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2664411288 = 2337112131071
BaseRepresentation
bin1001111011001111…
…1011000010011000
320212200120010011120
42132303323002120
520424042130123
61120215325240
7123012056640
oct23663730230
96780503146
102664411288
111147a99700
12624380820
13336005a36
141b3c0b520
15108da52e3
hex9ecfb098

2664411288 has 96 divisors (see below), whose sum is σ = 8367636480. Its totient is φ = 692049600.

The previous prime is 2664411259. The next prime is 2664411289. The reversal of 2664411288 is 8821144662.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2664411289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45208 + ... + 85863.

It is an arithmetic number, because the mean of its divisors is an integer number (87162880).

Almost surely, 22664411288 is an apocalyptic number.

2664411288 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2664411288 is an abundant number, since it is smaller than the sum of its proper divisors (5703225192).

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

2664411288 is a wasteful number, since it uses less digits than its factorization.

2664411288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131109 (or 131094 counting only the distinct ones).

The product of its digits is 147456, while the sum is 42.

The square root of 2664411288 is about 51617.9357200576. The cubic root of 2664411288 is about 1386.3314903758.

The spelling of 2664411288 in words is "two billion, six hundred sixty-four million, four hundred eleven thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 121 132 154 168 231 242 264 308 363 462 484 616 726 847 924 968 1452 1694 1848 2541 2904 3388 5082 6776 10164 20328 131071 262142 393213 524284 786426 917497 1048568 1441781 1572852 1834994 2752491 2883562 3145704 3669988 4325343 5504982 5767124 7339976 8650686 10092467 11009964 11534248 15859591 17301372 20184934 22019928 30277401 31719182 34602744 40369868 47578773 60554802 63438364 80739736 95157546 111017137 121109604 126876728 190315092 222034274 242219208 333051411 380630184 444068548 666102822 888137096 1332205644 2664411288