Search a number
-
+
1918936656 = 243471353307
BaseRepresentation
bin111001001100000…
…1010011001010000
311221201211002020000
41302120022121100
512412221433111
6514225250000
765360456340
oct16230123120
94851732200
101918936656
118a520a56a
12456793900
13247733ca0
14142bd6d20
15b36edc56
hex7260a650

1918936656 has 400 divisors, whose sum is σ = 6987302784. Its totient is φ = 494926848.

The previous prime is 1918936639. The next prime is 1918936681. The reversal of 1918936656 is 6566398191.

It is a super-3 number, since 3×19189366563 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6250455 + ... + 6250761.

Almost surely, 21918936656 is an apocalyptic number.

1918936656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1918936656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3493651392).

1918936656 is an abundant number, since it is smaller than the sum of its proper divisors (5068366128).

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

1918936656 is a wasteful number, since it uses less digits than its factorization.

1918936656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 385 counting only the distinct ones).

The product of its digits is 2099520, while the sum is 54.

The square root of 1918936656 is about 43805.6692221452. The cubic root of 1918936656 is about 1242.6635116047.

The spelling of 1918936656 in words is "one billion, nine hundred eighteen million, nine hundred thirty-six thousand, six hundred fifty-six".