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19212143132 = 22713198333469
BaseRepresentation
bin10001111001001000…
…100000101000011100
31211120221000222210202
4101321020200220130
5303321302040012
612454222523032
71250044344050
oct217110405034
954527028722
1019212143132
118169832546
123882136478
131a723b6c40
14d037dbc60
157769e1cc2
hex479220a1c

19212143132 has 96 divisors (see below), whose sum is σ = 44084006400. Its totient is φ = 7113422592.

The previous prime is 19212143129. The next prime is 19212143147. The reversal of 19212143132 is 23134121291.

It is a super-3 number, since 3×192121431323 (a number of 32 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 19212143095 and 19212143104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 557294 + ... + 590762.

It is an arithmetic number, because the mean of its divisors is an integer number (459208400).

Almost surely, 219212143132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19212143132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22042003200).

19212143132 is an abundant number, since it is smaller than the sum of its proper divisors (24871863268).

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

19212143132 is a wasteful number, since it uses less digits than its factorization.

19212143132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33595 (or 33593 counting only the distinct ones).

The product of its digits is 2592, while the sum is 29.

The spelling of 19212143132 in words is "nineteen billion, two hundred twelve million, one hundred forty-three thousand, one hundred thirty-two".

Divisors: 1 2 4 7 13 14 19 26 28 38 52 76 83 91 133 166 182 247 266 332 364 494 532 581 988 1079 1162 1577 1729 2158 2324 3154 3458 4316 6308 6916 7553 11039 15106 20501 22078 30212 33469 41002 44156 66938 82004 133876 143507 234283 287014 435097 468566 574028 635911 870194 937132 1271822 1740388 2543644 2777927 3045679 4451377 5555854 6091358 8266843 8902754 11111708 12182716 16533686 17805508 19445489 33067372 36113051 38890978 52780613 57867901 72226102 77781956 105561226 115735802 144452204 211122452 231471604 252791357 369464291 505582714 686147969 738928582 1011165428 1372295938 1477857164 2744591876 4803035783 9606071566 19212143132