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196272366556176 = 2434107236372
BaseRepresentation
bin101100101000001000111000…
…101100000001010000010000
3221201221110021200122222210000
4230220020320230001100100
5201211211301314244201
61533234140324010000
756225132132660631
oct5450107054012020
9851843250588700
10196272366556176
11575a17091246a9
121a01aa96530900
138569535306271
1436678c1813888
1517a57647d5d86
hexb28238b01410

196272366556176 has 225 divisors, whose sum is σ = 573585555491949. Its totient is φ = 64794861422208.

The previous prime is 196272366556157. The next prime is 196272366556177. The reversal of 196272366556176 is 671655663272691.

The square root of 196272366556176 is 14009724.

It is a perfect power (a square), and thus also a powerful number.

196272366556176 is a `hidden beast` number, since 1 + 9 + 6 + 2 + 7 + 2 + 3 + 66 + 556 + 1 + 7 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5252988963600 + 191019377592576 = 2291940^2 + 13820976^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (196272366556177) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 53965455030 + ... + 53965458666.

Almost surely, 2196272366556176 is an apocalyptic number.

196272366556176 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

196272366556176 is the 14009724-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 196272366556176

196272366556176 is an abundant number, since it is smaller than the sum of its proper divisors (377313188935773).

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

196272366556176 is an frugal number, since it uses more digits than its factorization.

196272366556176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7508 (or 3749 counting only the distinct ones).

The product of its digits is 1028764800, while the sum is 72.

The spelling of 196272366556176 in words is "one hundred ninety-six trillion, two hundred seventy-two billion, three hundred sixty-six million, five hundred fifty-six thousand, one hundred seventy-six".