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51011355120 = 24351183232801
BaseRepresentation
bin101111100000100000…
…111000000111110000
311212200001212100000220
4233200200320013300
51313432401330440
635233450213040
73454052235645
oct574040700760
9155601770026
1051011355120
111a6a7642130
129a77724180
134a6c4544cb
14267cb95dcc
1514d856a8d0
hexbe08381f0

51011355120 has 160 divisors (see below), whose sum is σ = 174590325504. Its totient is φ = 12217344000.

The previous prime is 51011354971. The next prime is 51011355127. The reversal of 51011355120 is 2155311015.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51011355127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 102720 + ... + 335520.

Almost surely, 251011355120 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 51011355120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87295162752).

51011355120 is an abundant number, since it is smaller than the sum of its proper divisors (123578970384).

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

51011355120 is a wasteful number, since it uses less digits than its factorization.

51011355120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232911 (or 232905 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 24.

Adding to 51011355120 its reverse (2155311015), we get a palindrome (53166666135).

The spelling of 51011355120 in words is "fifty-one billion, eleven million, three hundred fifty-five thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 83 88 110 120 132 165 166 176 220 240 249 264 330 332 415 440 498 528 660 664 830 880 913 996 1245 1320 1328 1660 1826 1992 2490 2640 2739 3320 3652 3984 4565 4980 5478 6640 7304 9130 9960 10956 13695 14608 18260 19920 21912 27390 36520 43824 54780 73040 109560 219120 232801 465602 698403 931204 1164005 1396806 1862408 2328010 2560811 2793612 3492015 3724816 4656020 5121622 5587224 6984030 7682433 9312040 10243244 11174448 12804055 13968060 15364866 18624080 19322483 20486488 25608110 27936120 30729732 38412165 38644966 40972976 51216220 55872240 57967449 61459464 76824330 77289932 96612415 102432440 115934898 122918928 153648660 154579864 193224830 204864880 212547313 231869796 289837245 307297320 309159728 386449660 425094626 463739592 579674490 614594640 637641939 772899320 850189252 927479184 1062736565 1159348980 1275283878 1545798640 1700378504 2125473130 2318697960 2550567756 3188209695 3400757008 4250946260 4637395920 5101135512 6376419390 8501892520 10202271024 12752838780 17003785040 25505677560 51011355120