Search a number
-
+
631333076080 = 24574347607919
BaseRepresentation
bin10010010111111100110…
…00100011110001110000
32020100120200120020110111
421023332120203301300
540320432231413310
61202010322511104
763420010414030
oct11137630436160
92210520506414
10631333076080
112238240763a3
12a2434205494
13476c426b705
14227b177d8c0
1511650a1c28a
hex92fe623c70

631333076080 has 320 divisors, whose sum is σ = 1757876060160. Its totient is φ = 206359114752.

The previous prime is 631333076051. The next prime is 631333076081. The reversal of 631333076080 is 80670333136.

631333076080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (631333076081) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 686977861 + ... + 686978779.

It is an arithmetic number, because the mean of its divisors is an integer number (5493362688).

Almost surely, 2631333076080 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 631333076080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (878938030080).

631333076080 is an abundant number, since it is smaller than the sum of its proper divisors (1126542984080).

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

631333076080 is a wasteful number, since it uses less digits than its factorization.

631333076080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1636 (or 1630 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 40.

The spelling of 631333076080 in words is "six hundred thirty-one billion, three hundred thirty-three million, seventy-six thousand, eighty".