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11793390480 = 243355459903
BaseRepresentation
bin10101111101111000…
…01101101110010000
31010102220100022101000
422332330031232100
5143123101443410
65230125142000
7565152110424
oct127674155620
933386308330
1011793390480
115002074903
1223516ba900
13115c404c81
147dc3d8b84
1549055cdc0
hex2bef0db90

11793390480 has 80 divisors (see below), whose sum is σ = 40621685760. Its totient is φ = 3144903552.

The previous prime is 11793390443. The next prime is 11793390491. The reversal of 11793390480 is 8409339711.

11793390480 is a `hidden beast` number, since 11 + 79 + 3 + 3 + 90 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2727792 + ... + 2732111.

It is an arithmetic number, because the mean of its divisors is an integer number (507771072).

Almost surely, 211793390480 is an apocalyptic number.

11793390480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11793390480 is an abundant number, since it is smaller than the sum of its proper divisors (28828295280).

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

11793390480 is a wasteful number, since it uses less digits than its factorization.

11793390480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5459925 (or 5459913 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 11793390480 in words is "eleven billion, seven hundred ninety-three million, three hundred ninety thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 5459903 10919806 16379709 21839612 27299515 32759418 43679224 49139127 54599030 65518836 81898545 87358448 98278254 109198060 131037672 147417381 163797090 196556508 218396120 245695635 262075344 294834762 327594180 393113016 436792240 491391270 589669524 655188360 737086905 786226032 982782540 1179339048 1310376720 1474173810 1965565080 2358678096 2948347620 3931130160 5896695240 11793390480