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202108674066 = 23132972338819
BaseRepresentation
bin1011110000111010011…
…1011010000000010010
3201022200022010102111220
42330032213122000102
511302404310032231
6232503014145510
720413304245545
oct2741647320022
9638608112456
10202108674066
1178794094242
1233205952296
131609c156200
149ad418885c
1553cd651896
hex2f0e9da012

202108674066 has 96 divisors (see below), whose sum is σ = 444163487040. Its totient is φ = 61275082752.

The previous prime is 202108674043. The next prime is 202108674083. The reversal of 202108674066 is 660476801202.

It is a super-2 number, since 2×2021086740662 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22913005 + ... + 22921823.

It is an arithmetic number, because the mean of its divisors is an integer number (4626702990).

Almost surely, 2202108674066 is an apocalyptic number.

202108674066 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 202108674066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222081743520).

202108674066 is an abundant number, since it is smaller than the sum of its proper divisors (242054812974).

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

202108674066 is a wasteful number, since it uses less digits than its factorization.

202108674066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9180 (or 9167 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The spelling of 202108674066 in words is "two hundred two billion, one hundred eight million, six hundred seventy-four thousand, sixty-six".

Divisors: 1 2 3 6 13 26 39 78 97 169 194 233 291 338 466 507 582 699 1014 1261 1398 2522 3029 3783 6058 7566 8819 9087 16393 17638 18174 22601 26457 32786 39377 45202 49179 52914 67803 78754 98358 114647 118131 135606 229294 236262 293813 343941 587626 687882 855443 881439 1490411 1710886 1762878 2054827 2566329 2980822 3819569 4109654 4471233 5132658 6164481 7639138 8942466 11120759 11458707 12328962 22241518 22917414 26712751 33362277 53425502 66724554 80138253 144569867 160276506 199318219 289139734 347265763 398636438 433709601 597954657 694531526 867419202 1041797289 1195909314 2083594578 2591136847 5182273694 7773410541 15546821082 33684779011 67369558022 101054337033 202108674066