Search a number
-
+
46808730784 = 25172337101111
BaseRepresentation
bin101011100110000001…
…001000110010100000
311110211011212220020201
4223212001020302200
51231331013341114
633300441314544
73244651434604
oct534601106240
9143734786221
1046808730784
1118940343282
1290a4195a54
13454c86a14a
1423a0979504
15133e61d874
hexae6048ca0

46808730784 has 96 divisors (see below), whose sum is σ = 104570839296. Its totient is φ = 20500254720.

The previous prime is 46808730779. The next prime is 46808730811. The reversal of 46808730784 is 48703780864.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 412389 + ... + 513499.

It is an arithmetic number, because the mean of its divisors is an integer number (1089279576).

Almost surely, 246808730784 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 46808730784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52285419648).

46808730784 is an abundant number, since it is smaller than the sum of its proper divisors (57762108512).

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

46808730784 is a wasteful number, since it uses less digits than its factorization.

46808730784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101198 (or 101190 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 55.

The spelling of 46808730784 in words is "forty-six billion, eight hundred eight million, seven hundred thirty thousand, seven hundred eighty-four".

Divisors: 1 2 4 8 16 17 23 32 34 37 46 68 74 92 136 148 184 272 296 368 391 544 592 629 736 782 851 1184 1258 1564 1702 2516 3128 3404 5032 6256 6808 10064 12512 13616 14467 20128 27232 28934 57868 101111 115736 202222 231472 404444 462944 808888 1617776 1718887 2325553 3235552 3437774 3741107 4651106 6875548 7482214 9302212 13751096 14964428 18604424 27502192 29928856 37208848 39534401 55004384 59857712 63598819 74417696 79068802 86045461 119715424 127197638 158137604 172090922 254395276 316275208 344181844 508790552 632550416 688363688 1017581104 1265100832 1376727376 1462772837 2035162208 2753454752 2925545674 5851091348 11702182696 23404365392 46808730784