Search a number
-
+
19153840932 = 2234411499677
BaseRepresentation
bin10001110101101010…
…000110101100100100
31211102212022221020000
4101311222012230210
5303211340402212
612444341141300
71245435650562
oct216552065444
954385287200
1019153840932
118139931206
1238666ba830
131a632b29b5
14cd9b82a32
157718271dc
hex475a86b24

19153840932 has 120 divisors (see below), whose sum is σ = 51642775800. Its totient is φ = 6186447360.

The previous prime is 19153840903. The next prime is 19153840933. The reversal of 19153840932 is 23904835191.

It is a happy number.

19153840932 is a `hidden beast` number, since 191 + 53 + 8 + 409 + 3 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3709476 + 19150131456 = 1926^2 + 138384^2 .

It is not an unprimeable number, because it can be changed into a prime (19153840933) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1974478 + ... + 1984154.

It is an arithmetic number, because the mean of its divisors is an integer number (430356465).

Almost surely, 219153840932 is an apocalyptic number.

19153840932 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 19153840932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25821387900).

19153840932 is an abundant number, since it is smaller than the sum of its proper divisors (32488934868).

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

19153840932 is a wasteful number, since it uses less digits than its factorization.

19153840932 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9883 (or 9872 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 19153840932 in words is "nineteen billion, one hundred fifty-three million, eight hundred forty thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 81 82 108 123 149 162 164 246 298 324 369 447 492 596 738 894 1107 1341 1476 1788 2214 2682 3321 4023 4428 5364 6109 6642 8046 9677 12069 12218 13284 16092 18327 19354 24138 24436 29031 36654 38708 48276 54981 58062 73308 87093 109962 116124 164943 174186 219924 261279 329886 348372 396757 494829 522558 659772 783837 793514 989658 1045116 1190271 1441873 1567674 1587028 1979316 2380542 2883746 3135348 3570813 4325619 4761084 5767492 7141626 8651238 10712439 12976857 14283252 17302476 21424878 25953714 32137317 38930571 42849756 51907428 59116793 64274634 77861142 116791713 118233586 128549268 155722284 177350379 233583426 236467172 354700758 467166852 532051137 709401516 1064102274 1596153411 2128204548 3192306822 4788460233 6384613644 9576920466 19153840932