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13041446544 = 2432731213463
BaseRepresentation
bin11000010010101010…
…01010111010010000
31020122212210010102200
430021111022322100
5203202102242134
65554031243200
7641115316020
oct141125127220
936585703380
1013041446544
1155926138a5
12263b679500
1312cab53a99
148ba077a80
15514ddc499
hex30954ae90

13041446544 has 180 divisors, whose sum is σ = 43104080448. Its totient is φ = 3605662080.

The previous prime is 13041446527. The next prime is 13041446557. The reversal of 13041446544 is 44564414031.

13041446544 is a `hidden beast` number, since 1 + 30 + 41 + 4 + 46 + 544 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13041446499 and 13041446508.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 961957 + ... + 975419.

Almost surely, 213041446544 is an apocalyptic number.

13041446544 is a gapful number since it is divisible by the number (14) 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 13041446544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21552040224).

13041446544 is an abundant number, since it is smaller than the sum of its proper divisors (30062633904).

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

13041446544 is a wasteful number, since it uses less digits than its factorization.

13041446544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13546 (or 13506 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 13041446544 in words is "thirteen billion, forty-one million, four hundred forty-six thousand, five hundred forty-four".