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10052655414138 = 2334112913517037
BaseRepresentation
bin1001001001001001000011…
…1101000111101101111010
31022121000122211200102212000
42102102100331013231322
52304200314241223023
633214043125201430
72055165113105241
oct222222075075572
938530584612760
1010052655414138
113226341a00007
121164331b60276
1357bc660a09cc
1426a7a03a7958
1512675c9b2243
hex92490f47b7a

10052655414138 has 64 divisors (see below), whose sum is σ = 22901826003840. Its totient is φ = 3266623036800.

The previous prime is 10052655414119. The next prime is 10052655414161. The reversal of 10052655414138 is 83141455625001.

10052655414138 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 2 + 65 + 541 + 41 + 3 + 8 = 666.

10052655414138 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10052655414093 and 10052655414102.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1099756 + ... + 4616792.

It is an arithmetic number, because the mean of its divisors is an integer number (357841031310).

Almost surely, 210052655414138 is an apocalyptic number.

10052655414138 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10052655414138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11450913001920).

10052655414138 is an abundant number, since it is smaller than the sum of its proper divisors (12849170589702).

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

10052655414138 is a wasteful number, since it uses less digits than its factorization.

10052655414138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3518380 (or 3518374 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 10052655414138 in words is "ten trillion, fifty-two billion, six hundred fifty-five million, four hundred fourteen thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 9 18 27 41 54 82 123 246 369 738 1107 1291 2214 2582 3873 7746 11619 23238 34857 52931 69714 105862 158793 317586 476379 952758 1429137 2858274 3517037 7034074 10551111 21102222 31653333 63306666 94959999 144198517 189919998 288397034 432595551 865191102 1297786653 2595573306 3893359959 4540494767 7786719918 9080989534 13621484301 27242968602 40864452903 81728905806 122593358709 186160285447 245186717418 372320570894 558480856341 1116961712682 1675442569023 3350885138046 5026327707069 10052655414138