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425541431628 = 223341215312
BaseRepresentation
bin1100011000101000011…
…11101111000101001100
31111200101201021112101000
412030110033233011030
523433002101303003
6523254021420300
742513212326155
oct6142417570514
91450351245330
10425541431628
11154520053a85
126a580b6a690
13311890a4cb1
141684c40892c
15b108dba1a3
hex63143ef14c

425541431628 has 108 divisors (see below), whose sum is σ = 1131559642920. Its totient is φ = 138297067200.

The previous prime is 425541431621. The next prime is 425541431629. The reversal of 425541431628 is 826134145524.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

425541431628 is a `hidden beast` number, since 4 + 2 + 5 + 5 + 4 + 14 + 3 + 1 + 628 = 666.

It is a tau number, because it is divible by the number of its divisors (108).

It is not an unprimeable number, because it can be changed into a prime (425541431621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 277949223 + ... + 277950753.

Almost surely, 2425541431628 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 425541431628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565779821460).

425541431628 is an abundant number, since it is smaller than the sum of its proper divisors (706018211292).

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

425541431628 is an equidigital number, since it uses as much as digits as its factorization.

425541431628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3157 (or 1577 counting only the distinct ones).

The product of its digits is 921600, while the sum is 45.

The spelling of 425541431628 in words is "four hundred twenty-five billion, five hundred forty-one million, four hundred thirty-one thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 82 108 123 164 246 369 492 738 1107 1476 1531 1681 2214 3062 3362 4428 4593 5043 6124 6724 9186 10086 13779 15129 18372 20172 27558 30258 41337 45387 55116 60516 62771 82674 90774 125542 165348 181548 188313 251084 376626 564939 753252 1129878 1694817 2259756 2343961 2573611 3389634 4687922 5147222 6779268 7031883 7720833 9375844 10294444 14063766 15441666 21095649 23162499 28127532 30883332 42191298 46324998 63286947 69487497 84382596 92649996 96102401 126573894 138974994 192204802 253147788 277949988 288307203 384409604 576614406 864921609 1153228812 1729843218 2594764827 3459686436 3940198441 5189529654 7880396882 10379059308 11820595323 15760793764 23641190646 35461785969 47282381292 70923571938 106385357907 141847143876 212770715814 425541431628