Search a number
-
+
960421473792 = 2935112131487
BaseRepresentation
bin11011111100111011001…
…01001010111000000000
310101211000102102222100000
431332131211022320000
5111213420344130132
62013113405200000
7126250065554544
oct15763545127000
93354012388300
10960421473792
1134034897a400
12136177260000
136c74b635a71
14346adc2da24
1519eb1c8587c
hexdf9d94ae00

960421473792 has 720 divisors, whose sum is σ = 3190233062016. Its totient is φ = 288222105600.

The previous prime is 960421473757. The next prime is 960421473793. The reversal of 960421473792 is 297374124069.

960421473792 is a `hidden beast` number, since 9 + 60 + 4 + 21 + 473 + 7 + 92 = 666.

960421473792 is digitally balanced in base 2 and base 4, because in such bases 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 (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (960421473793) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1972117773 + ... + 1972118259.

Almost surely, 2960421473792 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 960421473792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1595116531008).

960421473792 is an abundant number, since it is smaller than the sum of its proper divisors (2229811588224).

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

960421473792 is a wasteful number, since it uses less digits than its factorization.

960421473792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 673 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 960421473792 in words is "nine hundred sixty billion, four hundred twenty-one million, four hundred seventy-three thousand, seven hundred ninety-two".