Search a number
-
+
425352020253524 = 2271319312101633649
BaseRepresentation
bin110000010110110101111110…
…0000100100101101101010100
32001210001020220122001110102022
41200231223330010211231110
5421222431414141103044
64104352004233232312
7155410445404342550
oct14055537404455524
92053036818043368
10425352020253524
1111359186258a951
123b8580a2b62698
13153456a5bb0340
14770720d12c860
1534295aec9d3ee
hex182dafc125b54

425352020253524 has 288 divisors, whose sum is σ = 1006340422752000. Its totient is φ = 152744652288000.

The previous prime is 425352020253521. The next prime is 425352020253527.

425352020253524 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (425352020253521) and next prime (425352020253527).

It is a super-2 number, since 2×4253520202535242 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (425352020253521) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 670957052 + ... + 671590700.

It is an arithmetic number, because the mean of its divisors is an integer number (3494237579000).

Almost surely, 2425352020253524 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 425352020253524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503170211376000).

425352020253524 is an abundant number, since it is smaller than the sum of its proper divisors (580988402498476).

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

425352020253524 is a wasteful number, since it uses less digits than its factorization.

425352020253524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 633855 (or 633822 counting only the distinct ones).

The product of its (nonzero) digits is 2880000, while the sum is 44.

The spelling of 425352020253524 in words is "four hundred twenty-five trillion, three hundred fifty-two billion, twenty million, two hundred fifty-three thousand, five hundred twenty-four".