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5106040654140 = 223551050625649
BaseRepresentation
bin100101001001101011110…
…1111010100100100111100
3200002010120202022111100000
41022103113233110210330
51132124132401413030
614505403243434300
71034620306310166
oct112232757244474
920063522274300
105106040654140
111699506920508
126a5702825990
132b0661204c6a
141391c2b99936
158cc46e24860
hex4a4d7bd493c

5106040654140 has 72 divisors (see below), whose sum is σ = 16061964937200. Its totient is φ = 1361610839808.

The previous prime is 5106040654129. The next prime is 5106040654207. The reversal of 5106040654140 is 414560406015.

5106040654140 is a `hidden beast` number, since 5 + 1 + 0 + 60 + 406 + 54 + 140 = 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 = 5106040654095 and 5106040654104.

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, 525307965 + ... + 525317684.

It is an arithmetic number, because the mean of its divisors is an integer number (223082846350).

Almost surely, 25106040654140 is an apocalyptic number.

It is an amenable number.

5106040654140 is an abundant number, since it is smaller than the sum of its proper divisors (10955924283060).

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

5106040654140 is a wasteful number, since it uses less digits than its factorization.

5106040654140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1050625673 (or 1050625659 counting only the distinct ones).

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

The spelling of 5106040654140 in words is "five trillion, one hundred six billion, forty million, six hundred fifty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 810 972 1215 1620 2430 4860 1050625649 2101251298 3151876947 4202502596 5253128245 6303753894 9455630841 10506256490 12607507788 15759384735 18911261682 21012512980 28366892523 31518769470 37822523364 47278154205 56733785046 63037538940 85100677569 94556308410 113467570092 141834462615 170201355138 189112616820 255302032707 283668925230 340402710276 425503387845 510604065414 567337850460 851006775690 1021208130828 1276510163535 1702013551380 2553020327070 5106040654140