Search a number
-
+
2828875601448 = 23331317472139193
BaseRepresentation
bin101001001010100110001…
…000000001011000101000
3101000102211012112010111000
4221022212020001120220
5332322014123221243
610003322325435000
7411244113604041
oct51124610013050
911012735463430
102828875601448
119a07a058a306
1239830886ba60
131769b9961940
149acbdbad8c8
154d8bb3435d3
hex292a6201628

2828875601448 has 768 divisors, whose sum is σ = 9268578144000. Its totient is φ = 791898882048.

The previous prime is 2828875601423. The next prime is 2828875601459. The reversal of 2828875601448 is 8441065788282.

2828875601448 is a `hidden beast` number, since 2 + 8 + 28 + 8 + 7 + 560 + 1 + 4 + 48 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14657386440 + ... + 14657386632.

It is an arithmetic number, because the mean of its divisors is an integer number (12068461125).

Almost surely, 22828875601448 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 2828875601448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4634289072000).

2828875601448 is an abundant number, since it is smaller than the sum of its proper divisors (6439702542552).

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

2828875601448 is a wasteful number, since it uses less digits than its factorization.

2828875601448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 55050240, while the sum is 63.

The spelling of 2828875601448 in words is "two trillion, eight hundred twenty-eight billion, eight hundred seventy-five million, six hundred one thousand, four hundred forty-eight".