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19417431024 = 243371633067
BaseRepresentation
bin10010000101010111…
…100111101111110000
31212010020022200212000
4102011113213233300
5304231330243044
612530434534000
71255116304035
oct220527475760
955106280760
1019417431024
1182646a7362
12391aa37300
131aa5aa3074
14d22b9938c
15789a42d69
hex4855e7bf0

19417431024 has 80 divisors (see below), whose sum is σ = 56520311040. Its totient is φ = 6381305280.

The previous prime is 19417430999. The next prime is 19417431029. The reversal of 19417431024 is 42013471491.

19417431024 is a `hidden beast` number, since 194 + 17 + 431 + 0 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 19417431024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19417431029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 285862 + ... + 347205.

It is an arithmetic number, because the mean of its divisors is an integer number (706503888).

Almost surely, 219417431024 is an apocalyptic number.

It is an amenable number.

19417431024 is an abundant number, since it is smaller than the sum of its proper divisors (37102880016).

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

19417431024 is a wasteful number, since it uses less digits than its factorization.

19417431024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633155 (or 633143 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 19417431024 in words is "nineteen billion, four hundred seventeen million, four hundred thirty-one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 71 72 108 142 144 213 216 284 426 432 568 639 852 1136 1278 1704 1917 2556 3408 3834 5112 7668 10224 15336 30672 633067 1266134 1899201 2532268 3798402 5064536 5697603 7596804 10129072 11395206 15193608 17092809 22790412 30387216 34185618 44947757 45580824 68371236 89895514 91161648 134843271 136742472 179791028 269686542 273484944 359582056 404529813 539373084 719164112 809059626 1078746168 1213589439 1618119252 2157492336 2427178878 3236238504 4854357756 6472477008 9708715512 19417431024