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11664060025632 = 2537163106486087
BaseRepresentation
bin1010100110111100000000…
…1001111000101100100000
31112022001222101202012200120
42221233000021320230200
53012100443331310012
640450221210320240
72312462165234430
oct251570011705440
945261871665616
1011664060025632
113797777891953
1213846a6129080
13667bba9b8971
142c47875aa2c0
1515362040a58c
hexa9bc0278b20

11664060025632 has 96 divisors (see below), whose sum is σ = 35206856358912. Its totient is φ = 3312143218944.

The previous prime is 11664060025603. The next prime is 11664060025663. The reversal of 11664060025632 is 23652006046611.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53133508 + ... + 53352579.

It is an arithmetic number, because the mean of its divisors is an integer number (366738087072).

Almost surely, 211664060025632 is an apocalyptic number.

11664060025632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11664060025632 is an abundant number, since it is smaller than the sum of its proper divisors (23542796333280).

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

11664060025632 is a wasteful number, since it uses less digits than its factorization.

11664060025632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106486270 (or 106486262 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The spelling of 11664060025632 in words is "eleven trillion, six hundred sixty-four billion, sixty million, twenty-five thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 163 168 224 326 336 489 652 672 978 1141 1304 1956 2282 2608 3423 3912 4564 5216 6846 7824 9128 13692 15648 18256 27384 36512 54768 109536 106486087 212972174 319458261 425944348 638916522 745402609 851888696 1277833044 1490805218 1703777392 2236207827 2555666088 2981610436 3407554784 4472415654 5111332176 5963220872 8944831308 10222664352 11926441744 17357232181 17889662616 23852883488 34714464362 35779325232 52071696543 69428928724 71558650464 104143393086 121500625267 138857857448 208286786172 243001250534 277715714896 364501875801 416573572344 486002501068 555431429792 729003751602 833147144688 972005002136 1458007503204 1666294289376 1944010004272 2916015006408 3888020008544 5832030012816 11664060025632