Search a number
-
+
11207305472 = 281167191311
BaseRepresentation
bin10100111000000000…
…11110100100000000
31001221001112002212212
422130000132210000
5140423032233342
65052031241252
7544504344656
oct123400364400
931831462785
1011207305472
114831260530
122209379228
131097b6bbcc
14784634dd6
15458d8d182
hex29c01e900

11207305472 has 144 divisors (see below), whose sum is σ = 24978530304. Its totient is φ = 4975872000.

The previous prime is 11207305463. The next prime is 11207305481. The reversal of 11207305472 is 27450370211.

It is an interprime number because it is at equal distance from previous prime (11207305463) and next prime (11207305481).

It is a super-2 number, since 2×112073054722 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36036197 + ... + 36036507.

It is an arithmetic number, because the mean of its divisors is an integer number (173462016).

Almost surely, 211207305472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11207305472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12489265152).

11207305472 is an abundant number, since it is smaller than the sum of its proper divisors (13771224832).

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

11207305472 is a wasteful number, since it uses less digits than its factorization.

11207305472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 596 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 32.

Adding to 11207305472 its reverse (27450370211), we get a palindrome (38657675683).

The spelling of 11207305472 in words is "eleven billion, two hundred seven million, three hundred five thousand, four hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 67 88 128 134 176 191 256 268 311 352 382 536 622 704 737 764 1072 1244 1408 1474 1528 2101 2144 2488 2816 2948 3056 3421 4202 4288 4976 5896 6112 6842 8404 8576 9952 11792 12224 12797 13684 16808 17152 19904 20837 23584 24448 25594 27368 33616 39808 41674 47168 48896 51188 54736 59401 67232 79616 83348 94336 102376 109472 118802 134464 140767 166696 188672 204752 218944 229207 237604 268928 281534 333392 409504 437888 458414 475208 537856 563068 653411 666784 819008 875776 916828 950416 1126136 1306822 1333568 1638016 1833656 1900832 2252272 2613644 2667136 3276032 3667312 3801664 3979867 4504544 5227288 5334272 7334624 7603328 7959734 9009088 10454576 14669248 15206656 15919468 18018176 20909152 29338496 31838936 36036352 41818304 43778537 58676992 63677872 83636608 87557074 127355744 167273216 175114148 254711488 350228296 509422976 700456592 1018845952 1400913184 2801826368 5603652736 11207305472