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11938454820 = 2232566324749
BaseRepresentation
bin10110001111001011…
…00101110100100100
31010211000022100020100
423013211211310210
5143422221023240
65252350304100
7601563122505
oct130745456444
933730270210
1011938454820
115076a45896
1223921b8030
131183496466
1481379abac
1549d164e30
hex2c7965d24

11938454820 has 36 divisors (see below), whose sum is σ = 36213313500. Its totient is φ = 3183587904.

The previous prime is 11938454807. The next prime is 11938454839. The reversal of 11938454820 is 2845483911.

11938454820 is a `hidden beast` number, since 1 + 1 + 9 + 3 + 84 + 548 + 20 = 666.

11938454820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 8400822336 + 3537632484 = 91656^2 + 59478^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33162195 + ... + 33162554.

It is an arithmetic number, because the mean of its divisors is an integer number (1005925375).

Almost surely, 211938454820 is an apocalyptic number.

11938454820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11938454820 is an abundant number, since it is smaller than the sum of its proper divisors (24274858680).

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

11938454820 is a wasteful number, since it uses less digits than its factorization.

11938454820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66324764 (or 66324759 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 11938454820 in words is "eleven billion, nine hundred thirty-eight million, four hundred fifty-four thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 66324749 132649498 198974247 265298996 331623745 397948494 596922741 663247490 795896988 994871235 1193845482 1326494980 1989742470 2387690964 2984613705 3979484940 5969227410 11938454820