Search a number
-
+
10060056006210 = 2325757727674771
BaseRepresentation
bin1001001001100100101000…
…0100001000111001000010
31022121201202121012110122200
42102121022010020321002
52304310443314144320
633221305333414030
72055546365103360
oct222311204107102
938551677173580
1010060056006210
11322949a394401
12116585849a316
1357c875394882
1426aca3200630
15126a4255a290
hex9264a108e42

10060056006210 has 96 divisors (see below), whose sum is σ = 29944546100352. Its totient is φ = 2295456122880.

The previous prime is 10060056006199. The next prime is 10060056006257. The reversal of 10060056006210 is 1260065006001.

It is a happy number.

10060056006210 is a `hidden beast` number, since 1 + 0 + 0 + 600 + 56 + 0 + 0 + 6 + 2 + 1 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13473876 + ... + 14200895.

It is an arithmetic number, because the mean of its divisors is an integer number (311922355212).

Almost surely, 210060056006210 is an apocalyptic number.

10060056006210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10060056006210 is an abundant number, since it is smaller than the sum of its proper divisors (19884490094142).

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

10060056006210 is a wasteful number, since it uses less digits than its factorization.

10060056006210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27675368 (or 27675365 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 10060056006210 in words is "ten trillion, sixty billion, fifty-six million, six thousand, two hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 577 630 1154 1731 2885 3462 4039 5193 5770 8078 8655 10386 12117 17310 20195 24234 25965 36351 40390 51930 60585 72702 121170 181755 363510 27674771 55349542 83024313 138373855 166048626 193723397 249072939 276747710 387446794 415121565 498145878 581170191 830243130 968616985 1162340382 1245364695 1743510573 1937233970 2490729390 2905850955 3487021146 5811701910 8717552865 15968342867 17435105730 31936685734 47905028601 79841714335 95810057202 111778400069 143715085803 159683428670 223556800138 239525143005 287430171606 335335200207 479050286010 558892000345 670670400414 718575429015 1006005600621 1117784000690 1437150858030 1676676001035 2012011201242 3353352002070 5030028003105 10060056006210