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11051763744 = 253719245557
BaseRepresentation
bin10100100101011110…
…01000100000100000
31001112012211202202010
422102233020200200
5140113222414434
65024353352520
7540605304360
oct122257104040
931465752663
1011051763744
11476148374a
122185268740
13107187c798
1476bb069a0
1544a3b69e9
hex292bc8820

11051763744 has 144 divisors (see below), whose sum is σ = 34992917568. Its totient is φ = 2991389184.

The previous prime is 11051763743. The next prime is 11051763761. The reversal of 11051763744 is 44736715011.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (11051763743) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 219814 + ... + 265370.

It is an arithmetic number, because the mean of its divisors is an integer number (243006372).

Almost surely, 211051763744 is an apocalyptic number.

11051763744 is a gapful number since it is divisible by the number (14) 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 11051763744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17496458784).

11051763744 is an abundant number, since it is smaller than the sum of its proper divisors (23941153824).

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

11051763744 is a wasteful number, since it uses less digits than its factorization.

11051763744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45615 (or 45588 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 39.

The spelling of 11051763744 in words is "eleven billion, fifty-one million, seven hundred sixty-three thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 56 57 76 84 96 112 114 133 152 168 224 228 266 304 336 361 399 456 532 608 672 722 798 912 1064 1083 1444 1596 1824 2128 2166 2527 2888 3192 4256 4332 5054 5776 6384 7581 8664 10108 11552 12768 15162 17328 20216 30324 34656 40432 45557 60648 80864 91114 121296 136671 182228 242592 273342 318899 364456 546684 637798 728912 865583 956697 1093368 1275596 1457824 1731166 1913394 2186736 2551192 2596749 3462332 3826788 4373472 5102384 5193498 6059081 6924664 7653576 10204768 10386996 12118162 13849328 15307152 16446077 18177243 20773992 24236324 27698656 30614304 32892154 36354486 41547984 48472648 49338231 65784308 72708972 83095968 96945296 98676462 115122539 131568616 145417944 193890592 197352924 230245078 263137232 290835888 345367617 394705848 460490156 526274464 581671776 690735234 789411696 920980312 1381470468 1578823392 1841960624 2762940936 3683921248 5525881872 11051763744