost surely, 25435189460 is an apocalyptic number.

It is an amenable number.

5435189460 is an abundant number, since it is smaller than the sum of its proper divisors (11051552448).

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

5435189460 is a wasteful number, since it uses less digits than its factorization.

5435189460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30195512 (or 30195507 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 5435189460 is about 73723.7374256080. The cubic root of 5435189460 is about 1758.2133060531.

The spelling of 5435189460 in words is "five billion, four hundred thirty-five million, one hundred eighty-nine thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 30195497 60390994 90586491 120781988 150977485 181172982 271759473 301954970 362345964 452932455 543518946 603909940 905864910 1087037892 1358797365 1811729820 2717594730 5435189460