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505212043424 = 25112373526441
BaseRepresentation
bin1110101101000001111…
…11000000000010100000
31210022001002120221200212
413112200333000002200
531234133240342144
61024031411233252
751333424341254
oct7264077000240
91708032527625
10505212043424
11185294033900
1281ab65a8828
1338844bbc63a
141a649520264
15d21d4c249e
hex75a0fc00a0

505212043424 has 72 divisors (see below), whose sum is σ = 1122826185684. Its totient is φ = 223435238400.

The previous prime is 505212043423. The next prime is 505212043447. The reversal of 505212043424 is 424340212505.

It can be written as a sum of positive squares in 2 ways, for example, as 360456144400 + 144755899024 = 600380^2 + 380468^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (505212043423) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1619957 + ... + 1906484.

Almost surely, 2505212043424 is an apocalyptic number.

It is an amenable number.

505212043424 is an abundant number, since it is smaller than the sum of its proper divisors (617614142260).

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

505212043424 is a wasteful number, since it uses less digits than its factorization.

505212043424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3526510 (or 3526491 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 32.

Adding to 505212043424 its reverse (424340212505), we get a palindrome (929552255929).

The spelling of 505212043424 in words is "five hundred five billion, two hundred twelve million, forty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 32 37 44 74 88 121 148 176 242 296 352 407 484 592 814 968 1184 1628 1936 3256 3872 4477 6512 8954 13024 17908 35816 71632 143264 3526441 7052882 14105764 28211528 38790851 56423056 77581702 112846112 130478317 155163404 260956634 310326808 426699361 521913268 620653616 853398722 1043826536 1241307232 1435261487 1706797444 2087653072 2870522974 3413594888 4175306144 5741045948 6827189776 11482091896 13654379552 15787876357 22964183792 31575752714 45928367584 63151505428 126303010856 252606021712 505212043424