Search a number
-
+
10035018048 = 2631137281457
BaseRepresentation
bin10010101100010001…
…00011100101000000
3221220100122201212010
421112020203211000
5131022431034143
64335433132520
7503451150246
oct112610434500
927810581763
1010035018048
11428a562650
121b4085a140
13c3c02b503
146b2a7a796
153daec8a33
hex256223940

10035018048 has 224 divisors, whose sum is σ = 29918729088. Its totient is φ = 2941747200.

The previous prime is 10035018047. The next prime is 10035018061. The reversal of 10035018048 is 84081053001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10035018047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21958236 + ... + 21958692.

Almost surely, 210035018048 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 10035018048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14959364544).

10035018048 is an abundant number, since it is smaller than the sum of its proper divisors (19883711040).

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

10035018048 is a wasteful number, since it uses less digits than its factorization.

10035018048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 801 (or 791 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The spelling of 10035018048 in words is "ten billion, thirty-five million, eighteen thousand, forty-eight".