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196953432200 = 23527244832
BaseRepresentation
bin1011011101101101010…
…1101110000010001000
3200211101000122000010222
42313123111232002020
511211330034312300
6230251255325212
720141455360100
oct2673325560210
9624330560128
10196953432200
1176589094778
1232207380808
131575a0b1835
149765636200
1551cac82785
hex2ddb56e088

196953432200 has 108 divisors (see below), whose sum is σ = 532797493365. Its totient is φ = 67511828160.

The previous prime is 196953432199. The next prime is 196953432233. The reversal of 196953432200 is 2234359691.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

196953432200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 193014363556 + 3939068644 = 439334^2 + 62762^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=313810.

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 26 ways as a sum of consecutive naturals, for example, 43931159 + ... + 43935641.

Almost surely, 2196953432200 is an apocalyptic number.

196953432200 is a gapful number since it is divisible by the number (10) 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 196953432200

196953432200 is an abundant number, since it is smaller than the sum of its proper divisors (335844061165).

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

196953432200 is an frugal number, since it uses more digits than its factorization.

196953432200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8996 (or 4497 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 44.

The spelling of 196953432200 in words is "one hundred ninety-six billion, nine hundred fifty-three million, four hundred thirty-two thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 56 70 98 100 140 175 196 200 245 280 350 392 490 700 980 1225 1400 1960 2450 4483 4900 8966 9800 17932 22415 31381 35864 44830 62762 89660 112075 125524 156905 179320 219667 224150 251048 313810 439334 448300 627620 784525 878668 896600 1098335 1255240 1569050 1757336 2196670 3138100 4393340 5491675 6276200 8786680 10983350 20097289 21966700 40194578 43933400 80389156 100486445 140681023 160778312 200972890 281362046 401945780 502432225 562724092 703405115 803891560 984767161 1004864450 1125448184 1406810230 1969534322 2009728900 2813620460 3517025575 3939068644 4019457800 4923835805 5627240920 7034051150 7878137288 9847671610 14068102300 19695343220 24619179025 28136204600 39390686440 49238358050 98476716100 196953432200