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5598644272 = 24131719167499
BaseRepresentation
bin1010011011011010…
…01000100000110000
3112110011211121010021
411031231020200300
542431223104042
62323314213224
7255511456024
oct51555104060
915404747107
105598644272
11241331a341
121102b84214
136b2ba1380
143b17b4384
1522b7a7867
hex14db48830

5598644272 has 160 divisors (see below), whose sum is σ = 13124160000. Its totient is φ = 2285604864.

The previous prime is 5598644269. The next prime is 5598644273. The reversal of 5598644272 is 2724468955.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is not an unprimeable number, because it can be changed into a prime (5598644273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11219479 + ... + 11219977.

It is an arithmetic number, because the mean of its divisors is an integer number (82026000).

Almost surely, 25598644272 is an apocalyptic number.

5598644272 is a gapful number since it is divisible by the number (52) 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 5598644272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6562080000).

5598644272 is an abundant number, since it is smaller than the sum of its proper divisors (7525515728).

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

5598644272 is a wasteful number, since it uses less digits than its factorization.

5598644272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723 (or 717 counting only the distinct ones).

The product of its digits is 4838400, while the sum is 52.

The square root of 5598644272 is about 74824.0888484451. The cubic root of 5598644272 is about 1775.6646875959.

The spelling of 5598644272 in words is "five billion, five hundred ninety-eight million, six hundred forty-four thousand, two hundred seventy-two".

Divisors: 1 2 4 8 13 16 17 19 26 34 38 52 68 76 104 136 152 167 208 221 247 272 304 323 334 442 494 499 646 668 884 988 998 1292 1336 1768 1976 1996 2171 2584 2672 2839 3173 3536 3952 3992 4199 4342 5168 5678 6346 6487 7984 8398 8483 8684 9481 11356 12692 12974 16796 16966 17368 18962 22712 25384 25948 33592 33932 34736 36907 37924 41249 45424 50768 51896 53941 67184 67864 73814 75848 82498 83333 103792 107882 110279 123253 135728 147628 151696 161177 164996 166666 215764 220558 246506 295256 322354 329992 333332 431528 441116 493012 590512 644708 659984 666664 701233 863056 882232 986024 1083329 1289416 1333328 1402466 1416661 1583327 1764464 1972048 2095301 2166658 2578832 2804932 2833322 3166654 4190602 4333316 5609864 5666644 6333308 8381204 8666632 11219728 11333288 12666616 16762408 17333264 18416593 20583251 22666576 25333232 26916559 33524816 36833186 41166502 53833118 73666372 82333004 107666236 147332744 164666008 215332472 294665488 329332016 349915267 430664944 699830534 1399661068 2799322136 5598644272