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51242024000 = 265341915287
BaseRepresentation
bin101111101110010000…
…110011110001000000
311220021010220112020202
4233232100303301000
51314420424232000
635312410224332
73462553005656
oct575620636100
9156233815222
1051242024000
111a805872072
129b20a250a8
134aa818907b
1426a167cdd6
1514ed931dd5
hexbee433c40

51242024000 has 112 divisors (see below), whose sum is σ = 127212059520. Its totient is φ = 20446553600.

The previous prime is 51242023999. The next prime is 51242024021. The reversal of 51242024000 is 42024215.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3344357 + ... + 3359643.

It is an arithmetic number, because the mean of its divisors is an integer number (1135821960).

Almost surely, 251242024000 is an apocalyptic number.

51242024000 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 51242024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63606029760).

51242024000 is an abundant number, since it is smaller than the sum of its proper divisors (75970035520).

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

51242024000 is a wasteful number, since it uses less digits than its factorization.

51242024000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15733 (or 15713 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

Adding to 51242024000 its reverse (42024215), we get a palindrome (51284048215).

The spelling of 51242024000 in words is "fifty-one billion, two hundred forty-two million, twenty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 419 500 800 838 1000 1600 1676 2000 2095 3352 4000 4190 6704 8000 8380 10475 13408 15287 16760 20950 26816 30574 33520 41900 52375 61148 67040 76435 83800 104750 122296 134080 152870 167600 209500 244592 305740 335200 382175 419000 489184 611480 670400 764350 838000 978368 1222960 1528700 1676000 1910875 2445920 3057400 3352000 3821750 4891840 6114800 6405253 7643500 12229600 12810506 15287000 24459200 25621012 30574000 32026265 51242024 61148000 64052530 102484048 122296000 128105060 160131325 204968096 256210120 320262650 409936192 512420240 640525300 800656625 1024840480 1281050600 1601313250 2049680960 2562101200 3202626500 5124202400 6405253000 10248404800 12810506000 25621012000 51242024000