Search a number
-
+
669404736000 = 2935537111343
BaseRepresentation
bin10011011110110111010…
…00011010101000000000
32100222211222002221200000
421233123220122220000
541431420103023000
61231304214400000
766235321242060
oct11573350325000
92328758087600
10669404736000
11238990581a50
12a989a360000
134b180976b30
1424583bc73a0
151262d099000
hex9bdba1aa00

669404736000 has 3840 divisors, whose sum is σ = 3435212132352. Its totient is φ = 125411328000.

The previous prime is 669404735959. The next prime is 669404736023. The reversal of 669404736000 is 637404966.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 15567551979 + ... + 15567552021.

Almost surely, 2669404736000 is an apocalyptic number.

669404736000 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 669404736000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1717606066176).

669404736000 is an abundant number, since it is smaller than the sum of its proper divisors (2765807396352).

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

669404736000 is a wasteful number, since it uses less digits than its factorization.

669404736000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 669404736000 in words is "six hundred sixty-nine billion, four hundred four million, seven hundred thirty-six thousand".