Search a number
-
+
13746020500 = 2253167164623
BaseRepresentation
bin11001100110101001…
…11010000010010100
31022110222120012012101
430303110322002110
5211122440124000
610152000531444
7664432150342
oct146324720224
938428505171
1013746020500
1159142a7723
1227b7620b84
1313b0b05054
14945882992
15556bb4e6a
hex33353a094

13746020500 has 48 divisors (see below), whose sum is σ = 30201260544. Its totient is φ = 5465450400.

The previous prime is 13746020473. The next prime is 13746020507. The reversal of 13746020500 is 502064731.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13746020507) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1189 + ... + 165811.

It is an arithmetic number, because the mean of its divisors is an integer number (629192928).

Almost surely, 213746020500 is an apocalyptic number.

13746020500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13746020500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15100630272).

13746020500 is an abundant number, since it is smaller than the sum of its proper divisors (16455240044).

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

13746020500 is a wasteful number, since it uses less digits than its factorization.

13746020500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164809 (or 164797 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The spelling of 13746020500 in words is "thirteen billion, seven hundred forty-six million, twenty thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 167 250 334 500 668 835 1670 3340 4175 8350 16700 20875 41750 83500 164623 329246 658492 823115 1646230 3292460 4115575 8231150 16462300 20577875 27492041 41155750 54984082 82311500 109968164 137460205 274920410 549840820 687301025 1374602050 2749204100 3436505125 6873010250 13746020500