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11051002624 = 282913910709
BaseRepresentation
bin10100100101011000…
…01110101100000000
31001112011102002200111
422102230032230000
5140113024040444
65024325201104
7540565654354
oct122254165400
931464362614
1011051002624
114761003922
122184b60194
13107167420c
1476b989464
1544a2b6234
hex292b0eb00

11051002624 has 72 divisors (see below), whose sum is σ = 22985802000. Its totient is φ = 5296091136.

The previous prime is 11051002621. The next prime is 11051002657. The reversal of 11051002624 is 42620015011.

It is a junction number, because it is equal to n+sod(n) for n = 11051002595 and 11051002604.

It is not an unprimeable number, because it can be changed into a prime (11051002621) 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 7 ways as a sum of consecutive naturals, for example, 1026582 + ... + 1037290.

It is an arithmetic number, because the mean of its divisors is an integer number (319247250).

Almost surely, 211051002624 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 11051002624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11492901000).

11051002624 is an abundant number, since it is smaller than the sum of its proper divisors (11934799376).

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

11051002624 is a wasteful number, since it uses less digits than its factorization.

11051002624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10893 (or 10879 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

Adding to 11051002624 its reverse (42620015011), we get a palindrome (53671017635).

The spelling of 11051002624 in words is "eleven billion, fifty-one million, two thousand, six hundred twenty-four".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 139 232 256 278 464 556 928 1112 1856 2224 3712 4031 4448 7424 8062 8896 10709 16124 17792 21418 32248 35584 42836 64496 85672 128992 171344 257984 310561 342688 515968 621122 685376 1031936 1242244 1370752 1488551 2484488 2741504 2977102 4968976 5954204 9937952 11908408 19875904 23816816 39751808 43167979 47633632 79503616 86335958 95267264 172671916 190534528 345343832 381069056 690687664 1381375328 2762750656 5525501312 11051002624