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2545262664 = 2337210321013
BaseRepresentation
bin1001011110110101…
…1010000001001000
320120101100201222120
42113231122001020
520203041401124
61100321451240
7120034242600
oct22755320110
96511321876
102545262664
11109680956a
125b04a0b20
133174194a9
141a2073c00
15ed6bbd79
hex97b5a048

2545262664 has 96 divisors (see below), whose sum is σ = 7474259520. Its totient is φ = 720123264.

The previous prime is 2545262659. The next prime is 2545262689. The reversal of 2545262664 is 4662625452.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 110622 + ... + 131634.

It is an arithmetic number, because the mean of its divisors is an integer number (77856870).

Almost surely, 22545262664 is an apocalyptic number.

2545262664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2545262664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3737129760).

2545262664 is an abundant number, since it is smaller than the sum of its proper divisors (4928996856).

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

2545262664 is a wasteful number, since it uses less digits than its factorization.

2545262664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21139 (or 21128 counting only the distinct ones).

The product of its digits is 691200, while the sum is 42.

The square root of 2545262664 is about 50450.5962700145. The cubic root of 2545262664 is about 1365.3506528459.

The spelling of 2545262664 in words is "two billion, five hundred forty-five million, two hundred sixty-two thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 103 147 168 196 206 294 309 392 412 588 618 721 824 1176 1236 1442 2163 2472 2884 4326 5047 5768 8652 10094 15141 17304 20188 21013 30282 40376 42026 60564 63039 84052 121128 126078 147091 168104 252156 294182 441273 504312 588364 882546 1029637 1176728 1765092 2059274 2164339 3088911 3530184 4118548 4328678 6177822 6493017 8237096 8657356 12355644 12986034 15150373 17314712 24711288 25972068 30300746 45451119 51944136 60601492 90902238 106052611 121202984 181804476 212105222 318157833 363608952 424210444 636315666 848420888 1272631332 2545262664