Search a number
-
+
6619441920 = 283571319997
BaseRepresentation
bin1100010101000110…
…01010101100000000
3122002022122111020120
412022203022230000
5102024034120140
63012501340240
7323015220330
oct61243125400
918068574216
106619441920
112897558763
121348a07680
13816510a50
1446b1b70c0
1528b1e61d0
hex18a8cab00

6619441920 has 576 divisors, whose sum is σ = 27416417280. Its totient is φ = 1321795584.

The previous prime is 6619441919. The next prime is 6619441949. The reversal of 6619441920 is 291449166.

It is a super-2 number, since 2×66194419202 = 87634022664506572800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6638862 + ... + 6639858.

Almost surely, 26619441920 is an apocalyptic number.

6619441920 is a gapful number since it is divisible by the number (60) 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 6619441920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13708208640).

6619441920 is an abundant number, since it is smaller than the sum of its proper divisors (20796975360).

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

6619441920 is a wasteful number, since it uses less digits than its factorization.

6619441920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1060 (or 1046 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 6619441920 is about 81359.9528023462. The cubic root of 6619441920 is about 1877.6175040805.

The spelling of 6619441920 in words is "six billion, six hundred nineteen million, four hundred forty-one thousand, nine hundred twenty".