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5625713648 = 2419411732609
BaseRepresentation
bin1010011110101000…
…11001001111110000
3112112001202212022202
411033110121033300
543010140314043
62330122322332
7256260530342
oct51724311760
915461685282
105625713648
112427628a25
1211100593a8
136b868b459
143b521d292
1522dd531b8
hex14f5193f0

5625713648 has 80 divisors (see below), whose sum is σ = 11825805600. Its totient is φ = 2583797760.

The previous prime is 5625713603. The next prime is 5625713651. The reversal of 5625713648 is 8463175265.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2154968 + ... + 2157576.

It is an arithmetic number, because the mean of its divisors is an integer number (147822570).

Almost surely, 25625713648 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 5625713648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5912902800).

5625713648 is an abundant number, since it is smaller than the sum of its proper divisors (6200091952).

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

5625713648 is a wasteful number, since it uses less digits than its factorization.

5625713648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2850 (or 2844 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 47.

The square root of 5625713648 is about 75004.7575024411. The cubic root of 5625713648 is about 1778.5218600214.

The spelling of 5625713648 in words is "five billion, six hundred twenty-five million, seven hundred thirteen thousand, six hundred forty-eight".

Divisors: 1 2 4 8 16 19 38 41 76 82 152 164 173 304 328 346 656 692 779 1384 1558 2609 2768 3116 3287 5218 6232 6574 7093 10436 12464 13148 14186 20872 26296 28372 41744 49571 52592 56744 99142 106969 113488 134767 198284 213938 269534 396568 427876 451357 539068 793136 855752 902714 1078136 1711504 1805428 2032411 2156272 3610856 4064822 7221712 8129644 8575783 16259288 17151566 18505637 32518576 34303132 37011274 68606264 74022548 137212528 148045096 296090192 351607103 703214206 1406428412 2812856824 5625713648