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1006647086421 = 33232181138917
BaseRepresentation
bin11101010011000001101…
…01111000110101010101
310120020022222002101212000
432221200311320311111
5112443103123231141
62050240340345513
7132504440024514
oct16514065706525
93506288071760
101006647086421
11358a0a045349
121431180a5299
1373c07438382
1436a1717867b
151b2ba0bd5b6
hexea60d78d55

1006647086421 has 48 divisors (see below), whose sum is σ = 1559889481920. Its totient is φ = 641548939680.

The previous prime is 1006647086399. The next prime is 1006647086443. The reversal of 1006647086421 is 1246807466001.

1006647086421 is a `hidden beast` number, since 1 + 0 + 0 + 66 + 470 + 86 + 42 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (1006647086399) and next prime (1006647086443).

It is not a de Polignac number, because 1006647086421 - 215 = 1006647053653 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006647086521) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25847055 + ... + 25885971.

It is an arithmetic number, because the mean of its divisors is an integer number (32497697540).

Almost surely, 21006647086421 is an apocalyptic number.

It is an amenable number.

1006647086421 is a deficient number, since it is larger than the sum of its proper divisors (553242395499).

1006647086421 is a wasteful number, since it uses less digits than its factorization.

1006647086421 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40783 (or 40754 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 1006647086421 in words is "one trillion, six billion, six hundred forty-seven million, eighty-six thousand, four hundred twenty-one".

Divisors: 1 3 9 23 27 69 207 529 621 1587 1811 4761 5433 14283 16299 38917 41653 48897 116751 124959 350253 374877 895091 958019 1050759 1124631 2685273 2874057 8055819 8622171 20587093 24167457 25866513 61761279 70478687 185283837 211436061 555851511 634308183 1621009801 1902924549 4863029403 14589088209 37283225423 43767264627 111849676269 335549028807 1006647086421