Search a number
-
+
80235301397056 = 2613243220032
BaseRepresentation
bin10010001111100100111100…
…101000110110001001000000
3101112002102100002221111002121
4102033210330220312021000
541004033344124201211
6442351331050054024
722620544365026311
oct2217447450661100
9345072302844077
1080235301397056
11236246669aa453
128bba18011a314
1335a0205971a00
1415b55a31da608
15942187126271
hex48f93ca36240

80235301397056 has 189 divisors, whose sum is σ = 176597356919769. Its totient is φ = 36152417613312.

The previous prime is 80235301397021. The next prime is 80235301397063. The reversal of 80235301397056 is 65079310353208.

The square root of 80235301397056 is 8957416.

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

It can be written as a sum of positive squares in only one way, i.e., 11869127425600 + 68366173971456 = 3445160^2 + 8268384^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 80235301396994 and 80235301397012.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 40057563351 + ... + 40057565353.

Almost surely, 280235301397056 is an apocalyptic number.

80235301397056 is a gapful number since it is divisible by the number (86) formed by its first and last digit.

80235301397056 is the 8957416-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80235301397056

80235301397056 is an abundant number, since it is smaller than the sum of its proper divisors (96362055522713).

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

80235301397056 is an frugal number, since it uses more digits than its factorization.

80235301397056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4130 (or 2061 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 52.

The spelling of 80235301397056 in words is "eighty trillion, two hundred thirty-five billion, three hundred one million, three hundred ninety-seven thousand, fifty-six".