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425410913136 = 243111373586819
BaseRepresentation
bin1100011000011000111…
…01110110001101110000
31111200001121200111122210
412030030131312031300
523432220143210021
6523233040132120
742510036045606
oct6141435661560
91450047614583
10425410913136
11154463408560
126a545307040
1331168037511
1416838d51876
15b0ec6d7e76
hex630c776370

425410913136 has 80 divisors (see below), whose sum is σ = 1199760531840. Its totient is φ = 128818287360.

The previous prime is 425410913131. The next prime is 425410913141. The reversal of 425410913136 is 631319014524.

It is an interprime number because it is at equal distance from previous prime (425410913131) and next prime (425410913141).

It is a junction number, because it is equal to n+sod(n) for n = 425410913094 and 425410913103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (425410913131) 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 15 ways as a sum of consecutive naturals, for example, 431535 + ... + 1018353.

It is an arithmetic number, because the mean of its divisors is an integer number (14997006648).

Almost surely, 2425410913136 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 425410913136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599880265920).

425410913136 is an abundant number, since it is smaller than the sum of its proper divisors (774349618704).

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

425410913136 is a wasteful number, since it uses less digits than its factorization.

425410913136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588214 (or 588208 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The spelling of 425410913136 in words is "four hundred twenty-five billion, four hundred ten million, nine hundred thirteen thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 1373 2746 4119 5492 8238 10984 15103 16476 21968 30206 32952 45309 60412 65904 90618 120824 181236 241648 362472 586819 724944 1173638 1760457 2347276 3520914 4694552 6455009 7041828 9389104 12910018 14083656 19365027 25820036 28167312 38730054 51640072 77460108 103280144 154920216 309840432 805702487 1611404974 2417107461 3222809948 4834214922 6445619896 8862727357 9668429844 12891239792 17725454714 19336859688 26588182071 35450909428 38673719376 53176364142 70901818856 106352728284 141803637712 212705456568 425410913136