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196609469400 = 2334522347103109
BaseRepresentation
bin1011011100011011010…
…1100110101111011000
3200210111001101212220000
42313012311212233120
511210124011010100
6230153211133000
720130110626101
oct2670665465730
9623431355800
10196609469400
1176421a133a3
1232130144160
1315703a60556
149731a9b3a8
1551aa98c900
hex2dc6d66bd8

196609469400 has 960 divisors, whose sum is σ = 741509683200. Its totient is φ = 48160189440.

The previous prime is 196609469389. The next prime is 196609469401. The reversal of 196609469400 is 4964906691.

196609469400 is a `hidden beast` number, since 1 + 96 + 6 + 0 + 94 + 69 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (196609469401) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1803756546 + ... + 1803756654.

It is an arithmetic number, because the mean of its divisors is an integer number (772405920).

Almost surely, 2196609469400 is an apocalyptic number.

196609469400 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 196609469400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370754841600).

196609469400 is an abundant number, since it is smaller than the sum of its proper divisors (544900213800).

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

196609469400 is a wasteful number, since it uses less digits than its factorization.

196609469400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The spelling of 196609469400 in words is "one hundred ninety-six billion, six hundred nine million, four hundred sixty-nine thousand, four hundred".