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2604696066 = 23271812631
BaseRepresentation
bin1001101101000000…
…1000001000000010
320201112012021021200
42123100020020002
520313300233231
61110243402030
7121355360040
oct23320101002
96645167250
102604696066
111117312785
12608383316
1332682859b
141a9d05390
15103a0bbe6
hex9b408202

2604696066 has 72 divisors (see below), whose sum is σ = 6495832512. Its totient is φ = 738914400.

The previous prime is 2604696053. The next prime is 2604696079. The reversal of 2604696066 is 6606964062.

It is an interprime number because it is at equal distance from previous prime (2604696053) and next prime (2604696079).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4127571 + ... + 4128201.

It is an arithmetic number, because the mean of its divisors is an integer number (90219896).

Almost surely, 22604696066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2604696066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3247916256).

2604696066 is an abundant number, since it is smaller than the sum of its proper divisors (3891136446).

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

2604696066 is a wasteful number, since it uses less digits than its factorization.

2604696066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1008 (or 824 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The square root of 2604696066 is about 51036.2230773399. The cubic root of 2604696066 is about 1375.8962427538.

The spelling of 2604696066 in words is "two billion, six hundred four million, six hundred ninety-six thousand, sixty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 181 362 543 631 1086 1262 1267 1629 1893 2534 3258 3786 3801 4417 5679 7602 8834 11358 11403 13251 22806 26502 32761 39753 65522 79506 98283 114211 196566 228422 229327 294849 342633 458654 589698 685266 687981 799477 1027899 1375962 1598954 2055798 2063943 2398431 4127886 4796862 7195293 14390586 20672191 41344382 62016573 124033146 144705337 186049719 289410674 372099438 434116011 868232022 1302348033 2604696066