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1938118656 = 2113315449
BaseRepresentation
bin111001110000101…
…0101100000000000
312000001220121222110
41303201111200000
512432124244111
6520152335320
766012510465
oct16341254000
95001817873
101938118656
11905021261
124610a4540
1324b6bbc96
1414558b66c
15b523c5a6
hex73855800

1938118656 has 48 divisors (see below), whose sum is σ = 5167071000. Its totient is φ = 646037504.

The previous prime is 1938118631. The next prime is 1938118687. The reversal of 1938118656 is 6568118391.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 151581 + ... + 163868.

Almost surely, 21938118656 is an apocalyptic number.

1938118656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1938118656 is an abundant number, since it is smaller than the sum of its proper divisors (3228952344).

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

1938118656 is an equidigital number, since it uses as much as digits as its factorization.

1938118656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315474 (or 315454 counting only the distinct ones).

The product of its digits is 311040, while the sum is 48.

The square root of 1938118656 is about 44024.0690531895. The cubic root of 1938118656 is about 1246.7904125054.

The spelling of 1938118656 in words is "one billion, nine hundred thirty-eight million, one hundred eighteen thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 2048 3072 6144 315449 630898 946347 1261796 1892694 2523592 3785388 5047184 7570776 10094368 15141552 20188736 30283104 40377472 60566208 80754944 121132416 161509888 242264832 323019776 484529664 646039552 969059328 1938118656