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11330667252 = 22321989373499
BaseRepresentation
bin10101000110101110…
…00100001011110100
31002020122122112102200
422203113010023310
5141201122323002
65112155304500
7550533040212
oct124327041364
932218575380
1011330667252
114894959013
12224274b130
1310b75a2048
14796b87cb2
15464b09b1c
hex2a35c42f4

11330667252 has 144 divisors (see below), whose sum is σ = 30630600000. Its totient is φ = 3521346048.

The previous prime is 11330667247. The next prime is 11330667259. The reversal of 11330667252 is 25276603311.

11330667252 is a `hidden beast` number, since 11 + 330 + 6 + 67 + 252 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11330667259) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22706499 + ... + 22706997.

It is an arithmetic number, because the mean of its divisors is an integer number (212712500).

Almost surely, 211330667252 is an apocalyptic number.

11330667252 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 11330667252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15315300000).

11330667252 is an abundant number, since it is smaller than the sum of its proper divisors (19299932748).

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

11330667252 is a wasteful number, since it uses less digits than its factorization.

11330667252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 990 (or 985 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 11330667252 in words is "eleven billion, three hundred thirty million, six hundred sixty-seven thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 89 114 171 178 228 267 342 356 373 499 534 684 746 801 998 1068 1119 1492 1497 1602 1691 1996 2238 2994 3204 3357 3382 4476 4491 5073 5988 6714 6764 7087 8982 9481 10146 13428 14174 15219 17964 18962 20292 21261 28348 28443 30438 33197 37924 42522 44411 56886 60876 63783 66394 85044 85329 88822 99591 113772 127566 132788 133233 170658 177644 186127 199182 255132 266466 298773 341316 372254 398364 399699 532932 558381 597546 630743 744508 799398 843809 1116762 1195092 1261486 1598796 1675143 1687618 1892229 2233524 2522972 2531427 3350286 3375236 3536413 3784458 5062854 5676687 6700572 7072826 7568916 7594281 10125708 10609239 11353374 14145652 15188562 16565303 21218478 22706748 30377124 31827717 33130606 42436956 49695909 63655434 66261212 99391818 127310868 149087727 198783636 298175454 314740757 596350908 629481514 944222271 1258963028 1888444542 2832666813 3776889084 5665333626 11330667252