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193010848900 = 2252439332
BaseRepresentation
bin1011001111000001010…
…1111101010010000100
3200110012020222000121021
42303300111331102010
511130241234131100
6224400140200524
716641663101122
oct2636025752204
9613166860537
10193010848900
1174945657571
12314a6b39144
131527c3442cc
1494adb8a912
155049a9ea1a
hex2cf057d484

193010848900 has 27 divisors (see below), whose sum is σ = 418843075791. Its totient is φ = 77202582240.

The previous prime is 193010848871. The next prime is 193010848903. The reversal of 193010848900 is 9848010391.

The square root of 193010848900 is 439330.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 86087080836 + 106923768064 = 293406^2 + 326992^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (193010848903) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4371334 + ... + 4415266.

Almost surely, 2193010848900 is an apocalyptic number.

193010848900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

193010848900 is the 439330-th square number.

It is an amenable number.

193010848900 is an abundant number, since it is smaller than the sum of its proper divisors (225832226891).

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

193010848900 is an frugal number, since it uses more digits than its factorization.

193010848900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87880 (or 43940 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 43.

The spelling of 193010848900 in words is "one hundred ninety-three billion, ten million, eight hundred forty-eight thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 43933 87866 175732 219665 439330 878660 1098325 2196650 4393300 1930108489 3860216978 7720433956 9650542445 19301084890 38602169780 48252712225 96505424450 193010848900