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11016416367296 = 264314332793481
BaseRepresentation
bin1010000001001111010110…
…0101011001001011000000
31110000011021222221112122222
42200103311211121023000
52420443110042223141
635232512151150212
72214624032044424
oct240236545311300
943004258845588
1011016416367296
11356804392970a
12129b07b675368
1361bac752c662
142a12a992cb84
151418679e814b
hexa04f59592c0

11016416367296 has 56 divisors (see below), whose sum is σ = 22384707614544. Its totient is φ = 5376353955840.

The previous prime is 11016416367293. The next prime is 11016416367373. The reversal of 11016416367296 is 69276361461011.

It is a super-2 number, since 2×110164163672962 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11016416367293) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2546876 + ... + 5340356.

Almost surely, 211016416367296 is an apocalyptic number.

11016416367296 is a gapful number since it is divisible by the number (16) 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 11016416367296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11192353807272).

11016416367296 is an abundant number, since it is smaller than the sum of its proper divisors (11368291247248).

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

11016416367296 is a wasteful number, since it uses less digits than its factorization.

11016416367296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2794969 (or 2794959 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 53.

The spelling of 11016416367296 in words is "eleven trillion, sixteen billion, four hundred sixteen million, three hundred sixty-seven thousand, two hundred ninety-six".

Divisors: 1 2 4 8 16 32 43 64 86 172 344 688 1376 1433 2752 2866 5732 11464 22928 45856 61619 91712 123238 246476 492952 985904 1971808 2793481 3943616 5586962 11173924 22347848 44695696 89391392 120119683 178782784 240239366 480478732 960957464 1921914928 3843829856 4003058273 7687659712 8006116546 16012233092 32024466184 64048932368 128097864736 172131505739 256195729472 344263011478 688526022956 1377052045912 2754104091824 5508208183648 11016416367296