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668145135 = 3573177639
BaseRepresentation
bin100111110100110…
…001010111101111
31201120020021211010
4213310301113233
52332021121020
6150144400303
722362066000
oct4764612757
91646207733
10668145135
11313172369
12167916093
13a8568068
1464a451a7
153d9cdde0
hex27d315ef

668145135 has 64 divisors (see below), whose sum is σ = 1320192000. Its totient is φ = 287433216.

The previous prime is 668145133. The next prime is 668145151. The reversal of 668145135 is 531541866.

It is not a de Polignac number, because 668145135 - 21 = 668145133 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 668145093 and 668145102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (668145131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 83646 + ... + 91284.

It is an arithmetic number, because the mean of its divisors is an integer number (20628000).

Almost surely, 2668145135 is an apocalyptic number.

668145135 is a deficient number, since it is larger than the sum of its proper divisors (652046865).

668145135 is a wasteful number, since it uses less digits than its factorization.

668145135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7685 (or 7671 counting only the distinct ones).

The product of its digits is 86400, while the sum is 39.

The square root of 668145135 is about 25848.5035350211. The cubic root of 668145135 is about 874.2257684674.

The spelling of 668145135 in words is "six hundred sixty-eight million, one hundred forty-five thousand, one hundred thirty-five".

Divisors: 1 3 5 7 15 17 21 35 49 51 85 105 119 147 245 255 343 357 595 735 833 1029 1715 1785 2499 4165 5145 5831 7639 12495 17493 22917 29155 38195 53473 87465 114585 129863 160419 267365 374311 389589 649315 802095 909041 1122933 1871555 1947945 2620177 2727123 4545205 5614665 6363287 7860531 13100885 13635615 19089861 31816435 39302655 44543009 95449305 133629027 222715045 668145135