Search a number
-
+
10193554552230 = 23357192325748023
BaseRepresentation
bin1001010001010101111100…
…1100101011010110100110
31100002111100100021021012000
42110111133030223112212
52314002344431132410
633402504310510130
72101313533033350
oct224253714532646
940074310237160
1010193554552230
113280075887985
1211876b4965346
1358c32c016c7a
142735291aa0d0
1512a2575dedc0
hex9455f32b5a6

10193554552230 has 512 divisors, whose sum is σ = 34256402841600. Its totient is φ = 2103096213504.

The previous prime is 10193554552057. The next prime is 10193554552241. The reversal of 10193554552230 is 3225545539101.

10193554552230 is a `hidden beast` number, since 1 + 0 + 1 + 9 + 3 + 55 + 45 + 522 + 30 = 666.

It is a super-3 number, since 3×101935545522303 (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 212239999 + ... + 212288021.

It is an arithmetic number, because the mean of its divisors is an integer number (66907036800).

Almost surely, 210193554552230 is an apocalyptic number.

10193554552230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10193554552230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17128201420800).

10193554552230 is an abundant number, since it is smaller than the sum of its proper divisors (24062848289370).

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

10193554552230 is a wasteful number, since it uses less digits than its factorization.

10193554552230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48345 (or 48339 counting only the distinct ones).

The product of its (nonzero) digits is 810000, while the sum is 45.

The spelling of 10193554552230 in words is "ten trillion, one hundred ninety-three billion, five hundred fifty-four million, five hundred fifty-two thousand, two hundred thirty".