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196891735040 = 21057111341937
BaseRepresentation
bin1011011101011110101…
…0010111010000000000
3200211012201112110112222
42313113222113100000
511211213241010130
6230241213110212
720140106064020
oct2672752272000
9624181473488
10196891735040
1176557284790
12321aa788368
131574a38c240
14975b375a80
1551c5646ce5
hex2dd7a97400

196891735040 has 704 divisors, whose sum is σ = 650310087168. Its totient is φ = 55207526400.

The previous prime is 196891735003. The next prime is 196891735067. The reversal of 196891735040 is 40537198691.

It is a tau number, because it is divible by the number of its divisors (704).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 210129452 + ... + 210130388.

Almost surely, 2196891735040 is an apocalyptic number.

196891735040 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 196891735040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325155043584).

196891735040 is an abundant number, since it is smaller than the sum of its proper divisors (453418352128).

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

196891735040 is a wasteful number, since it uses less digits than its factorization.

196891735040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1034 (or 1016 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 53.

The spelling of 196891735040 in words is "one hundred ninety-six billion, eight hundred ninety-one million, seven hundred thirty-five thousand, forty".