Search a number
-
+
19147032576 = 211327148399
BaseRepresentation
bin10001110101010000…
…001000100000000000
31211102101112000220200
4101311100020200000
5303203120020301
612443535205200
71245324043260
oct216520104000
954371460820
1019147032576
118136000a71
123864376800
131a61a6aa99
14cd8ccd7a0
15770e2ec86
hex475408800

19147032576 has 144 divisors (see below), whose sum is σ = 63200592000. Its totient is φ = 5470543872.

The previous prime is 19147032557. The next prime is 19147032581. The reversal of 19147032576 is 67523074191.

19147032576 is a `hidden beast` number, since 1 + 9 + 1 + 4 + 70 + 3 + 2 + 576 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54825 + ... + 203223.

It is an arithmetic number, because the mean of its divisors is an integer number (438893000).

Almost surely, 219147032576 is an apocalyptic number.

19147032576 is a gapful number since it is divisible by the number (16) 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 19147032576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31600296000).

19147032576 is an abundant number, since it is smaller than the sum of its proper divisors (44053559424).

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

19147032576 is a wasteful number, since it uses less digits than its factorization.

19147032576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148434 (or 148411 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 19147032576 in words is "nineteen billion, one hundred forty-seven million, thirty-two thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 512 576 672 768 896 1008 1024 1152 1344 1536 1792 2016 2048 2304 2688 3072 3584 4032 4608 5376 6144 7168 8064 9216 10752 14336 16128 18432 21504 32256 43008 64512 129024 148399 296798 445197 593596 890394 1038793 1187192 1335591 1780788 2077586 2374384 2671182 3116379 3561576 4155172 4748768 5342364 6232758 7123152 8310344 9349137 9497536 10684728 12465516 14246304 16620688 18698274 18995072 21369456 24931032 28492608 33241376 37396548 37990144 42738912 49862064 56985216 66482752 74793096 75980288 85477824 99724128 113970432 132965504 149586192 151960576 170955648 199448256 227940864 265931008 299172384 303921152 341911296 398896512 455881728 531862016 598344768 683822592 797793024 911763456 1063724032 1196689536 1367645184 1595586048 2127448064 2393379072 2735290368 3191172096 4786758144 6382344192 9573516288 19147032576