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106274438521780 = 22510390756879309
BaseRepresentation
bin11000001010011111110010…
…001010000010001110110100
3111221021201220100100110210111
4120022133302022002032310
5102412200022230144110
61014005445243432404
731246034441456014
oct3012376212021664
9457251810313714
10106274438521780
1130953810a81a11
12bb04846525704
13473b83766c2a9
141c359d2d9dc44
15c44696cd4e8a
hex60a7f22823b4

106274438521780 has 48 divisors (see below), whose sum is σ = 225591534080640. Its totient is φ = 42050644887168.

The previous prime is 106274438521763. The next prime is 106274438521789. The reversal of 106274438521780 is 87125834472601.

It is a happy number.

It is a super-2 number, since 2×1062744385217802 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106274438521789) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26571235 + ... + 30308074.

It is an arithmetic number, because the mean of its divisors is an integer number (4699823626680).

Almost surely, 2106274438521780 is an apocalyptic number.

106274438521780 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106274438521780 is an abundant number, since it is smaller than the sum of its proper divisors (119317095558860).

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

106274438521780 is a wasteful number, since it uses less digits than its factorization.

106274438521780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56880328 (or 56880326 counting only the distinct ones).

The product of its (nonzero) digits is 18063360, while the sum is 58.

The spelling of 106274438521780 in words is "one hundred six trillion, two hundred seventy-four billion, four hundred thirty-eight million, five hundred twenty-one thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 20 103 206 412 515 907 1030 1814 2060 3628 4535 9070 18140 93421 186842 373684 467105 934210 1868420 56879309 113758618 227517236 284396545 568793090 1137586180 5858568827 11717137654 23434275308 29292844135 51589533263 58585688270 103179066526 117171376540 206358133052 257947666315 515895332630 1031790665260 5313721926089 10627443852178 21254887704356 26568609630445 53137219260890 106274438521780