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2716645652 = 2272731811049
BaseRepresentation
bin1010000111101100…
…1011100100010100
321000022211220020122
42201323023210110
521030430130102
61125323051112
7124215051500
oct24173134424
97008756218
102716645652
1111745260a6
12639970a98
13343a94146
141bab27300
1510d7720a2
hexa1ecb914

2716645652 has 72 divisors (see below), whose sum is σ = 5642418600. Its totient is φ = 1140894720.

The previous prime is 2716645651. The next prime is 2716645663. The reversal of 2716645652 is 2565466172.

It can be written as a sum of positive squares in 4 ways, for example, as 275692816 + 2440952836 = 16604^2 + 49406^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2716645651) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2589224 + ... + 2590272.

It is an arithmetic number, because the mean of its divisors is an integer number (78366925).

Almost surely, 22716645652 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2716645652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2821209300).

2716645652 is an abundant number, since it is smaller than the sum of its proper divisors (2925772948).

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

2716645652 is a wasteful number, since it uses less digits than its factorization.

2716645652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1321 (or 1312 counting only the distinct ones).

The product of its digits is 604800, while the sum is 44.

The square root of 2716645652 is about 52121.4509775006. The cubic root of 2716645652 is about 1395.3323552178.

It can be divided in two parts, 271664565 and 2, that multiplied together give a triangular number (543329130 = T32964).

The spelling of 2716645652 in words is "two billion, seven hundred sixteen million, six hundred forty-five thousand, six hundred fifty-two".

Divisors: 1 2 4 7 14 28 49 73 98 146 181 196 292 362 511 724 1022 1049 1267 2044 2098 2534 3577 4196 5068 7154 7343 8869 13213 14308 14686 17738 26426 29372 35476 51401 52852 76577 92491 102802 153154 184982 189869 205604 306308 369964 379738 536039 647437 759476 1072078 1294874 1329083 2144156 2589748 2658166 3752273 5316332 7504546 9303581 13860437 15009092 18607162 27720874 37214324 55441748 97023059 194046118 388092236 679161413 1358322826 2716645652