Search a number
-
+
425070082752 = 263721313111109
BaseRepresentation
bin1100010111110000010…
…01101011101011000000
31111122011212100112021020
412023320021223223000
523431020420122002
6523135143025440
742465430042200
oct6137011535300
91448155315236
10425070082752
111542a8a86657
126a46b13b280
1331112541c33
1416805990400
15b0cc8112bc
hex62f826bac0

425070082752 has 336 divisors, whose sum is σ = 1323701533440. Its totient is φ = 120025651200.

The previous prime is 425070082739. The next prime is 425070082753. The reversal of 425070082752 is 257280070524.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (425070082753) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 383290774 + ... + 383291882.

Almost surely, 2425070082752 is an apocalyptic number.

425070082752 is a gapful number since it is divisible by the number (42) 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 425070082752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661850766720).

425070082752 is an abundant number, since it is smaller than the sum of its proper divisors (898631450688).

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

425070082752 is a wasteful number, since it uses less digits than its factorization.

425070082752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1580 (or 1563 counting only the distinct ones).

The product of its (nonzero) digits is 313600, while the sum is 42.

The spelling of 425070082752 in words is "four hundred twenty-five billion, seventy million, eighty-two thousand, seven hundred fifty-two".