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47979624896 = 267297946747
BaseRepresentation
bin101100101011110011…
…101111100111000000
311120211210010111000022
4230223303233213000
51241230240444041
634012545513012
73315660040220
oct545363574700
9146753114008
1047979624896
111939127a365
129370342768
1346a83105b8
142472290080
1513ac30a24b
hexb2bcef9c0

47979624896 has 112 divisors (see below), whose sum is σ = 113990323200. Its totient is φ = 19601906688.

The previous prime is 47979624887. The next prime is 47979624919. The reversal of 47979624896 is 69842697974.

It is a tau number, because it is divible by the number of its divisors (112).

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, 1002995 + ... + 1049741.

Almost surely, 247979624896 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 47979624896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56995161600).

47979624896 is an abundant number, since it is smaller than the sum of its proper divisors (66010698304).

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

47979624896 is a wasteful number, since it uses less digits than its factorization.

47979624896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46874 (or 46864 counting only the distinct ones).

The product of its digits is 329204736, while the sum is 71.

The spelling of 47979624896 in words is "forty-seven billion, nine hundred seventy-nine million, six hundred twenty-four thousand, eight hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 64 79 112 116 158 203 224 232 316 406 448 464 553 632 812 928 1106 1264 1624 1856 2212 2291 2528 3248 4424 4582 5056 6496 8848 9164 12992 16037 17696 18328 32074 35392 36656 46747 64148 73312 93494 128296 146624 186988 256592 327229 373976 513184 654458 747952 1026368 1308916 1355663 1495904 2617832 2711326 2991808 3693013 5235664 5422652 7386026 9489641 10471328 10845304 14772052 18979282 20942656 21690608 25851091 29544104 37958564 43381216 51702182 59088208 75917128 86762432 103404364 107097377 118176416 151834256 206808728 214194754 236352832 303668512 413617456 428389508 607337024 749681639 827234912 856779016 1499363278 1654469824 1713558032 2998726556 3427116064 5997453112 6854232128 11994906224 23989812448 47979624896