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2681537820 = 22351331110899
BaseRepresentation
bin1001111111010101…
…0000010100011100
320220212210020100120
42133311100110130
520442433202240
61122030354540
7123310460343
oct23765202434
96825706316
102681537820
111156727065
1262a05ba50
13339721290
141b61c8b5a
1510a639ad0
hex9fd5051c

2681537820 has 96 divisors (see below), whose sum is σ = 8346777600. Its totient is φ = 638772480.

The previous prime is 2681537819. The next prime is 2681537893. The reversal of 2681537820 is 287351862.

2681537820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31270 + ... + 79629.

It is an arithmetic number, because the mean of its divisors is an integer number (86945600).

Almost surely, 22681537820 is an apocalyptic number.

2681537820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2681537820 is an abundant number, since it is smaller than the sum of its proper divisors (5665239780).

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

2681537820 is a wasteful number, since it uses less digits than its factorization.

2681537820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110955 (or 110953 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The square root of 2681537820 is about 51783.5670845491. The cubic root of 2681537820 is about 1389.2955421462.

The spelling of 2681537820 in words is "two billion, six hundred eighty-one million, five hundred thirty-seven thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 31 39 52 60 62 65 78 93 124 130 155 156 186 195 260 310 372 390 403 465 620 780 806 930 1209 1612 1860 2015 2418 4030 4836 6045 8060 12090 24180 110899 221798 332697 443596 554495 665394 1108990 1330788 1441687 1663485 2217980 2883374 3326970 3437869 4325061 5766748 6653940 6875738 7208435 8650122 10313607 13751476 14416870 17189345 17300244 20627214 21625305 28833740 34378690 41254428 43250610 44692297 51568035 68757380 86501220 89384594 103136070 134076891 178769188 206272140 223461485 268153782 446922970 536307564 670384455 893845940 1340768910 2681537820