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5331807936 = 263371341827
BaseRepresentation
bin1001111011100110…
…01110111011000000
3111202120201220111000
410331303032323000
541404420323221
62241023052000
7246061422360
oct47563167300
914676656430
105331807936
112296737244
121049741000
1366c815550
143881949a0
15213149e26
hex13dcceec0

5331807936 has 448 divisors, whose sum is σ = 19786152960. Its totient is φ = 1370234880.

The previous prime is 5331807931. The next prime is 5331807953. The reversal of 5331807936 is 6397081335.

5331807936 is a `hidden beast` number, since 533 + 1 + 80 + 7 + 9 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a junction number, because it is equal to n+sod(n) for n = 5331807891 and 5331807900.

It is not an unprimeable number, because it can be changed into a prime (5331807931) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6446755 + ... + 6447581.

It is an arithmetic number, because the mean of its divisors is an integer number (44165520).

Almost surely, 25331807936 is an apocalyptic number.

5331807936 is a gapful number since it is divisible by the number (56) 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 5331807936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9893076480).

5331807936 is an abundant number, since it is smaller than the sum of its proper divisors (14454345024).

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

5331807936 is a wasteful number, since it uses less digits than its factorization.

5331807936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 909 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The square root of 5331807936 is about 73019.2299055530. The cubic root of 5331807936 is about 1746.9943439258.

The spelling of 5331807936 in words is "five billion, three hundred thirty-one million, eight hundred seven thousand, nine hundred thirty-six".