Search a number
-
+
47894516082 = 235733294229
BaseRepresentation
bin101100100110101111…
…000101000101110010
311120121211222111200000
4230212233011011302
51241041444003312
634000305410430
73313604445450
oct544657050562
9146554874600
1047894516082
11193482298a6
129347939a16
1346937b1a5a
142464c579d0
1513a4ae7adc
hexb26bc5172

47894516082 has 96 divisors (see below), whose sum is σ = 123054422400. Its totient is φ = 13676802048.

The previous prime is 47894516069. The next prime is 47894516101. The reversal of 47894516082 is 28061549874.

It is a happy number.

47894516082 is a `hidden beast` number, since 47 + 8 + 9 + 4 + 516 + 0 + 82 = 666.

47894516082 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 (54).

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, 11323144 + ... + 11327372.

It is an arithmetic number, because the mean of its divisors is an integer number (1281816900).

Almost surely, 247894516082 is an apocalyptic number.

47894516082 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 47894516082, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61527211200).

47894516082 is an abundant number, since it is smaller than the sum of its proper divisors (75159906318).

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

47894516082 is a wasteful number, since it uses less digits than its factorization.

47894516082 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7582 (or 7570 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 47894516082 in words is "forty-seven billion, eight hundred ninety-four million, five hundred sixteen thousand, eighty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 243 378 486 567 1134 1701 3329 3402 4229 6658 8458 9987 12687 19974 23303 25374 29603 29961 38061 46606 59206 59922 69909 76122 88809 89883 114183 139818 177618 179766 209727 228366 266427 269649 342549 419454 532854 539298 629181 685098 799281 808947 1027647 1258362 1598562 1617894 1887543 2055294 2397843 3775086 4795686 5662629 7193529 11325258 14078341 14387058 28156682 42235023 84470046 98548387 126705069 197096774 253410138 295645161 380115207 591290322 760230414 886935483 1140345621 1773870966 2280691242 2660806449 3421036863 5321612898 6842073726 7982419347 15964838694 23947258041 47894516082