Search a number
-
+
19506199248 = 243345153239
BaseRepresentation
bin10010001010101010…
…001111101011010000
31212100102100120222000
4102022222033223100
5304422041333443
612543325314000
71260244646364
oct221252175320
955312316860
1019506199248
1182aa817228
123944705900
131abb2b3443
14d308a52a4
157927298d3
hex48aa8fad0

19506199248 has 40 divisors (see below), whose sum is σ = 55990017600. Its totient is φ = 6502066272.

The previous prime is 19506199243. The next prime is 19506199253. The reversal of 19506199248 is 84299160591.

19506199248 is a `hidden beast` number, since 1 + 9 + 506 + 1 + 9 + 92 + 48 = 666.

It is an interprime number because it is at equal distance from previous prime (19506199243) and next prime (19506199253).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 19506199194 and 19506199203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19506199243) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22576188 + ... + 22577051.

It is an arithmetic number, because the mean of its divisors is an integer number (1399750440).

Almost surely, 219506199248 is an apocalyptic number.

19506199248 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

19506199248 is an abundant number, since it is smaller than the sum of its proper divisors (36483818352).

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

19506199248 is a wasteful number, since it uses less digits than its factorization.

19506199248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45153256 (or 45153244 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 54.

The spelling of 19506199248 in words is "nineteen billion, five hundred six million, one hundred ninety-nine thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 45153239 90306478 135459717 180612956 270919434 361225912 406379151 541838868 722451824 812758302 1083677736 1219137453 1625516604 2167355472 2438274906 3251033208 4876549812 6502066416 9753099624 19506199248