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425200501476 = 223219125692
BaseRepresentation
bin1100010111111111110…
…11001100001011100100
31111122111221202111010100
412023333323030023210
523431302312021401
6523200122224100
742501602425542
oct6137773141344
91448457674110
10425200501476
11154365664123
126a4a6955030
133113357618a
141681901cd92
15b0d8ec3b86
hex62ffecc2e4

425200501476 has 81 divisors (see below), whose sum is σ = 1082371359433. Its totient is φ = 140743652160.

The previous prime is 425200501469. The next prime is 425200501477. The reversal of 425200501476 is 674105002524.

It is a happy number.

The square root of 425200501476 is 652074.

It is a perfect power (a square), and thus also a powerful number.

425200501476 is a `hidden beast` number, since 4 + 2 + 520 + 0 + 50 + 14 + 76 = 666.

It can be written as a sum of positive squares in only one way, i.e., 70079855076 + 355120646400 = 264726^2 + 595920^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 425200501476.

It is not an unprimeable number, because it can be changed into a prime (425200501477) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 747276520 + ... + 747277088.

Almost surely, 2425200501476 is an apocalyptic number.

425200501476 is the 652074-th square number.

It is an amenable number.

425200501476 is an abundant number, since it is smaller than the sum of its proper divisors (657170857957).

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

425200501476 is an equidigital number, since it uses as much as digits as its factorization.

425200501476 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1530 (or 765 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

Multiplying 425200501476 by its sum of digits (36), we get a square (15307218053136 = 39124442).

425200501476 divided by its sum of digits (36) gives a square (11811125041 = 1086792).

The spelling of 425200501476 in words is "four hundred twenty-five billion, two hundred million, five hundred one thousand, four hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 36 191 382 569 573 764 1138 1146 1707 1719 2276 2292 3414 3438 5121 6828 6876 10242 20484 36481 72962 108679 109443 145924 217358 218886 323761 326037 328329 434716 437772 647522 652074 656658 971283 978111 1295044 1304148 1313316 1942566 1956222 2913849 3885132 3912444 5827698 11655396 20757689 41515378 61838351 62273067 83030756 123676702 124546134 185515053 186819201 247353404 249092268 371030106 373638402 556545159 742060212 747276804 1113090318 2226180636 11811125041 23622250082 35433375123 47244500164 70866750246 106300125369 141733500492 212600250738 425200501476