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994792920480 = 25345157488909
BaseRepresentation
bin11100111100111100100…
…01110101010110100000
310112002201211101101020000
432132132101311112200
5112244313441423410
62041000200420000
7131604616210122
oct16363621652640
93462654341200
10994792920480
1135398673aa97
1214096a177600
1372a685744b8
1436210a7d212
151ad24557dc0
hexe79e4755a0

994792920480 has 240 divisors, whose sum is σ = 3533158961640. Its totient is φ = 263587903488.

The previous prime is 994792920469. The next prime is 994792920481. The reversal of 994792920480 is 84029297499.

994792920480 is a `hidden beast` number, since 9 + 9 + 47 + 92 + 9 + 20 + 480 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 728994931344 + 265797989136 = 853812^2 + 515556^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×9947929204802 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (994792920481) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1790266 + ... + 2279174.

Almost surely, 2994792920480 is an apocalyptic number.

994792920480 is a gapful number since it is divisible by the number (90) 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 994792920480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1766579480820).

994792920480 is an abundant number, since it is smaller than the sum of its proper divisors (2538366041160).

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

994792920480 is a wasteful number, since it uses less digits than its factorization.

994792920480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489093 (or 489076 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 63.

The spelling of 994792920480 in words is "nine hundred ninety-four billion, seven hundred ninety-two million, nine hundred twenty thousand, four hundred eighty".