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1006522132968 = 2332111270861279
BaseRepresentation
bin11101010010110010110…
…01001110100111101000
310120020000020222002221100
432221121121032213220
5112442324131223333
62050220114241400
7132501361652652
oct16513131164750
93506006862840
101006522132968
1135895555aa30
121430a2286260
1373bb7598911
1436a0472d6d2
151b2ae13a213
hexea5964e9e8

1006522132968 has 48 divisors (see below), whose sum is σ = 2973815395200. Its totient is φ = 305006706720.

The previous prime is 1006522132963. The next prime is 1006522133003. The reversal of 1006522132968 is 8692312256001.

1006522132968 is a `hidden beast` number, since 1 + 0 + 0 + 6 + 522 + 1 + 32 + 96 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (1006522132963) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 635429848 + ... + 635431431.

It is an arithmetic number, because the mean of its divisors is an integer number (61954487400).

Almost surely, 21006522132968 is an apocalyptic number.

1006522132968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1006522132968 is an abundant number, since it is smaller than the sum of its proper divisors (1967293262232).

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

1006522132968 is a wasteful number, since it uses less digits than its factorization.

1006522132968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1270861302 (or 1270861295 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

Adding to 1006522132968 its reverse (8692312256001), we get a palindrome (9698834388969).

The spelling of 1006522132968 in words is "one trillion, six billion, five hundred twenty-two million, one hundred thirty-two thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 1270861279 2541722558 3812583837 5083445116 7625167674 10166890232 11437751511 13979474069 15250335348 22875503022 27958948138 30500670696 41938422207 45751006044 55917896276 83876844414 91502012088 111835792552 125815266621 167753688828 251630533242 335507377656 503261066484 1006522132968