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13531054500 = 2232533006901
BaseRepresentation
bin11001001101000001…
…11000000110100100
31021221000001210021200
430212200320012210
5210202422221000
610114401242500
7656212031325
oct144640700644
937830053250
1013531054500
115813a22577
122757633430
13137840aa32
149250c644c
15542da1500
hex3268381a4

13531054500 has 72 divisors (see below), whose sum is σ = 42685980792. Its totient is φ = 3608280000.

The previous prime is 13531054487. The next prime is 13531054507. The reversal of 13531054500 is 545013531.

13531054500 is a `hidden beast` number, since 1 + 3 + 53 + 105 + 4 + 500 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2058073956 + 11472980544 = 45366^2 + 107112^2 .

It is not an unprimeable number, because it can be changed into a prime (13531054507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1498951 + ... + 1507950.

Almost surely, 213531054500 is an apocalyptic number.

13531054500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13531054500 is an abundant number, since it is smaller than the sum of its proper divisors (29154926292).

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

13531054500 is a wasteful number, since it uses less digits than its factorization.

13531054500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3006926 (or 3006911 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The spelling of 13531054500 in words is "thirteen billion, five hundred thirty-one million, fifty-four thousand, five hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 125 150 180 225 250 300 375 450 500 750 900 1125 1500 2250 4500 3006901 6013802 9020703 12027604 15034505 18041406 27062109 30069010 36082812 45103515 54124218 60138020 75172525 90207030 108248436 135310545 150345050 180414060 225517575 270621090 300690100 375862625 451035150 541242180 676552725 751725250 902070300 1127587875 1353105450 1503450500 2255175750 2706210900 3382763625 4510351500 6765527250 13531054500