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106135796844 = 223271138288527
BaseRepresentation
bin110001011011000101…
…1111011110001101100
3101010221210020010011200
41202312023323301230
53214331230444334
6120431430245500
710445100250020
oct1426613736154
9333853203150
10106135796844
1141014988090
12186a07b6890
13a015a7366c
1451cbcdc380
152b62c48799
hex18b62fbc6c

106135796844 has 72 divisors (see below), whose sum is σ = 334488580608. Its totient is φ = 27567738720.

The previous prime is 106135796791. The next prime is 106135796929. The reversal of 106135796844 is 448697531601.

106135796844 is a `hidden beast` number, since 1 + 0 + 6 + 1 + 3 + 579 + 68 + 4 + 4 = 666.

It is a super-2 number, since 2×1061357968442 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19141492 + ... + 19147035.

Almost surely, 2106135796844 is an apocalyptic number.

106135796844 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

106135796844 is an abundant number, since it is smaller than the sum of its proper divisors (228352783764).

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

106135796844 is a wasteful number, since it uses less digits than its factorization.

106135796844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38288555 (or 38288550 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 106135796844 in words is "one hundred six billion, one hundred thirty-five million, seven hundred ninety-six thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 132 154 198 231 252 308 396 462 693 924 1386 2772 38288527 76577054 114865581 153154108 229731162 268019689 344596743 421173797 459462324 536039378 689193486 804059067 842347594 1072078756 1263521391 1378386972 1608118134 1684695188 2412177201 2527042782 2948216579 3216236268 3790564173 4824354402 5054085564 5896433158 7581128346 8844649737 9648708804 11792866316 15162256692 17689299474 26533949211 35378598948 53067898422 106135796844