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47350000035 = 3351321925749
BaseRepresentation
bin101100000110010001…
…111010100110100011
311112012220101020002000
4230012101322212203
51233433100000120
633430254455043
73264243234222
oct540621724643
9145186336060
1047350000035
1119098927938
129215504483
134607a41700
1424127d4cb9
151371dd9990
hexb0647a9a3

47350000035 has 144 divisors (see below), whose sum is σ = 96217740000. Its totient is φ = 22080045312.

The previous prime is 47349999863. The next prime is 47350000043. The reversal of 47350000035 is 53000005374.

It is a happy number.

It is not a de Polignac number, because 47350000035 - 218 = 47349737891 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 47349999963 and 47350000008.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8233341 + ... + 8239089.

It is an arithmetic number, because the mean of its divisors is an integer number (668178750).

Almost surely, 247350000035 is an apocalyptic number.

47350000035 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

47350000035 is an abundant number, since it is smaller than the sum of its proper divisors (48867739965).

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

47350000035 is a wasteful number, since it uses less digits than its factorization.

47350000035 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5827 (or 5789 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 27.

The spelling of 47350000035 in words is "forty-seven billion, three hundred fifty million, thirty-five", and thus it is an aban number.

Divisors: 1 3 5 9 13 15 19 27 39 45 57 65 95 117 135 169 171 195 247 285 351 361 507 513 585 741 845 855 1083 1235 1521 1755 1805 2223 2535 2565 3211 3249 3705 4563 4693 5415 5749 6669 7605 9633 9747 11115 14079 16055 16245 17247 22815 23465 28745 28899 33345 42237 48165 48735 51741 61009 70395 74737 86235 86697 109231 126711 144495 155223 183027 211185 224211 258705 305045 327693 373685 433485 546155 549081 633555 672633 776115 915135 971581 983079 1121055 1420003 1638465 1647243 2017899 2075389 2745405 2914743 2949237 3363165 4260009 4857905 4915395 6226167 7100015 8236215 8744229 10089495 10376945 12780027 14573715 14746185 18460039 18678501 21300045 26232687 26980057 31130835 38340081 43721145 55380117 56035503 63900135 80940171 92300195 93392505 131163435 134900285 166140351 191700405 242820513 276900585 280177515 350740741 404700855 498421053 728461539 830701755 1052222223 1214102565 1753703705 2492105265 3156666669 3642307695 5261111115 9470000007 15783333345 47350000035