Search a number
-
+
5237198860320 = 25335719312831039
BaseRepresentation
bin100110000110110000101…
…1000001011000000100000
3200112200010101121201011000
41030031201120023000200
51141301240402012240
615045534055152000
71050242445544020
oct114154130130040
920480111551130
105237198860320
11173a0a1250029
12707007375600
132bcb34029a9b
141416a5dd5a80
15913717ba430
hex4c36160b020

5237198860320 has 1536 divisors, whose sum is σ = 22865117184000. Its totient is φ = 1092556615680.

The previous prime is 5237198860303. The next prime is 5237198860337. The reversal of 5237198860320 is 230688917325.

5237198860320 is a `hidden beast` number, since 5 + 2 + 3 + 7 + 1 + 9 + 8 + 8 + 603 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (5237198860303) and next prime (5237198860337).

It is a super-3 number, since 3×52371988603203 (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 5040614361 + ... + 5040615399.

It is an arithmetic number, because the mean of its divisors is an integer number (14886144000).

Almost surely, 25237198860320 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 5237198860320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11432558592000).

5237198860320 is an abundant number, since it is smaller than the sum of its proper divisors (17627918323680).

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

5237198860320 is a wasteful number, since it uses less digits than its factorization.

5237198860320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1403 (or 1389 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 5237198860320 in words is "five trillion, two hundred thirty-seven billion, one hundred ninety-eight million, eight hundred sixty thousand, three hundred twenty".