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106630552512 = 26321116829317
BaseRepresentation
bin110001101001110101…
…1010001101111000000
3101012020021012022100200
41203103223101233000
53221334410140022
6120552502445200
710463255512251
oct1432353215700
9335207168320
10106630552512
1141249192370
12187ba433800
13a0944106b3
1452378cab28
152b913c7bac
hex18d3ad1bc0

106630552512 has 84 divisors (see below), whose sum is σ = 333422448216. Its totient is φ = 32312286720.

The previous prime is 106630552477. The next prime is 106630552529. The reversal of 106630552512 is 215255036601.

106630552512 is a `hidden beast` number, since 1 + 0 + 6 + 630 + 5 + 5 + 2 + 5 + 12 = 666.

It is a super-2 number, since 2×1066305525122 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8408323 + ... + 8420994.

Almost surely, 2106630552512 is an apocalyptic number.

106630552512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106630552512 is an abundant number, since it is smaller than the sum of its proper divisors (226791895704).

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

106630552512 is a wasteful number, since it uses less digits than its factorization.

106630552512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16829346 (or 16829333 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 106630552512 in words is "one hundred six billion, six hundred thirty million, five hundred fifty-two thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 132 144 176 192 198 264 288 352 396 528 576 704 792 1056 1584 2112 3168 6336 16829317 33658634 50487951 67317268 100975902 134634536 151463853 185122487 201951804 269269072 302927706 370244974 403903608 538538144 555367461 605855412 740489948 807807216 1077076288 1110734922 1211710824 1480979896 1615614432 1666102383 2221469844 2423421648 2961959792 3231228864 3332204766 4442939688 4846843296 5923919584 6664409532 8885879376 9693686592 11847839168 13328819064 17771758752 26657638128 35543517504 53315276256 106630552512