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2066882142 = 2313297312517
BaseRepresentation
bin111101100110010…
…0001111001011110
312100001012111021110
41323030201321132
513213110212032
6541032242450
7102135131313
oct17314417136
95301174243
102066882142
11970779166
12498240426
1326c2939b0
14158708d0a
15c16c47cc
hex7b321e5e

2066882142 has 64 divisors (see below), whose sum is σ = 4668713280. Its totient is φ = 605574144.

The previous prime is 2066882141. The next prime is 2066882173. The reversal of 2066882142 is 2412886602.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 2066882142.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2066882141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 158868 + ... + 171384.

It is an arithmetic number, because the mean of its divisors is an integer number (72948645).

Almost surely, 22066882142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2066882142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2334356640).

2066882142 is an abundant number, since it is smaller than the sum of its proper divisors (2601831138).

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

2066882142 is a wasteful number, since it uses less digits than its factorization.

2066882142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12637.

The product of its (nonzero) digits is 73728, while the sum is 39.

The square root of 2066882142 is about 45462.9755075490. The cubic root of 2066882142 is about 1273.8117119403.

The spelling of 2066882142 in words is "two billion, sixty-six million, eight hundred eighty-two thousand, one hundred forty-two".

Divisors: 1 2 3 6 13 26 29 39 58 73 78 87 146 174 219 377 438 754 949 1131 1898 2117 2262 2847 4234 5694 6351 12517 12702 25034 27521 37551 55042 75102 82563 162721 165126 325442 362993 488163 725986 913741 976326 1088979 1827482 2177958 2741223 4718909 5482446 9437818 11878633 14156727 23757266 26498489 28313454 35635899 52996978 71271798 79495467 158990934 344480357 688960714 1033441071 2066882142