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5121554000 = 24535943403
BaseRepresentation
bin1001100010100010…
…01011011001010000
3111012221002220022012
410301101023121100
540442104212000
62204112402052
7240626330213
oct46121133120
914187086265
105121554000
112198a90362
12bab246328
136380aac34
143682a377a
151ee967735
hex13144b650

5121554000 has 80 divisors (see below), whose sum is σ = 12594104640. Its totient is φ = 2013852800.

The previous prime is 5121553981. The next prime is 5121554041. The reversal of 5121554000 is 4551215.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 96299 + ... + 139701.

It is an arithmetic number, because the mean of its divisors is an integer number (157426308).

Almost surely, 25121554000 is an apocalyptic number.

5121554000 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 5121554000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6297052320).

5121554000 is an abundant number, since it is smaller than the sum of its proper divisors (7472550640).

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

5121554000 is a wasteful number, since it uses less digits than its factorization.

5121554000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43485 (or 43469 counting only the distinct ones).

The product of its (nonzero) digits is 1000, while the sum is 23.

The square root of 5121554000 is about 71565.0333612722. The cubic root of 5121554000 is about 1723.7221089444.

The spelling of 5121554000 in words is "five billion, one hundred twenty-one million, five hundred fifty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 59 80 100 118 125 200 236 250 295 400 472 500 590 944 1000 1180 1475 2000 2360 2950 4720 5900 7375 11800 14750 23600 29500 43403 59000 86806 118000 173612 217015 347224 434030 694448 868060 1085075 1736120 2170150 2560777 3472240 4340300 5121554 5425375 8680600 10243108 10850750 12803885 17361200 20486216 21701500 25607770 40972432 43403000 51215540 64019425 86806000 102431080 128038850 204862160 256077700 320097125 512155400 640194250 1024310800 1280388500 2560777000 5121554000