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45530835696 = 24332371233277
BaseRepresentation
bin101010011001110110…
…010110101011110000
311100112010022002202000
4222121312112223300
51221221343220241
632525551454000
73201203501133
oct523166265360
9140463262660
1045530835696
1118344a73835
1289a8227300
1343a7ba16c8
1422bcd7021a
1512b7347eb6
hexa99d96af0

45530835696 has 320 divisors, whose sum is σ = 139388221440. Its totient is φ = 14199736320.

The previous prime is 45530835671. The next prime is 45530835731. The reversal of 45530835696 is 69653803554.

It is a happy number.

45530835696 is a `hidden beast` number, since 4 + 553 + 0 + 83 + 5 + 6 + 9 + 6 = 666.

It is a super-2 number, since 2×455308356962 (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 164371110 + ... + 164371386.

It is an arithmetic number, because the mean of its divisors is an integer number (435588192).

Almost surely, 245530835696 is an apocalyptic number.

45530835696 is a gapful number since it is divisible by the number (46) 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 45530835696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69694110720).

45530835696 is an abundant number, since it is smaller than the sum of its proper divisors (93857385744).

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

45530835696 is a wasteful number, since it uses less digits than its factorization.

45530835696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 11664000, while the sum is 54.

The spelling of 45530835696 in words is "forty-five billion, five hundred thirty million, eight hundred thirty-five thousand, six hundred ninety-six".