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19100027232 = 25331113154591
BaseRepresentation
bin10001110010011100…
…110100100101100000
31211022010001220201000
4101302130310211200
5303104101332412
612435135512000
71244213360406
oct216234644540
954263056630
1019100027232
118111516180
123850688600
131a550c0780
14cd2975476
1576bc474dc
hex472734960

19100027232 has 192 divisors, whose sum is σ = 65448069120. Its totient is φ = 5342630400.

The previous prime is 19100027227. The next prime is 19100027239. The reversal of 19100027232 is 23272000191.

It is a super-2 number, since 2×191000272322 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 19100027196 and 19100027205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19100027239) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46257 + ... + 200847.

It is an arithmetic number, because the mean of its divisors is an integer number (340875360).

Almost surely, 219100027232 is an apocalyptic number.

19100027232 is a gapful number since it is divisible by the number (12) 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 19100027232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32724034560).

19100027232 is an abundant number, since it is smaller than the sum of its proper divisors (46348041888).

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

19100027232 is a wasteful number, since it uses less digits than its factorization.

19100027232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154634 (or 154620 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The spelling of 19100027232 in words is "nineteen billion, one hundred million, twenty-seven thousand, two hundred thirty-two".