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5625197376 = 263412812543
BaseRepresentation
bin1010011110100100…
…11011001101000000
3112112000210122010120
411033102123031000
543010022304001
62330103300240
7256253250231
oct51722331500
915460718116
105625197376
112427306057
12110ba4a680
136b853a476
143b5127088
1522dca0236
hex14f49b340

5625197376 has 112 divisors (see below), whose sum is σ = 15306617088. Its totient is φ = 1822105600.

The previous prime is 5625197363. The next prime is 5625197381. The reversal of 5625197376 is 6737915265.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2210761 + ... + 2213303.

It is an arithmetic number, because the mean of its divisors is an integer number (136666224).

Almost surely, 25625197376 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 5625197376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7653308544).

5625197376 is an abundant number, since it is smaller than the sum of its proper divisors (9681419712).

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

5625197376 is a wasteful number, since it uses less digits than its factorization.

5625197376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2880 (or 2870 counting only the distinct ones).

The product of its digits is 2381400, while the sum is 51.

The square root of 5625197376 is about 75001.3158284573. The cubic root of 5625197376 is about 1778.4674533461.

The spelling of 5625197376 in words is "five billion, six hundred twenty-five million, one hundred ninety-seven thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 164 192 246 281 328 492 562 656 843 984 1124 1312 1686 1968 2248 2543 2624 3372 3936 4496 5086 6744 7629 7872 8992 10172 11521 13488 15258 17984 20344 23042 26976 30516 34563 40688 46084 53952 61032 69126 81376 92168 104263 122064 138252 162752 184336 208526 244128 276504 312789 368672 417052 488256 553008 625578 714583 737344 834104 1106016 1251156 1429166 1668208 2143749 2212032 2502312 2858332 3336416 4287498 5004624 5716664 6672832 8574996 10009248 11433328 17149992 20018496 22866656 29297903 34299984 45733312 58595806 68599968 87893709 117191612 137199936 175787418 234383224 351574836 468766448 703149672 937532896 1406299344 1875065792 2812598688 5625197376