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1006656002337 = 317193102271259
BaseRepresentation
bin11101010011000010101…
…11111001100100100001
310120020100120212101012010
432221201113321210201
5112443112414033322
62050241255423133
7132504605560446
oct16514127714441
93506316771163
101006656002337
11358a14084a77
1214311b084aa9
1373c0923a66b
1436a184199cd
151b2bac8020c
hexea615f9921

1006656002337 has 16 divisors (see below), whose sum is σ = 1428524959680. Its totient is φ = 628354609152.

The previous prime is 1006656002327. The next prime is 1006656002353. The reversal of 1006656002337 is 7332006566001.

1006656002337 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1006656002337 - 211 = 1006656000289 is a prime.

It is a super-2 number, since 2×10066560023372 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1006656002295 and 1006656002304.

It is not an unprimeable number, because it can be changed into a prime (1006656002327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51125787 + ... + 51145472.

It is an arithmetic number, because the mean of its divisors is an integer number (89282809980).

Almost surely, 21006656002337 is an apocalyptic number.

1006656002337 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

1006656002337 is a deficient number, since it is larger than the sum of its proper divisors (421868957343).

1006656002337 is a wasteful number, since it uses less digits than its factorization.

1006656002337 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102271472.

The product of its (nonzero) digits is 136080, while the sum is 39.

The spelling of 1006656002337 in words is "one trillion, six billion, six hundred fifty-six million, two thousand, three hundred thirty-seven".

Divisors: 1 3 17 51 193 579 3281 9843 102271259 306813777 1738611403 5215834209 19738352987 59215058961 335552000779 1006656002337