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106555126432 = 2523831744289
BaseRepresentation
bin110001100111100101…
…1100011001010100000
3101012001000021021020011
41203033023203022200
53221211103021212
6120541210054304
710461351426166
oct1431713431240
9335030237204
10106555126432
114120a655667
121879911a394
13a0818c2191
14522b895236
152b899794a7
hex18cf2e32a0

106555126432 has 48 divisors (see below), whose sum is σ = 221538784320. Its totient is φ = 50347128832.

The previous prime is 106555126373. The next prime is 106555126463. The reversal of 106555126432 is 234621555601.

It is a super-2 number, since 2×1065551264322 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 811057 + ... + 933232.

It is an arithmetic number, because the mean of its divisors is an integer number (4615391340).

Almost surely, 2106555126432 is an apocalyptic number.

It is an amenable number.

106555126432 is an abundant number, since it is smaller than the sum of its proper divisors (114983657888).

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

106555126432 is a wasteful number, since it uses less digits than its factorization.

106555126432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1744405 (or 1744397 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 40.

The spelling of 106555126432 in words is "one hundred six billion, five hundred fifty-five million, one hundred twenty-six thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 23 32 46 83 92 166 184 332 368 664 736 1328 1909 2656 3818 7636 15272 30544 61088 1744289 3488578 6977156 13954312 27908624 40118647 55817248 80237294 144775987 160474588 289551974 320949176 579103948 641898352 1158207896 1283796704 2316415792 3329847701 4632831584 6659695402 13319390804 26638781608 53277563216 106555126432