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11041251552 = 2532329911621
BaseRepresentation
bin10100100100001110…
…00010000011100000
31001111111001200201200
422102013002003200
5140103030022202
65023340201200
7540420042522
oct122207020340
931444050650
1011041251552
114756553791
122181839200
13106c63ba56
1476a56ba12
154494dbe1c
hex2921c20e0

11041251552 has 72 divisors (see below), whose sum is σ = 31410779400. Its totient is φ = 3678984960.

The previous prime is 11041251523. The next prime is 11041251581. The reversal of 11041251552 is 25515214011.

It is a happy number.

11041251552 is a `hidden beast` number, since 1 + 104 + 1 + 2 + 5 + 1 + 552 = 666.

It is an interprime number because it is at equal distance from previous prime (11041251523) and next prime (11041251581).

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 944302 + ... + 955922.

It is an arithmetic number, because the mean of its divisors is an integer number (436260825).

Almost surely, 211041251552 is an apocalyptic number.

11041251552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11041251552 is an abundant number, since it is smaller than the sum of its proper divisors (20369527848).

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

11041251552 is a wasteful number, since it uses less digits than its factorization.

11041251552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14936 (or 14925 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 27.

Adding to 11041251552 its reverse (25515214011), we get a palindrome (36556465563).

The spelling of 11041251552 in words is "eleven billion, forty-one million, two hundred fifty-one thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 3299 6598 9897 11621 13196 19794 23242 26392 29691 34863 39588 46484 52784 59382 69726 79176 92968 104589 105568 118764 139452 158352 185936 209178 237528 278904 316704 371872 418356 475056 557808 836712 950112 1115616 1673424 3346848 38337679 76675358 115013037 153350716 230026074 306701432 345039111 460052148 613402864 690078222 920104296 1226805728 1380156444 1840208592 2760312888 3680417184 5520625776 11041251552