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11551930368 = 211311170927
BaseRepresentation
bin10101100001000110…
…00111100000000000
31002211001222212100220
422300203013200000
5142124243232433
65150141543040
7556160534166
oct126043074000
932731885326
1011551930368
1149988442a0
1222a4874a80
131121392674
147b8303236
154792642b3
hex2b08c7800

11551930368 has 96 divisors (see below), whose sum is σ = 33597607680. Its totient is φ = 3500564480.

The previous prime is 11551930337. The next prime is 11551930373. The reversal of 11551930368 is 86303915511.

It is a tau number, because it is divible by the number of its divisors (96).

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 7 ways as a sum of consecutive naturals, for example, 17880 + ... + 153047.

It is an arithmetic number, because the mean of its divisors is an integer number (349975080).

Almost surely, 211551930368 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 11551930368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16798803840).

11551930368 is an abundant number, since it is smaller than the sum of its proper divisors (22045677312).

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

11551930368 is a wasteful number, since it uses less digits than its factorization.

11551930368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170963 (or 170943 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 42.

The spelling of 11551930368 in words is "eleven billion, five hundred fifty-one million, nine hundred thirty thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 512 528 704 768 1024 1056 1408 1536 2048 2112 2816 3072 4224 5632 6144 8448 11264 16896 22528 33792 67584 170927 341854 512781 683708 1025562 1367416 1880197 2051124 2734832 3760394 4102248 5469664 5640591 7520788 8204496 10939328 11281182 15041576 16408992 21878656 22562364 30083152 32817984 43757312 45124728 60166304 65635968 87514624 90249456 120332608 131271936 175029248 180498912 240665216 262543872 350058496 360997824 481330432 525087744 721995648 962660864 1050175488 1443991296 1925321728 2887982592 3850643456 5775965184 11551930368