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11293920121840 = 245302417466819
BaseRepresentation
bin1010010001011001001000…
…0110001101001111110000
31110222200120201012220010221
42210112102012031033300
52440014422022344330
640004204423502424
72243646604042456
oct244262206151760
943880521186127
1011293920121840
1136647a7527814
121324a06bb7a14
1363c02076a105
142b08b30349d6
15148baa202b7a
hexa459218d3f0

11293920121840 has 40 divisors (see below), whose sum is σ = 26258507361360. Its totient is φ = 4517543433216.

The previous prime is 11293920121817. The next prime is 11293920121843. The reversal of 11293920121840 is 4812102939211.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11293920121843) 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 7 ways as a sum of consecutive naturals, for example, 23959951 + ... + 24426769.

It is an arithmetic number, because the mean of its divisors is an integer number (656462684034).

Almost surely, 211293920121840 is an apocalyptic number.

11293920121840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11293920121840 is an abundant number, since it is smaller than the sum of its proper divisors (14964587239520).

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

11293920121840 is a wasteful number, since it uses less digits than its factorization.

11293920121840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769249 (or 769243 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 43.

The spelling of 11293920121840 in words is "eleven trillion, two hundred ninety-three billion, nine hundred twenty million, one hundred twenty-one thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 302417 466819 604834 933638 1209668 1512085 1867276 2334095 2419336 3024170 3734552 4668190 4838672 6048340 7469104 9336380 12096680 18672760 24193360 37345520 141174001523 282348003046 564696006092 705870007615 1129392012184 1411740015230 2258784024368 2823480030460 5646960060920 11293920121840