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47073613314 = 23721373168719
BaseRepresentation
bin101011110101110011…
…100101011000000010
311111111122022022202210
4223311303211120002
51232401321111224
633343022522550
73254346053100
oct536563453002
9144448268683
1047073613314
1118a66911462
129158a36456
1345926c0880
1423c7c0ac70
1513579e2429
hexaf5ce5602

47073613314 has 96 divisors (see below), whose sum is σ = 119559041280. Its totient is φ = 12244877568.

The previous prime is 47073613283. The next prime is 47073613331. The reversal of 47073613314 is 41331637074.

47073613314 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 194647 + ... + 363365.

It is an arithmetic number, because the mean of its divisors is an integer number (1245406680).

Almost surely, 247073613314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47073613314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59779520640).

47073613314 is an abundant number, since it is smaller than the sum of its proper divisors (72485427966).

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

47073613314 is a wasteful number, since it uses less digits than its factorization.

47073613314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168824 (or 168817 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 39.

The spelling of 47073613314 in words is "forty-seven billion, seventy-three million, six hundred thirteen thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 49 73 78 91 98 146 147 182 219 273 294 438 511 546 637 949 1022 1274 1533 1898 1911 2847 3066 3577 3822 5694 6643 7154 10731 13286 19929 21462 39858 46501 93002 139503 168719 279006 337438 506157 1012314 1181033 2193347 2362066 3543099 4386694 6580041 7086198 8267231 12316487 13160082 15353429 16534462 24632974 24801693 30706858 36949461 46060287 49603386 73898922 86215409 92120574 107474003 160114331 172430818 214948006 258646227 320228662 322422009 480342993 517292454 603507863 644844018 960685986 1120800317 1207015726 1810523589 2241600634 3362400951 3621047178 6724801902 7845602219 15691204438 23536806657 47073613314