Search a number
-
+
425445415452 = 2232472053122477
BaseRepresentation
bin1100011000011101000…
…01011101101000011100
31111200011000121101221100
412030032201131220130
523432303011243302
6523240311433100
742510635235501
oct6141641355034
91450130541840
10425445415452
11154480933672
126a554985790
13311722278a5
141683d7734a8
15b100750d1c
hex630e85da1c

425445415452 has 72 divisors (see below), whose sum is σ = 1098856938816. Its totient is φ = 138729055104.

The previous prime is 425445415261. The next prime is 425445415459. The reversal of 425445415452 is 254514544524.

425445415452 is a `hidden beast` number, since 4 + 2 + 5 + 4 + 4 + 541 + 54 + 52 = 666.

It is a super-3 number, since 3×4254454154523 (a number of 36 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 425445415398 and 425445415407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (425445415459) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3412438 + ... + 3534914.

It is an arithmetic number, because the mean of its divisors is an integer number (15261901928).

Almost surely, 2425445415452 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 425445415452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549428469408).

425445415452 is an abundant number, since it is smaller than the sum of its proper divisors (673411523364).

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

425445415452 is a wasteful number, since it uses less digits than its factorization.

425445415452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124587 (or 124582 counting only the distinct ones).

The product of its digits is 2560000, while the sum is 45.

Adding to 425445415452 its reverse (254514544524), we get a palindrome (679959959976).

The spelling of 425445415452 in words is "four hundred twenty-five billion, four hundred forty-five million, four hundred fifteen thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 47 94 141 188 282 423 564 846 1692 2053 4106 6159 8212 12318 18477 24636 36954 73908 96491 122477 192982 244954 289473 367431 385964 489908 578946 734862 868419 1102293 1157892 1469724 1736838 2204586 3473676 4409172 5756419 11512838 17269257 23025676 34538514 51807771 69077028 103615542 207231084 251445281 502890562 754335843 1005781124 1508671686 2263007529 3017343372 4526015058 9052030116 11817928207 23635856414 35453784621 47271712828 70907569242 106361353863 141815138484 212722707726 425445415452