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196199763840 = 27335193137521
BaseRepresentation
bin1011011010111001101…
…0101100111110000000
3200202102111110200112000
42312232122230332000
511203304114420330
6230044413504000
720114004322203
oct2665632547600
9622374420460
10196199763840
1176231719563
1232036aa2000
1315669c01422
1496d34cb93a
155184a0d560
hex2dae6acf80

196199763840 has 1024 divisors, whose sum is σ = 776936448000. Its totient is φ = 46581350400.

The previous prime is 196199763829. The next prime is 196199763847. The reversal of 196199763840 is 48367991691.

196199763840 is a `hidden beast` number, since 1 + 9 + 619 + 9 + 7 + 6 + 3 + 8 + 4 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (196199763847) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 376582780 + ... + 376583300.

It is an arithmetic number, because the mean of its divisors is an integer number (758727000).

Almost surely, 2196199763840 is an apocalyptic number.

196199763840 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 196199763840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388468224000).

196199763840 is an abundant number, since it is smaller than the sum of its proper divisors (580736684160).

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

196199763840 is a wasteful number, since it uses less digits than its factorization.

196199763840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 17635968, while the sum is 63.

The spelling of 196199763840 in words is "one hundred ninety-six billion, one hundred ninety-nine million, seven hundred sixty-three thousand, eight hundred forty".