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5634412544 = 2121780917
BaseRepresentation
bin1010011111101011…
…00101000000000000
3112112200010210222002
411033311211000000
543014402200134
62331033003132
7256424500505
oct51765450000
915480123862
105634412544
11243152a5a2
121112b534a8
136ba415a27
143b64454ac
1522e9c087e
hex14fd65000

5634412544 has 52 divisors (see below), whose sum is σ = 11930388084. Its totient is φ = 2651455488.

The previous prime is 5634412463. The next prime is 5634412571. The reversal of 5634412544 is 4452144365.

It can be written as a sum of positive squares in 2 ways, for example, as 2353414144 + 3280998400 = 48512^2 + 57280^2 .

It is a junction number, because it is equal to n+sod(n) for n = 5634412498 and 5634412507.

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 3 ways as a sum of consecutive naturals, for example, 29174 + ... + 110090.

Almost surely, 25634412544 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 5634412544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5965194042).

5634412544 is an abundant number, since it is smaller than the sum of its proper divisors (6295975540).

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

5634412544 is an equidigital number, since it uses as much as digits as its factorization.

5634412544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80958 (or 80936 counting only the distinct ones).

The product of its digits is 230400, while the sum is 38.

The square root of 5634412544 is about 75062.7240646115. The cubic root of 5634412544 is about 1779.4380821091.

The spelling of 5634412544 in words is "five billion, six hundred thirty-four million, four hundred twelve thousand, five hundred forty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 512 544 1024 1088 2048 2176 4096 4352 8704 17408 34816 69632 80917 161834 323668 647336 1294672 1375589 2589344 2751178 5178688 5502356 10357376 11004712 20714752 22009424 41429504 44018848 82859008 88037696 165718016 176075392 331436032 352150784 704301568 1408603136 2817206272 5634412544