Search a number
-
+
97366966848 = 2632169039873
BaseRepresentation
bin101101010101110000…
…1100000001001000000
3100022022200010101210100
41122223201200021000
53043401420414343
6112421344002400
710014562364004
oct1325341401100
9308280111710
1097366966848
1138325129348
1216a54000400
139249172068
1449d94a0704
1527eced19d3
hex16ab860240

97366966848 has 42 divisors (see below), whose sum is σ = 279084831974. Its totient is φ = 32455655424.

The previous prime is 97366966843. The next prime is 97366966849. The reversal of 97366966848 is 84866966379.

It can be written as a sum of positive squares in only one way, i.e., 71841153024 + 25525813824 = 268032^2 + 159768^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (97366966843) 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 5 ways as a sum of consecutive naturals, for example, 84519361 + ... + 84520512.

Almost surely, 297366966848 is an apocalyptic number.

It is an amenable number.

97366966848 is an abundant number, since it is smaller than the sum of its proper divisors (181717865126).

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

97366966848 is a wasteful number, since it uses less digits than its factorization.

97366966848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169039891 (or 169039878 counting only the distinct ones).

The product of its digits is 564350976, while the sum is 72.

The spelling of 97366966848 in words is "ninety-seven billion, three hundred sixty-six million, nine hundred sixty-six thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 169039873 338079746 507119619 676159492 1014239238 1352318984 1521358857 2028478476 2704637968 3042717714 4056956952 5409275936 6085435428 8113913904 10818551872 12170870856 16227827808 24341741712 32455655616 48683483424 97366966848