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10058932166172 = 2232971795153321
BaseRepresentation
bin1001001001100000011100…
…0101000001111000011100
31022121121212021111110221120
42102120013011001320130
52304301143113304142
633221002025530540
72055506500445661
oct222300705017034
938547767443846
1010058932166172
113228a72a7678a
1211655a4043a50
1357c7265b7976
1426abd7c57a68
151269c8a657ec
hex92607141e1c

10058932166172 has 96 divisors (see below), whose sum is σ = 24933833164800. Its totient is φ = 3151358246400.

The previous prime is 10058932166119. The next prime is 10058932166177. The reversal of 10058932166172 is 27166123985001.

It is a super-2 number, since 2×100589321661722 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10058932166177) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 624729 + ... + 4528592.

It is an arithmetic number, because the mean of its divisors is an integer number (259727428800).

Almost surely, 210058932166172 is an apocalyptic number.

10058932166172 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10058932166172 is an abundant number, since it is smaller than the sum of its proper divisors (14874900998628).

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

10058932166172 is a wasteful number, since it uses less digits than its factorization.

10058932166172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5153507 (or 5153505 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 51.

The spelling of 10058932166172 in words is "ten trillion, fifty-eight billion, nine hundred thirty-two million, one hundred sixty-six thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 12 29 58 71 79 87 116 142 158 174 213 237 284 316 348 426 474 852 948 2059 2291 4118 4582 5609 6177 6873 8236 9164 11218 12354 13746 16827 22436 24708 27492 33654 67308 162661 325322 487983 650644 975966 1951932 5153321 10306642 15459963 20613284 30919926 61839852 149446309 298892618 365885791 407112359 448338927 597785236 731771582 814224718 896677854 1097657373 1221337077 1463543164 1628449436 1793355708 2195314746 2442674154 4390629492 4885348308 10610687939 11806258411 21221375878 23612516822 28904977489 31832063817 35418775233 42442751756 47225033644 57809954978 63664127634 70837550466 86714932467 115619909956 127328255268 141675100932 173429864934 346859729868 838244347181 1676488694362 2514733041543 3352977388724 5029466083086 10058932166172