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51438153240 = 23325178404927
BaseRepresentation
bin101111111001111100…
…111110111000011000
311220202210221220222200
4233321330332320120
51320321131400430
635344054050200
73500454042225
oct577174767030
9156683856880
1051438153240
111a8a6550951
129b76649960
134b099b9586
1426bd73494c
151510c74460
hexbf9f3ee18

51438153240 has 96 divisors (see below), whose sum is σ = 177007783680. Its totient is φ = 12909966336.

The previous prime is 51438153233. The next prime is 51438153251. The reversal of 51438153240 is 4235183415.

51438153240 is a `hidden beast` number, since 5 + 1 + 4 + 3 + 81 + 532 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 51438153195 and 51438153204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4196344 + ... + 4208583.

It is an arithmetic number, because the mean of its divisors is an integer number (1843831080).

Almost surely, 251438153240 is an apocalyptic number.

It is an amenable number.

51438153240 is an abundant number, since it is smaller than the sum of its proper divisors (125569630440).

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

51438153240 is a wasteful number, since it uses less digits than its factorization.

51438153240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8404961 (or 8404954 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 51438153240 in words is "fifty-one billion, four hundred thirty-eight million, one hundred fifty-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 30 34 36 40 45 51 60 68 72 85 90 102 120 136 153 170 180 204 255 306 340 360 408 510 612 680 765 1020 1224 1530 2040 3060 6120 8404927 16809854 25214781 33619708 42024635 50429562 67239416 75644343 84049270 100859124 126073905 142883759 151288686 168098540 201718248 252147810 285767518 302577372 336197080 378221715 428651277 504295620 571535036 605154744 714418795 756443430 857302554 1008591240 1143070072 1285953831 1428837590 1512886860 1714605108 2143256385 2571907662 2857675180 3025773720 3429210216 4286512770 5143815324 5715350360 6429769155 8573025540 10287630648 12859538310 17146051080 25719076620 51438153240