Search a number
-
+
11423384352 = 2532151347757
BaseRepresentation
bin10101010001110001…
…10000001100100000
31002111010010001101100
422220320300030200
5141343341244402
65125310434400
7553040110362
oct125070601440
932433101340
1011423384352
114932225816
122269802a00
131100865933
147a5200d32
1546cd2171c
hex2a8e30320

11423384352 has 144 divisors (see below), whose sum is σ = 32837942592. Its totient is φ = 3766694400.

The previous prime is 11423384351. The next prime is 11423384381. The reversal of 11423384352 is 25348332411.

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

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

It is not an unprimeable number, because it can be changed into a prime (11423384351) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15089958 + ... + 15090714.

It is an arithmetic number, because the mean of its divisors is an integer number (228041268).

Almost surely, 211423384352 is an apocalyptic number.

11423384352 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 11423384352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16418971296).

11423384352 is an abundant number, since it is smaller than the sum of its proper divisors (21414558240).

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

11423384352 is a wasteful number, since it uses less digits than its factorization.

11423384352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1271 (or 1260 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The spelling of 11423384352 in words is "eleven billion, four hundred twenty-three million, three hundred eighty-four thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 151 288 302 347 453 604 694 757 906 1041 1208 1359 1388 1514 1812 2082 2271 2416 2718 2776 3028 3123 3624 4164 4542 4832 5436 5552 6056 6246 6813 7248 8328 9084 10872 11104 12112 12492 13626 14496 16656 18168 21744 24224 24984 27252 33312 36336 43488 49968 52397 54504 72672 99936 104794 109008 114307 157191 209588 218016 228614 262679 314382 342921 419176 457228 471573 525358 628764 685842 788037 838352 914456 943146 1028763 1050716 1257528 1371684 1576074 1676704 1828912 1886292 2057526 2101432 2364111 2515056 2743368 3152148 3657824 3772584 4115052 4202864 4728222 5030112 5486736 6304296 7545168 8230104 8405728 9456444 10973472 12608592 15090336 16460208 18912888 25217184 32920416 37825776 39664529 75651552 79329058 118993587 158658116 237987174 317316232 356980761 475974348 634632464 713961522 951948696 1269264928 1427923044 1903897392 2855846088 3807794784 5711692176 11423384352