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11006465166132 = 223917205430511
BaseRepresentation
bin1010000000101010010001…
…1100100100101100110100
31102222012121111000010221220
42200022210130210230310
52420312220040304012
635224144510310340
72214122316165222
oct240124434445464
942865544003856
1011006465166132
1135638a7714a17
121299162ab83b0
1361ab9c999947
142a0a0406db12
1514148407908c
hexa02a4724b34

11006465166132 has 12 divisors (see below), whose sum is σ = 25681752054336. Its totient is φ = 3668821722040.

The previous prime is 11006465166119. The next prime is 11006465166133. The reversal of 11006465166132 is 23166156460011.

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-2 number, since 2×110064651661322 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11006465166133) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 458602715244 + ... + 458602715267.

It is an arithmetic number, because the mean of its divisors is an integer number (2140146004528).

Almost surely, 211006465166132 is an apocalyptic number.

11006465166132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11006465166132 is an abundant number, since it is smaller than the sum of its proper divisors (14675286888204).

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

11006465166132 is a wasteful number, since it uses less digits than its factorization.

11006465166132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 917205430518 (or 917205430516 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The spelling of 11006465166132 in words is "eleven trillion, six billion, four hundred sixty-five million, one hundred sixty-six thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 917205430511 1834410861022 2751616291533 3668821722044 5503232583066 11006465166132