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5632063920 = 2433572127419
BaseRepresentation
bin1010011111011001…
…00111100110110000
3112112111201111021000
411033230213212300
543013302021140
62330510402000
7256365516300
oct51754474660
915474644230
105632063920
112430175a8a
121112200300
136b9aa2a02
143b5dd3600
1522e6a9a30
hex14fb279b0

5632063920 has 480 divisors, whose sum is σ = 22798540800. Its totient is φ = 1274144256.

The previous prime is 5632063907. The next prime is 5632063939. The reversal of 5632063920 is 293602365.

5632063920 is a `hidden beast` number, since 5 + 63 + 206 + 392 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13441471 + ... + 13441889.

It is an arithmetic number, because the mean of its divisors is an integer number (47496960).

Almost surely, 25632063920 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 5632063920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11399270400).

5632063920 is an abundant number, since it is smaller than the sum of its proper divisors (17166476880).

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

5632063920 is a wasteful number, since it uses less digits than its factorization.

5632063920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 582 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 5632063920 is about 75047.0780243975. The cubic root of 5632063920 is about 1779.1908033394.

The spelling of 5632063920 in words is "five billion, six hundred thirty-two million, sixty-three thousand, nine hundred twenty".