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196825277376 = 26347133143313
BaseRepresentation
bin1011011101001110110…
…0110110001111000000
3200211001002111001210000
42313103230312033000
511211044232334001
6230230440440000
720135341152630
oct2672354661700
9624032431700
10196825277376
11765228130a2
1232190479000
1315739690b90
1497525d66c0
1551be8baa86
hex2dd3b363c0

196825277376 has 1120 divisors, whose sum is σ = 760920731648. Its totient is φ = 48910417920.

The previous prime is 196825277371. The next prime is 196825277401. The reversal of 196825277376 is 673772528691.

196825277376 is a `hidden beast` number, since 1 + 9 + 6 + 8 + 252 + 7 + 7 + 376 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (196825277371) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 628834596 + ... + 628834908.

Almost surely, 2196825277376 is an apocalyptic number.

196825277376 is a gapful number since it is divisible by the number (16) 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 196825277376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380460365824).

196825277376 is an abundant number, since it is smaller than the sum of its proper divisors (564095454272).

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

196825277376 is a wasteful number, since it uses less digits than its factorization.

196825277376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 412 counting only the distinct ones).

The product of its digits is 53343360, while the sum is 63.

The spelling of 196825277376 in words is "one hundred ninety-six billion, eight hundred twenty-five million, two hundred seventy-seven thousand, three hundred seventy-six".