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1006664066253 = 32171011393671277
BaseRepresentation
bin11101010011000011101…
…10101010010011001101
310120020101011001001210200
432221201312222103031
5112443122000110003
62050242144324113
7132505034244426
oct16514166522315
93506334031720
101006664066253
11358a1869256a
12143121913639
1373c0ab01c01
1436a1951864d
151b2bb8246a3
hexea61daa4cd

1006664066253 has 96 divisors (see below), whose sum is σ = 1571530222080. Its totient is φ = 618702796800.

The previous prime is 1006664066249. The next prime is 1006664066293. The reversal of 1006664066253 is 3526604666001.

It is not a de Polignac number, because 1006664066253 - 22 = 1006664066249 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1006664066199 and 1006664066208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006664066293) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 788303251 + ... + 788304527.

It is an arithmetic number, because the mean of its divisors is an integer number (16370106480).

Almost surely, 21006664066253 is an apocalyptic number.

It is an amenable number.

1006664066253 is a deficient number, since it is larger than the sum of its proper divisors (564866155827).

1006664066253 is a wasteful number, since it uses less digits than its factorization.

1006664066253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1907 (or 1904 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 1006664066253 in words is "one trillion, six billion, six hundred sixty-four million, sixty-six thousand, two hundred fifty-three".

Divisors: 1 3 9 17 51 101 139 153 303 367 417 909 1101 1251 1277 1717 2363 3303 3831 5151 6239 7089 11493 14039 15453 18717 21267 21709 37067 42117 51013 56151 65127 111201 126351 128977 153039 177503 195381 238663 333603 386931 459117 468659 532509 630139 715989 867221 1160793 1405977 1597527 1890417 2147967 2192609 2601663 3017551 4217931 5152313 5671251 6577827 7804989 7967203 9052653 15456939 17927803 19733481 23901609 27157959 46370817 47334559 53783409 65143601 71704827 87589321 142003677 161350227 195430803 262767963 304772651 426011031 586292409 788303889 804687503 914317953 1107441217 2414062509 2742953859 3322323651 6579503701 7242187527 9966970953 19738511103 59215533309 111851562917 335554688751 1006664066253