Search a number
-
+
11905526472 = 2337227137357
BaseRepresentation
bin10110001011001111…
…11110101011001000
31010201201100102000220
423011213332223020
5143340303321342
65245212430040
7601013206500
oct130547765310
933651312026
1011905526472
11505a3a5284
122383178320
131179707628
1480d268a00
1549a30d5ec
hex2c59feac8

11905526472 has 96 divisors (see below), whose sum is σ = 34751905920. Its totient is φ = 3388936320.

The previous prime is 11905526467. The next prime is 11905526473. The reversal of 11905526472 is 27462550911.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (11905526473) 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 23 ways as a sum of consecutive naturals, for example, 300018 + ... + 337374.

It is an arithmetic number, because the mean of its divisors is an integer number (361999020).

Almost surely, 211905526472 is an apocalyptic number.

11905526472 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 11905526472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17375952960).

11905526472 is an abundant number, since it is smaller than the sum of its proper divisors (22846379448).

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

11905526472 is a wasteful number, since it uses less digits than its factorization.

11905526472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37651 (or 37640 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 42.

The spelling of 11905526472 in words is "eleven billion, nine hundred five million, five hundred twenty-six thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 271 294 392 542 588 813 1084 1176 1626 1897 2168 3252 3794 5691 6504 7588 11382 13279 15176 22764 26558 37357 39837 45528 53116 74714 79674 106232 112071 149428 159348 224142 261499 298856 318696 448284 522998 784497 896568 1045996 1568994 1830493 2091992 3137988 3660986 5491479 6275976 7321972 10123747 10982958 14643944 20247494 21965916 30371241 40494988 43931832 60742482 70866229 80989976 121484964 141732458 212598687 242969928 283464916 425197374 496063603 566929832 850394748 992127206 1488190809 1700789496 1984254412 2976381618 3968508824 5952763236 11905526472