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2082418156 = 2271367103829
BaseRepresentation
bin111110000011111…
…0010110111101100
312101010102210200101
41330013302313230
513231044340111
6542345240444
7102414155650
oct17407626754
95333383611
102082418156
1197951a645
124a1493124
132725732c0
1415a7d0a60
15c2c42bc1
hex7c1f2dec

2082418156 has 96 divisors (see below), whose sum is σ = 4601891840. Its totient is φ = 802669824.

The previous prime is 2082418123. The next prime is 2082418181. The reversal of 2082418156 is 6518142802.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2511550 + ... + 2512378.

Almost surely, 22082418156 is an apocalyptic number.

2082418156 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2082418156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2300945920).

2082418156 is an abundant number, since it is smaller than the sum of its proper divisors (2519473684).

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

2082418156 is a wasteful number, since it uses less digits than its factorization.

2082418156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1023 (or 1021 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 37.

The square root of 2082418156 is about 45633.5200921428. The cubic root of 2082418156 is about 1276.9953441921.

The spelling of 2082418156 in words is "two billion, eighty-two million, four hundred eighteen thousand, one hundred fifty-six".

Divisors: 1 2 4 7 13 14 26 28 52 67 91 103 134 182 206 268 364 412 469 721 829 871 938 1339 1442 1658 1742 1876 2678 2884 3316 3484 5356 5803 6097 6901 9373 10777 11606 12194 13802 18746 21554 23212 24388 27604 37492 43108 48307 55543 75439 85387 89713 96614 111086 150878 170774 179426 193228 222172 301756 341548 358852 388801 597709 627991 722059 777602 1110031 1195418 1255982 1444118 1555204 2220062 2390836 2511964 2888236 4440124 5054413 5720929 7770217 10108826 11441858 15540434 20217652 22883716 31080868 40046503 74372077 80093006 148744154 160186012 297488308 520604539 1041209078 2082418156