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196518672 = 243271931331
BaseRepresentation
bin10111011011010…
…10001100010000
3111200210011221100
423231222030100
5400302044142
631300024400
74604244510
oct1355521420
9450704840
10196518672
11a0a25429
1255992100
133193884c
141c157840
15123bcb4c
hexbb6a310

196518672 has 240 divisors, whose sum is σ = 685035520. Its totient is φ = 51321600.

The previous prime is 196518671. The next prime is 196518677. The reversal of 196518672 is 276815691.

It is not an unprimeable number, because it can be changed into a prime (196518671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 593547 + ... + 593877.

Almost surely, 2196518672 is an apocalyptic number.

196518672 is a gapful number since it is divisible by the number (12) 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 196518672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342517760).

196518672 is an abundant number, since it is smaller than the sum of its proper divisors (488516848).

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

196518672 is a wasteful number, since it uses less digits than its factorization.

196518672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 393 counting only the distinct ones).

The product of its digits is 181440, while the sum is 45.

The square root of 196518672 is about 14018.5117612391. The cubic root of 196518672 is about 581.3905122662.

The spelling of 196518672 in words is "one hundred ninety-six million, five hundred eighteen thousand, six hundred seventy-two".