Search a number
-
+
4978600673280 = 21535135361241
BaseRepresentation
bin100100001110010101110…
…1110011000000000000000
3122121221122020111200202220
41020130223232120000000
51123032133233021110
614331045414411040
71022456236325403
oct110345356300000
918557566450686
104978600673280
11164a45a319683
12684a77360a80
132a1631815470
14132d736c5d3a
1589788be5370
hex4872bb98000

4978600673280 has 1024 divisors, whose sum is σ = 17840761868160. Its totient is φ = 1177760563200.

The previous prime is 4978600673269. The next prime is 4978600673317. The reversal of 4978600673280 is 823760068794.

It is a tau number, because it is divible by the number of its divisors (1024).

It is a Harshad number since it is a multiple of its sum of digits (60).

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, 20658093960 + ... + 20658094200.

Almost surely, 24978600673280 is an apocalyptic number.

4978600673280 is a gapful number since it is divisible by the number (40) 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 4978600673280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8920380934080).

4978600673280 is an abundant number, since it is smaller than the sum of its proper divisors (12862161194880).

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

4978600673280 is a wasteful number, since it uses less digits than its factorization.

4978600673280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 60.

The spelling of 4978600673280 in words is "four trillion, nine hundred seventy-eight billion, six hundred million, six hundred seventy-three thousand, two hundred eighty".