Search a number
-
+
630427069440 = 21038572383
BaseRepresentation
bin10010010110010000110…
…00011010110000000000
32020021020112202100000000
421023020120122300000
540312103312210230
61201340400000000
763355366450200
oct11131030326000
92207215670000
10630427069440
112233a9711183
12a2220900000
13475ab650ccc
14227272dc400
15115eb205b60
hex92c861ac00

630427069440 has 1188 divisors, whose sum is σ = 2645540441856. Its totient is φ = 143721381888.

The previous prime is 630427069439. The next prime is 630427069457. The reversal of 630427069440 is 44960724036.

It is a happy number.

630427069440 is a `hidden beast` number, since 630 + 4 + 2 + 7 + 0 + 6 + 9 + 4 + 4 + 0 = 666.

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 (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1646023489 + ... + 1646023871.

Almost surely, 2630427069440 is an apocalyptic number.

630427069440 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 630427069440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1322770220928).

630427069440 is an abundant number, since it is smaller than the sum of its proper divisors (2015113372416).

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

630427069440 is an frugal number, since it uses more digits than its factorization.

630427069440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 630427069440 in words is "six hundred thirty billion, four hundred twenty-seven million, sixty-nine thousand, four hundred forty".