Search a number
-
+
532889280000 = 29355471189
BaseRepresentation
bin1111100000100101010…
…11010001111000000000
31212221110222012020200000
413300102223101320000
532212324123430000
61044450030400000
753333331100140
oct7602253217000
91787428166600
10532889280000
11195aa7119340
128733b660000
133b335c9c3bc
141bb13292920
15dcdd230000
hex7c12ad1e00

532889280000 has 2400 divisors, whose sum is σ = 2512706676480. Its totient is φ = 109486080000.

The previous prime is 532889279983. The next prime is 532889280017. The reversal of 532889280000 is 82988235.

It is an interprime number because it is at equal distance from previous prime (532889279983) and next prime (532889280017).

It is a tau number, because it is divible by the number of its divisors (2400).

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 239 ways as a sum of consecutive naturals, for example, 5987519956 + ... + 5987520044.

Almost surely, 2532889280000 is an apocalyptic number.

532889280000 is a gapful number since it is divisible by the number (50) 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 532889280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1256353338240).

532889280000 is an abundant number, since it is smaller than the sum of its proper divisors (1979817396480).

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

532889280000 is an frugal number, since it uses more digits than its factorization.

532889280000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 532889280000 in words is "five hundred thirty-two billion, eight hundred eighty-nine million, two hundred eighty thousand".