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13045471488 = 283272115553
BaseRepresentation
bin11000010011001001…
…00001100100000000
31020200011100121121200
430021210201210000
5203204120041423
65554253421200
7641164451400
oct141144414400
936604317550
1013045471488
1155949128a5
122640a9a800
1312cb932aca
148ba804800
15515434d43
hex309921900

13045471488 has 162 divisors, whose sum is σ = 43754637654. Its totient is φ = 3727245312.

The previous prime is 13045471487. The next prime is 13045471511. The reversal of 13045471488 is 88417454031.

13045471488 is a `hidden beast` number, since 13 + 0 + 4 + 547 + 14 + 88 = 666.

It can be written as a sum of positive squares in only one way, i.e., 12443848704 + 601622784 = 111552^2 + 24528^2 .

It is not an unprimeable number, because it can be changed into a prime (13045471487) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 55120 + ... + 170672.

Almost surely, 213045471488 is an apocalyptic number.

13045471488 is a gapful number since it is divisible by the number (18) 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 13045471488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21877318827).

13045471488 is an abundant number, since it is smaller than the sum of its proper divisors (30709166166).

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

13045471488 is a wasteful number, since it uses less digits than its factorization.

13045471488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115589 (or 115565 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 13045471488 in words is "thirteen billion, forty-five million, four hundred seventy-one thousand, four hundred eighty-eight".