Search a number
-
+
430891774164 = 223233529356981
BaseRepresentation
bin1100100010100110010…
…01101011000011010100
31112012012120220002112200
412101103021223003110
524024431243233124
6525540550044500
743062620435355
oct6212311530324
91465176802480
10430891774164
1115681619a575
126b614949730
133182c6a9957
1416bd8c25d2c
15b31d976bc9
hex645326b0d4

430891774164 has 36 divisors (see below), whose sum is σ = 1089234187860. Its totient is φ = 143625905280.

The previous prime is 430891774163. The next prime is 430891774169. The reversal of 430891774164 is 461477198034.

It is a happy number.

430891774164 is a `hidden beast` number, since 4 + 308 + 9 + 177 + 4 + 164 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 211204584900 + 219687189264 = 459570^2 + 468708^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a self number, because there is not a number n which added to its sum of digits gives 430891774164.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (430891774163) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1028554 + ... + 1385534.

Almost surely, 2430891774164 is an apocalyptic number.

It is an amenable number.

430891774164 is an abundant number, since it is smaller than the sum of its proper divisors (658342413696).

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

430891774164 is a wasteful number, since it uses less digits than its factorization.

430891774164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390520 (or 390515 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 430891774164 in words is "four hundred thirty billion, eight hundred ninety-one million, seven hundred seventy-four thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 33529 67058 100587 134116 201174 301761 356981 402348 603522 713962 1070943 1207044 1427924 2141886 3212829 4283772 6425658 12851316 11969215949 23938431898 35907647847 47876863796 71815295694 107722943541 143630591388 215445887082 430891774164