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11045240352 = 25358391693
BaseRepresentation
bin10100100100101100…
…01111111000100000
31001111202120100100000
422102112033320200
5140110040142402
65024001500000
7540465664626
oct122226177040
931452510300
1011045240352
114758828613
122183041600
1310704074a3
1476acc9516
15449a28c1c
hex29258fe20

11045240352 has 144 divisors (see below), whose sum is σ = 32631318720. Its totient is φ = 3675186432.

The previous prime is 11045240347. The next prime is 11045240363. The reversal of 11045240352 is 25304254011.

11045240352 is a `hidden beast` number, since 1 + 104 + 524 + 0 + 35 + 2 = 666.

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 (27).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6523218 + ... + 6524910.

It is an arithmetic number, because the mean of its divisors is an integer number (226606380).

Almost surely, 211045240352 is an apocalyptic number.

11045240352 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 11045240352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16315659360).

11045240352 is an abundant number, since it is smaller than the sum of its proper divisors (21586078368).

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

11045240352 is an equidigital number, since it uses as much as digits as its factorization.

11045240352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2557 (or 2537 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 11045240352 its reverse (25304254011), we get a palindrome (36349494363).

The spelling of 11045240352 in words is "eleven billion, forty-five million, two hundred forty thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 839 864 972 1296 1678 1693 1944 2517 2592 3356 3386 3888 5034 5079 6712 6772 7551 7776 10068 10158 13424 13544 15102 15237 20136 20316 22653 26848 27088 30204 30474 40272 40632 45306 45711 54176 60408 60948 67959 80544 81264 90612 91422 120816 121896 135918 137133 162528 181224 182844 203877 241632 243792 271836 274266 362448 365688 407754 411399 487584 543672 548532 724896 731376 815508 822798 1087344 1097064 1420427 1462752 1631016 1645596 2174688 2194128 2840854 3262032 3291192 4261281 4388256 5681708 6524064 6582384 8522562 11363416 12783843 13164768 17045124 22726832 25567686 34090248 38351529 45453664 51135372 68180496 76703058 102270744 115054587 136360992 153406116 204541488 230109174 306812232 345163761 409082976 460218348 613624464 690327522 920436696 1227248928 1380655044 1840873392 2761310088 3681746784 5522620176 11045240352