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51411423040 = 2653717532477
BaseRepresentation
bin101111111000010111…
…000000111101000000
311220200221122220001021
4233320113000331000
51320242311014130
635341301115224
73500010612505
oct577027007500
9156627586037
1051411423040
111a89245407a
129b696b8b14
134b042ba9a3
1426b9d774ac
15150d74437a
hexbf85c0f40

51411423040 has 112 divisors (see below), whose sum is σ = 125854705872. Its totient is φ = 19989282816.

The previous prime is 51411423029. The next prime is 51411423059. The reversal of 51411423040 is 4032411415.

It can be written as a sum of positive squares in 8 ways, for example, as 1156544064 + 50254878976 = 34008^2 + 224176^2 .

It is a junction number, because it is equal to n+sod(n) for n = 51411422996 and 51411423014.

It is a congruent number.

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, 20754282 + ... + 20756758.

It is an arithmetic number, because the mean of its divisors is an integer number (1123702731).

Almost surely, 251411423040 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 51411423040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62927352936).

51411423040 is an abundant number, since it is smaller than the sum of its proper divisors (74443282832).

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

51411423040 is a wasteful number, since it uses less digits than its factorization.

51411423040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4284 (or 4274 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 51411423040 its reverse (4032411415), we get a palindrome (55443834455).

The spelling of 51411423040 in words is "fifty-one billion, four hundred eleven million, four hundred twenty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 64 74 80 148 160 185 296 320 370 592 740 1184 1480 1753 2368 2477 2960 3506 4954 5920 7012 8765 9908 11840 12385 14024 17530 19816 24770 28048 35060 39632 49540 56096 64861 70120 79264 91649 99080 112192 129722 140240 158528 183298 198160 259444 280480 324305 366596 396320 458245 518888 560960 648610 733192 792640 916490 1037776 1297220 1466384 1832980 2075552 2594440 2932768 3665960 4151104 4342181 5188880 5865536 7331920 8684362 10377760 14663840 17368724 20755520 21710905 29327680 34737448 43421810 69474896 86843620 138949792 160660697 173687240 277899584 321321394 347374480 642642788 694748960 803303485 1285285576 1389497920 1606606970 2570571152 3213213940 5141142304 6426427880 10282284608 12852855760 25705711520 51411423040