Search a number
-
+
2553939183744 = 273213219690427
BaseRepresentation
bin100101001010100010101…
…000110100100010000000
3100001011011102011000001200
4211022202220310202000
5313320431412334434
65233132524101200
7352341664610034
oct45124250644200
910034142130050
102553939183744
118a51350a7393
12352b79094800
13156ab259bc00
148b87b6461c4
1546679216199
hex252a2a34880

2553939183744 has 288 divisors, whose sum is σ = 8376893881200. Its totient is φ = 744467023872.

The previous prime is 2553939183737. The next prime is 2553939183769. The reversal of 2553939183744 is 4473819393552.

2553939183744 is a `hidden beast` number, since 2 + 5 + 539 + 3 + 91 + 8 + 3 + 7 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3353859 + ... + 4044285.

Almost surely, 22553939183744 is an apocalyptic number.

2553939183744 is a gapful number since it is divisible by the number (24) 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 2553939183744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4188446940600).

2553939183744 is an abundant number, since it is smaller than the sum of its proper divisors (5822954697456).

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

2553939183744 is a wasteful number, since it uses less digits than its factorization.

2553939183744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690492 (or 690464 counting only the distinct ones).

The product of its digits is 97977600, while the sum is 63.

The spelling of 2553939183744 in words is "two trillion, five hundred fifty-three billion, nine hundred thirty-nine million, one hundred eighty-three thousand, seven hundred forty-four".