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11531978684144 = 2441129713553767
BaseRepresentation
bin1010011111001111111101…
…1111100011011011110000
31111211110001102101212021222
42213303333133203123300
53002414443020343034
640305415021004212
72300105116324202
oct247637737433360
944743042355258
1011531978684144
113746759369096
121362b843b3668
136585cb859c29
142bc217910772
1514ee8e9b812e
hexa7cff7e36f0

11531978684144 has 40 divisors (see below), whose sum is σ = 22905813704928. Its totient is φ = 5621017835520.

The previous prime is 11531978684101. The next prime is 11531978684159. The reversal of 11531978684144 is 44148687913511.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5926052 + ... + 7627715.

Almost surely, 211531978684144 is an apocalyptic number.

It is an amenable number.

11531978684144 is a deficient number, since it is larger than the sum of its proper divisors (11373835020784).

11531978684144 is a wasteful number, since it uses less digits than its factorization.

11531978684144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13555113 (or 13555107 counting only the distinct ones).

The product of its digits is 23224320, while the sum is 62.

The spelling of 11531978684144 in words is "eleven trillion, five hundred thirty-one billion, nine hundred seventy-eight million, six hundred eighty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 41 82 164 328 656 1297 2594 5188 10376 20752 53177 106354 212708 425416 850832 13553767 27107534 54215068 108430136 216860272 555704447 1111408894 2222817788 4445635576 8891271152 17579235799 35158471598 70316943196 140633886392 281267772784 720748667759 1441497335518 2882994671036 5765989342072 11531978684144