Search a number
-
+
689405446080 = 26335139763277
BaseRepresentation
bin10100000100000111100…
…01000100011111000000
32102220110211222021222000
422002003301010133000
542243400243233310
61244413011144000
7100544052414141
oct12020361043700
92386424867860
10689405446080
1124641444650a
12b17405a5000
135001a53ca20
1425520215ac8
1512dede054c0
hexa083c447c0

689405446080 has 448 divisors, whose sum is σ = 2646194839680. Its totient is φ = 167947665408.

The previous prime is 689405446069. The next prime is 689405446091. The reversal of 689405446080 is 80644504986.

689405446080 is a `hidden beast` number, since 6 + 8 + 94 + 0 + 544 + 6 + 0 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (689405446069) and next prime (689405446091).

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 63 ways as a sum of consecutive naturals, for example, 10863402 + ... + 10926678.

It is an arithmetic number, because the mean of its divisors is an integer number (5906684910).

Almost surely, 2689405446080 is an apocalyptic number.

689405446080 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 689405446080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1323097419840).

689405446080 is an abundant number, since it is smaller than the sum of its proper divisors (1956789393600).

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

689405446080 is a wasteful number, since it uses less digits than its factorization.

689405446080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63413 (or 63397 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 689405446080 in words is "six hundred eighty-nine billion, four hundred five million, four hundred forty-six thousand, eighty".