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5332106000 = 245313205081
BaseRepresentation
bin1001111011101000…
…10111101100010000
3111202121022001100102
410331310113230100
541410004343000
62241033311532
7246064103354
oct47564275420
914677261312
105332106000
112296920181
1210498655a8
1366c8bb110
14388231464
152131a83d5
hex13dd17b10

5332106000 has 80 divisors (see below), whose sum is σ = 13884871728. Its totient is φ = 1968768000.

The previous prime is 5332105993. The next prime is 5332106011. The reversal of 5332106000 is 6012335.

It can be written as a sum of positive squares in 8 ways, for example, as 1673791744 + 3658314256 = 40912^2 + 60484^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

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 15 ways as a sum of consecutive naturals, for example, 76541 + ... + 128540.

Almost surely, 25332106000 is an apocalyptic number.

5332106000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5332106000 is an abundant number, since it is smaller than the sum of its proper divisors (8552765728).

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

5332106000 is a wasteful number, since it uses less digits than its factorization.

5332106000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205117 (or 205101 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

The square root of 5332106000 is about 73021.2708736297. The cubic root of 5332106000 is about 1747.0268973877.

Adding to 5332106000 its reverse (6012335), we get a palindrome (5338118335).

The spelling of 5332106000 in words is "five billion, three hundred thirty-two million, one hundred six thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 125 130 200 208 250 260 325 400 500 520 650 1000 1040 1300 1625 2000 2600 3250 5200 6500 13000 26000 205081 410162 820324 1025405 1640648 2050810 2666053 3281296 4101620 5127025 5332106 8203240 10254050 10664212 13330265 16406480 20508100 21328424 25635125 26660530 41016200 42656848 51270250 53321060 66651325 82032400 102540500 106642120 133302650 205081000 213284240 266605300 333256625 410162000 533210600 666513250 1066421200 1333026500 2666053000 5332106000