Search a number
-
+
80567416336 = 2411264512
BaseRepresentation
bin100101100001000110…
…0010011011000010000
321200221212210210212211
41023002030103120100
52310000224310321
6101002343201504
75551351511431
oct1130214233020
9250855723784
1080567416336
113119422a400
1213745a46294
13779c862724
143c8427d488
1521682020e1
hex12c2313610

80567416336 has 45 divisors (see below), whose sum is σ = 171606899919. Its totient is φ = 36615876000.

The previous prime is 80567416331. The next prime is 80567416469. The reversal of 80567416336 is 63361476508.

The square root of 80567416336 is 283844.

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

It is a super-2 number, since 2×805674163362 (a number of 23 digits) contains 22 as substring.

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 80567416336.

It is not an unprimeable number, because it can be changed into a prime (80567416331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 12485911 + ... + 12492361.

Almost surely, 280567416336 is an apocalyptic number.

80567416336 is the 283844-th square number.

It is an amenable number.

80567416336 is an abundant number, since it is smaller than the sum of its proper divisors (91039483583).

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

80567416336 is an frugal number, since it uses more digits than its factorization.

80567416336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12932 (or 6464 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 49.

Multiplying 80567416336 by its sum of digits (49), we get a square (3947803400464 = 19869082).

The spelling of 80567416336 in words is "eighty billion, five hundred sixty-seven million, four hundred sixteen thousand, three hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 968 1936 6451 12902 25804 51608 70961 103216 141922 283844 567688 780571 1135376 1561142 3122284 6244568 12489136 41615401 83230802 166461604 332923208 457769411 665846416 915538822 1831077644 3662155288 5035463521 7324310576 10070927042 20141854084 40283708168 80567416336