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11763116880 = 2435291690103
BaseRepresentation
bin10101111010010001…
…01110101101010000
31010100210101020210120
422331020232231100
5143042324220010
65223124230240
7564333562254
oct127510565520
933323336716
1011763116880
114a96a778a9
12234353b380
1311560655b8
147d8398264
1548ca7ce70
hex2bd22eb50

11763116880 has 80 divisors (see below), whose sum is σ = 37723121280. Its totient is φ = 3028662784.

The previous prime is 11763116861. The next prime is 11763116921. The reversal of 11763116880 is 8861136711.

It is a happy number.

11763116880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 838092 + ... + 852011.

It is an arithmetic number, because the mean of its divisors is an integer number (471539016).

Almost surely, 211763116880 is an apocalyptic number.

11763116880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11763116880 is an abundant number, since it is smaller than the sum of its proper divisors (25960004400).

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

11763116880 is a wasteful number, since it uses less digits than its factorization.

11763116880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1690148 (or 1690142 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 42.

The spelling of 11763116880 in words is "eleven billion, seven hundred sixty-three million, one hundred sixteen thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 40 48 58 60 80 87 116 120 145 174 232 240 290 348 435 464 580 696 870 1160 1392 1740 2320 3480 6960 1690103 3380206 5070309 6760412 8450515 10140618 13520824 16901030 20281236 25351545 27041648 33802060 40562472 49012987 50703090 67604120 81124944 98025974 101406180 135208240 147038961 196051948 202812360 245064935 294077922 392103896 405624720 490129870 588155844 735194805 784207792 980259740 1176311688 1470389610 1960519480 2352623376 2940779220 3921038960 5881558440 11763116880