Search a number
-
+
19523475900 = 22335216974261
BaseRepresentation
bin10010001011101100…
…001001100110111100
31212101121212100002000
4102023230021212330
5304441002212100
612545143502300
71260544543545
oct221354114674
955347770060
1019523475900
118309547455
12394a457990
131ac1a52106
14d32cc14cc
15793edd900
hex48bb099bc

19523475900 has 144 divisors (see below), whose sum is σ = 62816083680. Its totient is φ = 5201971200.

The previous prime is 19523475863. The next prime is 19523475901. The reversal of 19523475900 is 957432591.

It is a happy number.

19523475900 is a `hidden beast` number, since 1 + 9 + 52 + 3 + 4 + 7 + 590 + 0 = 666.

It is a super-2 number, since 2×195234759002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19523475901) 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 47 ways as a sum of consecutive naturals, for example, 4579770 + ... + 4584030.

Almost surely, 219523475900 is an apocalyptic number.

19523475900 is a gapful number since it is divisible by the number (10) 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 19523475900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31408041840).

19523475900 is an abundant number, since it is smaller than the sum of its proper divisors (43292607780).

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

19523475900 is a wasteful number, since it uses less digits than its factorization.

19523475900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5981 (or 5968 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The spelling of 19523475900 in words is "nineteen billion, five hundred twenty-three million, four hundred seventy-five thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 135 150 180 225 270 300 450 540 675 900 1350 1697 2700 3394 4261 5091 6788 8485 8522 10182 12783 15273 16970 17044 20364 21305 25455 25566 30546 33940 38349 42425 42610 45819 50910 51132 61092 63915 76365 76698 84850 85220 91638 101820 106525 115047 127275 127830 152730 153396 169700 183276 191745 213050 229095 230094 254550 255660 305460 319575 381825 383490 426100 458190 460188 509100 575235 639150 763650 766980 916380 958725 1145475 1150470 1278300 1527300 1917450 2290950 2300940 2876175 3834900 4581900 5752350 7230917 11504700 14461834 21692751 28923668 36154585 43385502 65078253 72309170 86771004 108463755 130156506 144618340 180772925 195234759 216927510 260313012 325391265 361545850 390469518 433855020 542318775 650782530 723091700 780939036 976173795 1084637550 1301565060 1626956325 1952347590 2169275100 3253912650 3904695180 4880868975 6507825300 9761737950 19523475900