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5634115344 = 24321113419653
BaseRepresentation
bin1010011111101000…
…11100011100010000
3112112122120201021200
411033310130130100
543014313142334
62331022351200
7256422122154
oct51764343420
915478521250
105634115344
112431347280
121112a2b500
136ba340680
143b63a9064
1522e962799
hex14fd1c710

5634115344 has 240 divisors, whose sum is σ = 18596934720. Its totient is φ = 1569807360.

The previous prime is 5634115337. The next prime is 5634115373. The reversal of 5634115344 is 4435114365.

5634115344 is a `hidden beast` number, since 5 + 634 + 1 + 15 + 3 + 4 + 4 = 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 = 5634115299 and 5634115308.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8627722 + ... + 8628374.

It is an arithmetic number, because the mean of its divisors is an integer number (77487228).

Almost surely, 25634115344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5634115344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9298467360).

5634115344 is an abundant number, since it is smaller than the sum of its proper divisors (12962819376).

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

5634115344 is a wasteful number, since it uses less digits than its factorization.

5634115344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1110 (or 1101 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 5634115344 is about 75060.7443608175. The cubic root of 5634115344 is about 1779.4067947127.

The spelling of 5634115344 in words is "five billion, six hundred thirty-four million, one hundred fifteen thousand, three hundred forty-four".