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51250751040 = 2635244721817
BaseRepresentation
bin101111101110110010…
…000110011001000000
311220021202022220111110
4233232302012121000
51314430143013130
635313321243320
73463020124146
oct575662063100
9156252286443
1051250751040
111a80a7928a5
129b23933540
134aa9c233b8
1426a28b1596
1514ee5a7ab0
hexbeec86640

51250751040 has 112 divisors (see below), whose sum is σ = 162795094272. Its totient is φ = 13660655616.

The previous prime is 51250751039. The next prime is 51250751047. The reversal of 51250751040 is 4015705215.

It is a super-2 number, since 2×512507510402 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 51250750989 and 51250751007.

It is not an unprimeable number, because it can be changed into a prime (51250751047) by changing a digit.

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, 2338212 + ... + 2360028.

Almost surely, 251250751040 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 51250751040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81397547136).

51250751040 is an abundant number, since it is smaller than the sum of its proper divisors (111544343232).

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

51250751040 is a wasteful number, since it uses less digits than its factorization.

51250751040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24284 (or 24274 counting only the distinct ones).

The product of its (nonzero) digits is 7000, while the sum is 30.

The spelling of 51250751040 in words is "fifty-one billion, two hundred fifty million, seven hundred fifty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 2447 4894 7341 9788 12235 14682 19576 21817 24470 29364 36705 39152 43634 48940 58728 65451 73410 78304 87268 97880 109085 117456 130902 146820 156608 174536 195760 218170 234912 261804 293640 327255 349072 391520 436340 469824 523608 587280 654510 698144 783040 872680 1047216 1174560 1309020 1396288 1745360 2094432 2349120 2618040 3490720 4188864 5236080 6981440 10472160 20944320 53386199 106772398 160158597 213544796 266930995 320317194 427089592 533861990 640634388 800792985 854179184 1067723980 1281268776 1601585970 1708358368 2135447960 2562537552 3203171940 3416716736 4270895920 5125075104 6406343880 8541791840 10250150208 12812687760 17083583680 25625375520 51250751040