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1326099646096 = 24232125172
BaseRepresentation
bin10011010011000001101…
…100101100011010010000
311200202220011102211220021
4103103001230230122100
5133211323002133341
62453111325353224
7164543662003141
oct23230154543220
94622804384807
101326099646096
11471439751645
12195010108814
13980873b9504
144827d9bbac8
152476540d9d1
hex134c1b2c690

1326099646096 has 45 divisors (see below), whose sum is σ = 2686099075401. Its totient is φ = 634170901056.

The previous prime is 1326099646093. The next prime is 1326099646117. The reversal of 1326099646096 is 6906469906231.

The square root of 1326099646096 is 1151564.

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., 1244340250000 + 81759396096 = 1115500^2 + 285936^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1326099646093) 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 8 ways as a sum of consecutive naturals, for example, 105937630 + ... + 105950146.

Almost surely, 21326099646096 is an apocalyptic number.

1326099646096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1326099646096 is the 1151564-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1326099646096

1326099646096 is an abundant number, since it is smaller than the sum of its proper divisors (1359999429305).

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

1326099646096 is an frugal number, since it uses more digits than its factorization.

1326099646096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25088 (or 12542 counting only the distinct ones).

The product of its (nonzero) digits is 22674816, while the sum is 61.

The spelling of 1326099646096 in words is "one trillion, three hundred twenty-six billion, ninety-nine million, six hundred forty-six thousand, ninety-six".

Divisors: 1 2 4 8 16 23 46 92 184 368 529 1058 2116 4232 8464 12517 25034 50068 100136 200272 287891 575782 1151564 2303128 4606256 6621493 13242986 26485972 52971944 105943888 156675289 313350578 626701156 1253402312 2506804624 3603531647 7207063294 14414126588 28828253176 57656506352 82881227881 165762455762 331524911524 663049823048 1326099646096