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11394224712 = 23321327571237
BaseRepresentation
bin10101001110010011…
…00001001001001000
31002102002020120212200
422213021201021020
5141313410142322
65122345440200
7552234212013
oct124711411110
932362216780
1011394224712
114917819742
12225baa0060
1310c77c6300
147a13b037a
1546a4b18ac
hex2a7261248

11394224712 has 144 divisors (see below), whose sum is σ = 33486946740. Its totient is φ = 3498453504.

The previous prime is 11394224707. The next prime is 11394224717. The reversal of 11394224712 is 21742249311.

11394224712 is a `hidden beast` number, since 11 + 394 + 2 + 247 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (11394224707) and next prime (11394224717).

It can be written as a sum of positive squares in 6 ways, for example, as 3507719076 + 7886505636 = 59226^2 + 88806^2 .

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 (11394224717) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9210558 + ... + 9211794.

Almost surely, 211394224712 is an apocalyptic number.

11394224712 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 11394224712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16743473370).

11394224712 is an abundant number, since it is smaller than the sum of its proper divisors (22092722028).

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

11394224712 is a wasteful number, since it uses less digits than its factorization.

11394224712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2032 (or 2012 counting only the distinct ones).

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

The spelling of 11394224712 in words is "eleven billion, three hundred ninety-four million, two hundred twenty-four thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 169 234 312 338 468 507 676 757 936 1014 1237 1352 1514 1521 2028 2271 2474 3028 3042 3711 4056 4542 4948 6056 6084 6813 7422 9084 9841 9896 11133 12168 13626 14844 16081 18168 19682 22266 27252 29523 29688 32162 39364 44532 48243 54504 59046 64324 78728 88569 89064 96486 118092 127933 128648 144729 177138 192972 209053 236184 255866 289458 354276 383799 385944 418106 511732 578916 627159 708552 767598 836212 936409 1023464 1151397 1157832 1254318 1535196 1672424 1872818 1881477 2302794 2508636 2809227 3070392 3745636 3762954 4605588 5017272 5618454 7491272 7525908 8427681 9211176 11236908 12173317 15051816 16855362 22473816 24346634 33710724 36519951 48693268 67421448 73039902 97386536 109559853 146079804 158253121 219119706 292159608 316506242 438239412 474759363 633012484 876478824 949518726 1266024968 1424278089 1899037452 2848556178 3798074904 5697112356 11394224712