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5317630176 = 253232579371
BaseRepresentation
bin1001111001111010…
…01001100011100000
3111201121001121020210
410330331021203200
541342303131201
62235355134120
7245530052655
oct47475114340
914647047223
105317630176
112289733291
121044a44340
136698c0241
14386343c2c
15211c991d6
hex13cf498e0

5317630176 has 96 divisors (see below), whose sum is σ = 14623918848. Its totient is φ = 1688698880.

The previous prime is 5317630169. The next prime is 5317630181. The reversal of 5317630176 is 6710367135.

It is a tau number, because it is divible by the number of its divisors (96).

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, 562771 + ... + 572141.

It is an arithmetic number, because the mean of its divisors is an integer number (152332488).

Almost surely, 25317630176 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 5317630176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7311959424).

5317630176 is an abundant number, since it is smaller than the sum of its proper divisors (9306288672).

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

5317630176 is a wasteful number, since it uses less digits than its factorization.

5317630176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9664 (or 9656 counting only the distinct ones).

The product of its (nonzero) digits is 79380, while the sum is 39.

The square root of 5317630176 is about 72922.0829104600. The cubic root of 5317630176 is about 1745.4444973459. Note that the first 4 decimals are identical.

The spelling of 5317630176 in words is "five billion, three hundred seventeen million, six hundred thirty thousand, one hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 257 276 368 514 552 736 771 1028 1104 1542 2056 2208 3084 4112 5911 6168 8224 9371 11822 12336 17733 18742 23644 24672 28113 35466 37484 47288 56226 70932 74968 94576 112452 141864 149936 189152 215533 224904 283728 299872 431066 449808 567456 646599 862132 899616 1293198 1724264 2408347 2586396 3448528 4816694 5172792 6897056 7225041 9633388 10345584 14450082 19266776 20691168 28900164 38533552 55391981 57800328 77067104 110783962 115600656 166175943 221567924 231201312 332351886 443135848 664703772 886271696 1329407544 1772543392 2658815088 5317630176