Search a number
-
+
30816640681560 = 2333528533926557
BaseRepresentation
bin1110000000111000011101…
…11010111100011001011000
311001010001010200012201011000
413000130032322330121120
513014344440003302220
6145312545211105000
76330300040554636
oct700341672743130
9131101120181130
1030816640681560
11990129a305138
12355857a742160
131426cc5b12556
147877677ba356
15386928e68390
hex1c070eebc658

30816640681560 has 64 divisors (see below), whose sum is σ = 102722135608800. Its totient is φ = 8217770848128.

The previous prime is 30816640681559. The next prime is 30816640681579. The reversal of 30816640681560 is 6518604661803.

30816640681560 is a `hidden beast` number, since 3 + 0 + 8 + 16 + 6 + 4 + 0 + 68 + 1 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 30816640681497 and 30816640681506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14266962199 + ... + 14266964358.

Almost surely, 230816640681560 is an apocalyptic number.

30816640681560 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30816640681560 is an abundant number, since it is smaller than the sum of its proper divisors (71905494927240).

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

30816640681560 is a wasteful number, since it uses less digits than its factorization.

30816640681560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28533926577 (or 28533926567 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 30816640681560 in words is "thirty trillion, eight hundred sixteen billion, six hundred forty million, six hundred eighty-one thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 28533926557 57067853114 85601779671 114135706228 142669632785 171203559342 228271412456 256805339013 285339265570 342407118684 428008898355 513610678026 570678531140 684814237368 770416017039 856017796710 1027221356052 1141357062280 1284026695065 1540832034078 1712035593420 2054442712104 2568053390130 3081664068156 3424071186840 3852080085195 5136106780260 6163328136312 7704160170390 10272213560520 15408320340780 30816640681560