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47738068784 = 2471923242407
BaseRepresentation
bin101100011101011010…
…010001111100110000
311120012221121011022122
4230131122101330300
51240231421200114
633533000253412
73306664614050
oct543532217460
9146187534278
1047738068784
111927799370a
129303471268
13466a2663a3
14244c171560
151395ee2e8e
hexb1d691f30

47738068784 has 120 divisors (see below), whose sum is σ = 116320055040. Its totient is φ = 18539224704.

The previous prime is 47738068771. The next prime is 47738068789. The reversal of 47738068784 is 48786083774.

47738068784 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×477380687842 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (47738068789) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1104509 + ... + 1146915.

It is an arithmetic number, because the mean of its divisors is an integer number (969333792).

Almost surely, 247738068784 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 47738068784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58160027520).

47738068784 is an abundant number, since it is smaller than the sum of its proper divisors (68581986256).

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

47738068784 is a wasteful number, since it uses less digits than its factorization.

47738068784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42487 (or 42458 counting only the distinct ones).

The product of its (nonzero) digits is 50577408, while the sum is 62.

The spelling of 47738068784 in words is "forty-seven billion, seven hundred thirty-eight million, sixty-eight thousand, seven hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 19 23 28 38 46 56 76 92 112 133 152 161 184 266 304 322 368 437 529 532 644 874 1058 1064 1288 1748 2116 2128 2576 3059 3496 3703 4232 6118 6992 7406 8464 10051 12236 14812 20102 24472 29624 40204 42407 48944 59248 70357 80408 84814 140714 160816 169628 281428 296849 339256 562856 593698 678512 805733 975361 1125712 1187396 1611466 1950722 2374792 3222932 3901444 4749584 5640131 6445864 6827527 7802888 11280262 12891728 13655054 15605776 18531859 22433303 22560524 27310108 37063718 44866606 45121048 54620216 74127436 89733212 90242096 109240432 129723013 148254872 157033121 179466424 259446026 296509744 314066242 358932848 426232757 518892052 628132484 852465514 1037784104 1256264968 1704931028 2075568208 2512529936 2983629299 3409862056 5967258598 6819724112 11934517196 23869034392 47738068784