Search a number
-
+
19203540312 = 23311194193377
BaseRepresentation
bin10001111000100111…
…101100010101011000
31211120022211220221210
4101320213230111120
5303312101242222
612453314303120
71246611253665
oct217047542530
954508756853
1019203540312
118164997080
12387b287aa0
131a70694308
14d025dca6c
15775d92d0c
hex4789ec558

19203540312 has 128 divisors (see below), whose sum is σ = 56475014400. Its totient is φ = 5378457600.

The previous prime is 19203540277. The next prime is 19203540313. The reversal of 19203540312 is 21304530291.

It is a self number, because there is not a number n which added to its sum of digits gives 19203540312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19203540313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 158968 + ... + 252344.

It is an arithmetic number, because the mean of its divisors is an integer number (441211050).

Almost surely, 219203540312 is an apocalyptic number.

19203540312 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 19203540312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28237507200).

19203540312 is an abundant number, since it is smaller than the sum of its proper divisors (37271474088).

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

19203540312 is a wasteful number, since it uses less digits than its factorization.

19203540312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93457 (or 93453 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The spelling of 19203540312 in words is "nineteen billion, two hundred three million, five hundred forty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 19 22 24 33 38 41 44 57 66 76 82 88 114 123 132 152 164 209 228 246 264 328 418 451 456 492 627 779 836 902 984 1254 1353 1558 1672 1804 2337 2508 2706 3116 3608 4674 5016 5412 6232 8569 9348 10824 17138 18696 25707 34276 51414 68552 93377 102828 186754 205656 280131 373508 560262 747016 1027147 1120524 1774163 2054294 2241048 3081441 3548326 3828457 4108588 5322489 6162882 7096652 7656914 8217176 10644978 11485371 12325764 14193304 15313828 19515793 21289956 22970742 24651528 30627656 39031586 42113027 42579912 45941484 58547379 72740683 78063172 84226054 91882968 117094758 126339081 145481366 156126344 168452108 218222049 234189516 252678162 290962732 336904216 436444098 468379032 505356324 581925464 800147513 872888196 1010712648 1600295026 1745776392 2400442539 3200590052 4800885078 6401180104 9601770156 19203540312