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5605365152 = 256173139283
BaseRepresentation
bin1010011100001101…
…10001010110100000
3112110122111001102202
411032012301112200
542434433141102
62324114232332
7255622550312
oct51606612640
915418431382
105605365152
11241709a892
1211052856a8
136b43b551a
143b26437b2
1522c183e02
hex14e1b15a0

5605365152 has 96 divisors (see below), whose sum is σ = 11492389440. Its totient is φ = 2689873920.

The previous prime is 5605365149. The next prime is 5605365169. The reversal of 5605365152 is 2515635065.

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, 19806803 + ... + 19807085.

It is an arithmetic number, because the mean of its divisors is an integer number (119712390).

Almost surely, 25605365152 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 5605365152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5746194720).

5605365152 is an abundant number, since it is smaller than the sum of its proper divisors (5887024288).

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

5605365152 is a wasteful number, since it uses less digits than its factorization.

5605365152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 135000, while the sum is 38.

The square root of 5605365152 is about 74868.9865832308. The cubic root of 5605365152 is about 1776.3749343684.

The spelling of 5605365152 in words is "five billion, six hundred five million, three hundred sixty-five thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 32 61 73 122 139 146 244 278 283 292 488 556 566 584 976 1112 1132 1168 1952 2224 2264 2336 4448 4453 4528 8479 8906 9056 10147 16958 17263 17812 20294 20659 33916 34526 35624 39337 40588 41318 67832 69052 71248 78674 81176 82636 135664 138104 142496 157348 162352 165272 271328 276208 314696 324704 330544 552416 618967 629392 661088 1237934 1258784 1260199 2399557 2475868 2520398 2871601 4799114 4951736 5040796 5743202 9598228 9903472 10081592 11486404 19196456 19806944 20163184 22972808 38392912 40326368 45945616 76785824 91891232 175167661 350335322 700670644 1401341288 2802682576 5605365152