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425516000256 = 2103246171441
BaseRepresentation
bin1100011000100101011…
…10101110010000000000
31111200022221102111002100
412030102232232100000
523432424044002011
6523251312350400
742512453216214
oct6142256562000
91450287374070
10425516000256
11154507764016
126a574545400
1331183a3c649
1416848ca8944
15b106a44d56
hex6312bae400

425516000256 has 66 divisors (see below), whose sum is σ = 1228668243062. Its totient is φ = 141838663680.

The previous prime is 425516000213. The next prime is 425516000257. The reversal of 425516000256 is 652000615524.

425516000256 is a `hidden beast` number, since 4 + 25 + 5 + 1 + 600 + 0 + 25 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 299007737856 + 126508262400 = 546816^2 + 355680^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 425516000256.

It is not an unprimeable number, because it can be changed into a prime (425516000257) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 23076505 + ... + 23094936.

Almost surely, 2425516000256 is an apocalyptic number.

It is an amenable number.

425516000256 is an abundant number, since it is smaller than the sum of its proper divisors (803152242806).

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

425516000256 is a wasteful number, since it uses less digits than its factorization.

425516000256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46171467 (or 46171446 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 425516000256 in words is "four hundred twenty-five billion, five hundred sixteen million, two hundred fifty-six", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2304 3072 4608 9216 46171441 92342882 138514323 184685764 277028646 369371528 415542969 554057292 738743056 831085938 1108114584 1477486112 1662171876 2216229168 2954972224 3324343752 4432458336 5909944448 6648687504 8864916672 11819888896 13297375008 17729833344 23639777792 26594750016 35459666688 47279555584 53189500032 70919333376 106379000064 141838666752 212758000128 425516000256