Search a number
-
+
19145253312 = 26347350591
BaseRepresentation
bin10001110101001001…
…010110000111000000
31211102021011122020000
4101311021112013000
5303202141101222
612443433120000
71245302653023
oct216511260700
954367148200
1019145253312
118134aa61a9
123863859000
131a61596c73
14cd89891ba
15770bcc9ac
hex4752561c0

19145253312 has 140 divisors (see below), whose sum is σ = 57531097536. Its totient is φ = 6294205440.

The previous prime is 19145253311. The next prime is 19145253313. The reversal of 19145253312 is 21335254191.

It is a happy number.

19145253312 is a `hidden beast` number, since 1 + 91 + 4 + 5 + 253 + 312 = 666.

It is an interprime number because it is at equal distance from previous prime (19145253311) and next prime (19145253313).

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 (19145253311) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 353137 + ... + 403727.

Almost surely, 219145253312 is an apocalyptic number.

19145253312 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 19145253312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28765548768).

19145253312 is an abundant number, since it is smaller than the sum of its proper divisors (38385844224).

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

19145253312 is an equidigital number, since it uses as much as digits as its factorization.

19145253312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50688 (or 50669 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The spelling of 19145253312 in words is "nineteen billion, one hundred forty-five million, two hundred fifty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 73 81 96 108 144 146 162 192 216 219 288 292 324 432 438 576 584 648 657 864 876 1168 1296 1314 1728 1752 1971 2336 2592 2628 3504 3942 4672 5184 5256 5913 7008 7884 10512 11826 14016 15768 21024 23652 31536 42048 47304 50591 63072 94608 101182 126144 151773 189216 202364 303546 378432 404728 455319 607092 809456 910638 1214184 1365957 1618912 1821276 2428368 2731914 3237824 3642552 3693143 4097871 4856736 5463828 7285104 7386286 8195742 9713472 10927656 11079429 14570208 14772572 16391484 21855312 22158858 29140416 29545144 32782968 33238287 43710624 44317716 59090288 65565936 66476574 87421248 88635432 99714861 118180576 131131872 132953148 177270864 199429722 236361152 262263744 265906296 299144583 354541728 398859444 531812592 598289166 709083456 797718888 1063625184 1196578332 1595437776 2127250368 2393156664 3190875552 4786313328 6381751104 9572626656 19145253312