Search a number
-
+
80326908150784 = 210192147412
BaseRepresentation
bin10010010000111010010000…
…110100111000010000000000
3101112102011210100012201222021
4102100322100310320100000
541012034001441311114
6442501401104451224
722630266444422131
oct2220722064702000
9345364710181867
1080326908150784
112365a4a5595389
129013a87019b14
1335a8a44622b29
1415b9bb3669c88
15944749588024
hex490e90d38400

80326908150784 has 99 divisors (see below), whose sum is σ = 169483011940461. Its totient is φ = 38047006863360.

The previous prime is 80326908150781. The next prime is 80326908150809. The reversal of 80326908150784 is 48705180962308.

The square root of 80326908150784 is 8962528.

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., 78162007901184 + 2164900249600 = 8840928^2 + 1471360^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (80326908150781) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5449209654 + ... + 5449224394.

It is a 1-persistent number, because it is pandigital, but 2⋅80326908150784 = 160653816301568 is not.

Almost surely, 280326908150784 is an apocalyptic number.

80326908150784 is the 8962528-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80326908150784

80326908150784 is an abundant number, since it is smaller than the sum of its proper divisors (89156103789677).

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

80326908150784 is an frugal number, since it uses more digits than its factorization.

80326908150784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29540 (or 14762 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 61.

The spelling of 80326908150784 in words is "eighty trillion, three hundred twenty-six billion, nine hundred eight million, one hundred fifty thousand, seven hundred eighty-four".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 256 304 361 512 608 722 1024 1216 1444 2432 2888 4864 5776 9728 11552 14741 19456 23104 29482 46208 58964 92416 117928 184832 235856 280079 369664 471712 560158 943424 1120316 1886848 2240632 3773696 4481264 5321501 7547392 8962528 10643002 15094784 17925056 21286004 35850112 42572008 71700224 85144016 143400448 170288032 217297081 286800896 340576064 434594162 681152128 869188324 1362304256 1738376648 2724608512 3476753296 4128644539 5449217024 6953506592 8257289078 13907013184 16514578156 27814026368 33029156312 55628052736 66058312624 78444246241 111256105472 132116625248 156888492482 222512210944 264233250496 313776984964 528466500992 627553969928 1056933001984 1255107939856 2113866003968 2510215879712 4227732007936 5020431759424 10040863518848 20081727037696 40163454075392 80326908150784