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425440628874 = 2321931343311689
BaseRepresentation
bin1100011000011100011…
…11001101000010001010
31111200010200121012222200
412030032033031002022
523432300300110444
6523240021101030
742510546451452
oct6141617150212
91450120535880
10425440628874
11154479164418
126a553257776
133117123ccb1
141683cc88d62
15b100107969
hex630e3cd08a

425440628874 has 96 divisors (see below), whose sum is σ = 1001980761600. Its totient is φ = 129966819840.

The previous prime is 425440628867. The next prime is 425440628887. The reversal of 425440628874 is 478826044524.

It is a happy number.

425440628874 is a `hidden beast` number, since 4 + 2 + 5 + 4 + 4 + 0 + 628 + 8 + 7 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 425440628874.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36390822 + ... + 36402510.

It is an arithmetic number, because the mean of its divisors is an integer number (10437299600).

Almost surely, 2425440628874 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 425440628874, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500990380800).

425440628874 is an abundant number, since it is smaller than the sum of its proper divisors (576540132726).

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

425440628874 is a wasteful number, since it uses less digits than its factorization.

425440628874 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15180 (or 15177 counting only the distinct ones).

The product of its (nonzero) digits is 13762560, while the sum is 54.

The spelling of 425440628874 in words is "four hundred twenty-five billion, four hundred forty million, six hundred twenty-eight thousand, eight hundred seventy-four".

Divisors: 1 2 3 6 9 18 19 31 38 57 62 93 114 171 186 279 342 558 589 1178 1767 3433 3534 5301 6866 10299 10602 11689 20598 23378 30897 35067 61794 65227 70134 105201 106423 130454 195681 210402 212846 222091 319269 362359 391362 444182 587043 638538 666273 724718 957807 1087077 1174086 1332546 1915614 1998819 2022037 2174154 3261231 3997638 4044074 6066111 6522462 6884821 12132222 13769642 18198333 20654463 36396666 40128337 41308926 61963389 80256674 120385011 123926778 240770022 361155033 722310066 762438403 1243978447 1524876806 2287315209 2487956894 3731935341 4574630418 6861945627 7463870682 11195806023 13723891254 22391612046 23635590493 47271180986 70906771479 141813542958 212720314437 425440628874