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19123133148 = 22327192210209
BaseRepresentation
bin10001110011110100…
…111101101011011100
31211100201112211001200
4101303310331223130
5303131010230043
612441323035500
71244613643530
oct216364755334
954321484050
1019123133148
118123567a79
12385836bb90
131a59b20802
14cd5a6bbc0
1576dcad7d3
hex473d3dadc

19123133148 has 108 divisors (see below), whose sum is σ = 58305527280. Its totient is φ = 5176161792.

The previous prime is 19123133147. The next prime is 19123133221. The reversal of 19123133148 is 84133132191.

19123133148 is a `hidden beast` number, since 1 + 91 + 231 + 331 + 4 + 8 = 666.

It is a super-2 number, since 2×191231331482 (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19123133143) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14133 + ... + 196076.

Almost surely, 219123133148 is an apocalyptic number.

19123133148 is a gapful number since it is divisible by the number (18) 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 19123133148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29152763640).

19123133148 is an abundant number, since it is smaller than the sum of its proper divisors (39182394132).

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

19123133148 is a wasteful number, since it uses less digits than its factorization.

19123133148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210264 (or 210240 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The spelling of 19123133148 in words is "nineteen billion, one hundred twenty-three million, one hundred thirty-three thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 28 36 38 42 57 63 76 84 114 126 133 171 228 252 266 342 361 399 532 684 722 798 1083 1197 1444 1596 2166 2394 2527 3249 4332 4788 5054 6498 7581 10108 12996 15162 22743 30324 45486 90972 210209 420418 630627 840836 1261254 1471463 1891881 2522508 2942926 3783762 3993971 4414389 5885852 7567524 7987942 8828778 11981913 13243167 15975884 17657556 23963826 26486334 27957797 35945739 47927652 52972668 55915594 71891478 75885449 83873391 111831188 143782956 151770898 167746782 227656347 251620173 303541796 335493564 455312694 503240346 531198143 682969041 910625388 1006480692 1062396286 1365938082 1593594429 2124792572 2731876164 3187188858 4780783287 6374377716 9561566574 19123133148