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5051014400 = 2852789221
BaseRepresentation
bin1001011010001000…
…00101110100000000
3111001000101010011102
410231010011310000
540321024430100
62153112433532
7236111625335
oct45504056400
914030333142
105051014400
112162190973
12b8b6a88a8
136265b0923
1435cb8098c
151e8681cd5
hex12d105d00

5051014400 has 54 divisors (see below), whose sum is σ = 12502065702. Its totient is φ = 2020403200.

The previous prime is 5051014369. The next prime is 5051014403. The reversal of 5051014400 is 44101505.

It can be written as a sum of positive squares in 3 ways, for example, as 1472103424 + 3578910976 = 38368^2 + 59824^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5051014403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 388211 + ... + 401010.

Almost surely, 25051014400 is an apocalyptic number.

5051014400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5051014400 is an abundant number, since it is smaller than the sum of its proper divisors (7451051302).

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

5051014400 is an equidigital number, since it uses as much as digits as its factorization.

5051014400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 789247 (or 789228 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 5051014400 is about 71070.4889528699. The cubic root of 5051014400 is about 1715.7718393389.

Adding to 5051014400 its reverse (44101505), we get a palindrome (5095115905).

The spelling of 5051014400 in words is "five billion, fifty-one million, fourteen thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 256 320 400 640 800 1280 1600 3200 6400 789221 1578442 3156884 3946105 6313768 7892210 12627536 15784420 19730525 25255072 31568840 39461050 50510144 63137680 78922100 101020288 126275360 157844200 202040576 252550720 315688400 505101440 631376800 1010202880 1262753600 2525507200 5051014400