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5014405600 = 255244314149
BaseRepresentation
bin1001010101110000…
…11100000111100000
3110221110111012022221
410222320130013200
540232141434400
62145324040424
7235155513211
oct45270340740
913843435287
105014405600
112143557166
12b7b393114
1361bb33809
14357d71408
151e534ec1a
hex12ae1c1e0

5014405600 has 72 divisors (see below), whose sum is σ = 12269917800. Its totient is φ = 2001093120.

The previous prime is 5014405579. The next prime is 5014405609. The reversal of 5014405600 is 65044105.

It is a super-2 number, since 2×50144056002 = 50288527042622720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5014405609) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 347326 + ... + 361474.

It is an arithmetic number, because the mean of its divisors is an integer number (170415525).

Almost surely, 25014405600 is an apocalyptic number.

5014405600 is a gapful number since it is divisible by the number (50) 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 5014405600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6134958900).

5014405600 is an abundant number, since it is smaller than the sum of its proper divisors (7255512200).

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

5014405600 is a wasteful number, since it uses less digits than its factorization.

5014405600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14612 (or 14599 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 5014405600 is about 70812.4678287659. The cubic root of 5014405600 is about 1711.6165873563.

Adding to 5014405600 its reverse (65044105), we get a palindrome (5079449705).

The spelling of 5014405600 in words is "five billion, fourteen million, four hundred five thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 443 800 886 1772 2215 3544 4430 7088 8860 11075 14149 14176 17720 22150 28298 35440 44300 56596 70745 70880 88600 113192 141490 177200 226384 282980 353725 354400 452768 565960 707450 1131920 1414900 2263840 2829800 5659600 6268007 11319200 12536014 25072028 31340035 50144056 62680070 100288112 125360140 156700175 200576224 250720280 313400350 501440560 626800700 1002881120 1253601400 2507202800 5014405600