Search a number
-
+
5025778002 = 235745973
BaseRepresentation
bin1001010111000111…
…10100100101010010
3110222020212222100000
410223203310211102
540243044344002
62150411510430
7235354260000
oct45343644522
913866788300
105025778002
112149a14443
12b83158416
136212b5c4b
14359691a70
151e634961c
hex12b8f4952

5025778002 has 240 divisors, whose sum is σ = 13580592480. Its totient is φ = 1392261696.

The previous prime is 5025777973. The next prime is 5025778003. The reversal of 5025778002 is 2008775205.

5025778002 is a `hidden beast` number, since 5 + 0 + 2 + 577 + 80 + 0 + 2 = 666.

It is a super-2 number, since 2×50257780022 = 50516889050774224008, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (5025778003) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 68846238 + ... + 68846310.

It is an arithmetic number, because the mean of its divisors is an integer number (56585802).

Almost surely, 25025778002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5025778002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6790296240).

5025778002 is an abundant number, since it is smaller than the sum of its proper divisors (8554814478).

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

5025778002 is an frugal number, since it uses more digits than its factorization.

5025778002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 36.

The square root of 5025778002 is about 70892.7217843976. The cubic root of 5025778002 is about 1712.9095618136.

The spelling of 5025778002 in words is "five billion, twenty-five million, seven hundred seventy-eight thousand, two".