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1006134088856 = 231317569080367
BaseRepresentation
bin11101010010000100100…
…00111101010010011000
310120012000012210102111012
432221002100331102120
5112441030311320411
62050113413153052
7132455640435011
oct16510220752230
93505005712435
101006134088856
11358776510716
12142bb432b788
1373b55082210
14369a8d9c008
151b28a03918b
hexea4243d498

1006134088856 has 32 divisors (see below), whose sum is σ = 2151123791040. Its totient is φ = 437053721088.

The previous prime is 1006134088853. The next prime is 1006134088903. The reversal of 1006134088856 is 6588804316001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006134088853) by changing a digit.

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, 284538416 + ... + 284541951.

It is an arithmetic number, because the mean of its divisors is an integer number (67222618470).

Almost surely, 21006134088856 is an apocalyptic number.

It is an amenable number.

1006134088856 is an abundant number, since it is smaller than the sum of its proper divisors (1144989702184).

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

1006134088856 is a wasteful number, since it uses less digits than its factorization.

1006134088856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 569080403 (or 569080399 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 50.

The spelling of 1006134088856 in words is "one trillion, six billion, one hundred thirty-four million, eighty-eight thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 13 17 26 34 52 68 104 136 221 442 884 1768 569080367 1138160734 2276321468 4552642936 7398044771 9674366239 14796089542 19348732478 29592179084 38697464956 59184358168 77394929912 125766761107 251533522214 503067044428 1006134088856