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201980162196 = 223325754113451
BaseRepresentation
bin1011110000011011110…
…1001011000010010100
3201022100100022100101000
42330012331023002110
511302123410142241
6232442143503300
720410154023431
oct2740675130224
9638310270330
10201980162196
117872859938a
123318a8b7b30
131607b63bb97
149ac1094b88
1553c2218eb6
hex2f06f4b094

201980162196 has 96 divisors (see below), whose sum is σ = 526700684160. Its totient is φ = 66935808000.

The previous prime is 201980162177. The next prime is 201980162203. The reversal of 201980162196 is 691261089102.

201980162196 is a `hidden beast` number, since 2 + 0 + 19 + 8 + 0 + 1 + 621 + 9 + 6 = 666.

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, 15009271 + ... + 15022721.

It is an arithmetic number, because the mean of its divisors is an integer number (5486465460).

Almost surely, 2201980162196 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201980162196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263350342080).

201980162196 is an abundant number, since it is smaller than the sum of its proper divisors (324720521964).

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

201980162196 is a wasteful number, since it uses less digits than its factorization.

201980162196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14262 (or 14254 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The spelling of 201980162196 in words is "two hundred one billion, nine hundred eighty million, one hundred sixty-two thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 257 514 541 771 1028 1082 1542 1623 2164 2313 3084 3246 4626 4869 6492 6939 9252 9738 13451 13878 14607 19476 26902 27756 29214 40353 53804 58428 80706 121059 139037 161412 242118 278074 363177 417111 484236 556148 726354 834222 1251333 1452708 1668444 2502666 3456907 3753999 5005332 6913814 7276991 7507998 10370721 13827628 14553982 15015996 20741442 21830973 29107964 31112163 41482884 43661946 62224326 65492919 87323892 93336489 124448652 130985838 186672978 196478757 261971676 373345956 392957514 785915028 1870186687 3740373374 5610560061 7480746748 11221120122 16831680183 22442240244 33663360366 50495040549 67326720732 100990081098 201980162196