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5634933696 = 263371767409
BaseRepresentation
bin1010011111101111…
…00100001111000000
3112112201010021212000
411033313210033000
543020020334241
62331052104000
7256432101060
oct51767441700
915481107760
105634933696
1124318560a7
121113165000
136ba568cc2
143b653d3a0
1522ea74eb6
hex14fde43c0

5634933696 has 448 divisors, whose sum is σ = 20394777600. Its totient is φ = 1489010688.

The previous prime is 5634933671. The next prime is 5634933697. The reversal of 5634933696 is 6963394365.

It is a happy number.

5634933696 is a `hidden beast` number, since 5 + 63 + 493 + 3 + 6 + 96 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5634933697) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13777140 + ... + 13777548.

Almost surely, 25634933696 is an apocalyptic number.

5634933696 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 5634933696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10197388800).

5634933696 is an abundant number, since it is smaller than the sum of its proper divisors (14759843904).

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

5634933696 is a wasteful number, since it uses less digits than its factorization.

5634933696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521 (or 505 counting only the distinct ones).

The product of its digits is 9447840, while the sum is 54.

The square root of 5634933696 is about 75066.1954277689. The cubic root of 5634933696 is about 1779.4929431449.

The spelling of 5634933696 in words is "five billion, six hundred thirty-four million, nine hundred thirty-three thousand, six hundred ninety-six".