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1006526412472 = 23730195953523
BaseRepresentation
bin11101010010110011010…
…01100011011010111000
310120020000120000112022111
432221121221203122320
5112442331230144342
62050220350102104
7132501443225440
oct16513151433270
93506016015274
101006526412472
11358957a13209
121430a37aa934
1373bb8436779
1436a05125120
151b2ae6d3217
hexea59a636b8

1006526412472 has 32 divisors (see below), whose sum is σ = 2157557097600. Its totient is φ = 431225505504.

The previous prime is 1006526412379. The next prime is 1006526412473. The reversal of 1006526412472 is 2742146256001.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006526412473) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2807698 + ... + 3145825.

It is an arithmetic number, because the mean of its divisors is an integer number (67423659300).

Almost surely, 21006526412472 is an apocalyptic number.

It is an amenable number.

1006526412472 is an abundant number, since it is smaller than the sum of its proper divisors (1151030685128).

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

1006526412472 is a wasteful number, since it uses less digits than its factorization.

1006526412472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5956555 (or 5956551 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 40.

The spelling of 1006526412472 in words is "one trillion, six billion, five hundred twenty-six million, four hundred twelve thousand, four hundred seventy-two".

Divisors: 1 2 4 7 8 14 28 56 3019 6038 12076 21133 24152 42266 84532 169064 5953523 11907046 23814092 41674661 47628184 83349322 166698644 333397288 17973685937 35947371874 71894743748 125815801559 143789487496 251631603118 503263206236 1006526412472