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5623623936 = 28347174353
BaseRepresentation
bin1010011110011000…
…11011000100000000
3112111220211200210000
411033030123010000
543004121431221
62330005440000
7256234005030
oct51714330400
915456750700
105623623936
112426430997
12110b410000
136b8109238
143b4c378c0
1522da8de26
hex14f31b100

5623623936 has 720 divisors, whose sum is σ = 21155105664. Its totient is φ = 1449197568.

The previous prime is 5623623911. The next prime is 5623623949. The reversal of 5623623936 is 6393263265.

5623623936 is a `hidden beast` number, since 562 + 36 + 23 + 9 + 36 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 5623623891 and 5623623900.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 106106086 + ... + 106106138.

Almost surely, 25623623936 is an apocalyptic number.

5623623936 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 5623623936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10577552832).

5623623936 is an abundant number, since it is smaller than the sum of its proper divisors (15531481728).

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

5623623936 is a wasteful number, since it uses less digits than its factorization.

5623623936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 125 counting only the distinct ones).

The product of its digits is 1049760, while the sum is 45.

The square root of 5623623936 is about 74990.8256788789. The cubic root of 5623623936 is about 1778.3016178153.

The spelling of 5623623936 in words is "five billion, six hundred twenty-three million, six hundred twenty-three thousand, nine hundred thirty-six".