Search a number
-
+
86834882784 = 2531369579233
BaseRepresentation
bin101000011011111000…
…0110010100011100000
322022010200011002112210
41100313300302203200
52410314212222114
6103520312522120
76162564216366
oct1206760624340
9268120132483
1086834882784
1133910033741
12149b49b0340
13825b178060
1442ba7d3636
1523d356e259
hex1437c328e0

86834882784 has 48 divisors (see below), whose sum is σ = 245475537552. Its totient is φ = 26718425088.

The previous prime is 86834882773. The next prime is 86834882807. The reversal of 86834882784 is 48728843868.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×868348827842 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34788369 + ... + 34790864.

It is an arithmetic number, because the mean of its divisors is an integer number (5114073699).

Almost surely, 286834882784 is an apocalyptic number.

It is an amenable number.

86834882784 is an abundant number, since it is smaller than the sum of its proper divisors (158640654768).

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

86834882784 is a wasteful number, since it uses less digits than its factorization.

86834882784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69579259 (or 69579251 counting only the distinct ones).

The product of its digits is 132120576, while the sum is 66.

The spelling of 86834882784 in words is "eighty-six billion, eight hundred thirty-four million, eight hundred eighty-two thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 69579233 139158466 208737699 278316932 417475398 556633864 834950796 904530029 1113267728 1669901592 1809060058 2226535456 2713590087 3339803184 3618120116 5427180174 6679606368 7236240232 10854360348 14472480464 21708720696 28944960928 43417441392 86834882784