Search a number
-
+
420485152725 = 35521129613557
BaseRepresentation
bin1100001111001101101…
…11100011111111010101
31111012100022222221200000
412013212313203333111
523342123144341400
6521100200041513
742244004553231
oct6074667437725
91435308887600
10420485152725
111523659a7890
12695ab763299
13308616a00a1
14164cca975c1
15ae10048600
hex61e6de3fd5

420485152725 has 288 divisors, whose sum is σ = 896113895040. Its totient is φ = 193560192000.

The previous prime is 420485152721. The next prime is 420485152729. The reversal of 420485152725 is 527251584024.

420485152725 is a `hidden beast` number, since 4 + 20 + 4 + 85 + 1 + 527 + 25 = 666.

It is an interprime number because it is at equal distance from previous prime (420485152721) and next prime (420485152729).

It is not a de Polignac number, because 420485152725 - 22 = 420485152721 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420485152721) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 118211647 + ... + 118215203.

It is an arithmetic number, because the mean of its divisors is an integer number (3111506580).

Almost surely, 2420485152725 is an apocalyptic number.

420485152725 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

420485152725 is an abundant number, since it is smaller than the sum of its proper divisors (475628742315).

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

420485152725 is a wasteful number, since it uses less digits than its factorization.

420485152725 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3683 (or 3666 counting only the distinct ones).

The product of its (nonzero) digits is 896000, while the sum is 45.

The spelling of 420485152725 in words is "four hundred twenty billion, four hundred eighty-five million, one hundred fifty-two thousand, seven hundred twenty-five".