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11152222045416 = 2332154891972853
BaseRepresentation
bin1010001001001001010000…
…1110111100010011101000
31110111010211112021210110100
42202102110032330103220
52430204222320423131
635415132102145400
72230502313212154
oct242222416742350
943433745253410
1011152222045416
11360a6a3674731
121301460722260
1362b85b15328a
142a7ab00a2064
151451653ac7e6
hexa24943bc4e8

11152222045416 has 24 divisors (see below), whose sum is σ = 30203934706530. Its totient is φ = 3717407348448.

The previous prime is 11152222045357. The next prime is 11152222045417. The reversal of 11152222045416 is 61454022225111.

11152222045416 is a `hidden beast` number, since 1 + 1 + 15 + 2 + 2 + 220 + 4 + 5 + 416 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7945937873316 + 3206284172100 = 2818854^2 + 1790610^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×111522220454162 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (11152222045417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 77445986355 + ... + 77445986498.

Almost surely, 211152222045416 is an apocalyptic number.

It is an amenable number.

11152222045416 is an abundant number, since it is smaller than the sum of its proper divisors (19051712661114).

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

11152222045416 is a wasteful number, since it uses less digits than its factorization.

11152222045416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154891972865 (or 154891972858 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 11152222045416 in words is "eleven trillion, one hundred fifty-two billion, two hundred twenty-two million, forty-five thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 154891972853 309783945706 464675918559 619567891412 929351837118 1239135782824 1394027755677 1858703674236 2788055511354 3717407348472 5576111022708 11152222045416