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11451122104644 = 2232378596938517
BaseRepresentation
bin1010011010100010110000…
…0100001011100101000100
31111112201100101111001010100
42212220230010023211010
53000103344224322034
640204323423524100
72261213323616235
oct246505404134504
944481311431110
1011451122104644
113715436997172
12134b379759630
13650ab4122151
142b83470bd08c
1514cd0b1e8099
hexa6a2c10b944

11451122104644 has 36 divisors (see below), whose sum is σ = 29728213395244. Its totient is φ = 3713877438912.

The previous prime is 11451122104637. The next prime is 11451122104663. The reversal of 11451122104644 is 44640122115411.

11451122104644 is a `hidden beast` number, since 1 + 1 + 4 + 5 + 1 + 1 + 2 + 2 + 1 + 0 + 4 + 644 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7185401913600 + 4265720191044 = 2680560^2 + 2065362^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×114511221046442 (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 a junction number, because it is equal to n+sod(n) for n = 11451122104599 and 11451122104608.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4298467927 + ... + 4298470590.

Almost surely, 211451122104644 is an apocalyptic number.

It is an amenable number.

11451122104644 is an abundant number, since it is smaller than the sum of its proper divisors (18277091290600).

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

11451122104644 is a wasteful number, since it uses less digits than its factorization.

11451122104644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8596938564 (or 8596938559 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 11451122104644 in words is "eleven trillion, four hundred fifty-one billion, one hundred twenty-two million, one hundred four thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 8596938517 17193877034 25790815551 34387754068 51581631102 77372446653 103163262204 154744893306 309489786612 318086725129 636173450258 954260175387 1272346900516 1908520350774 2862780526161 3817040701548 5725561052322 11451122104644