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11302148736 = 27329810893
BaseRepresentation
bin10101000011010100…
…10001101010000000
31002011122222122101100
422201222101222000
5141121322224421
65105300134400
7550035451644
oct124152215200
932148878340
1011302148736
11487a84a69a
122235097400
1310b16c8498
14793082c24
15462374c26
hex2a1a91a80

11302148736 has 48 divisors (see below), whose sum is σ = 32523113610. Its totient is φ = 3767382528.

The previous prime is 11302148713. The next prime is 11302148789. The reversal of 11302148736 is 63784120311.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 6561000000 + 4741148736 = 81000^2 + 68856^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 11302148736.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4904295 + ... + 4906598.

Almost surely, 211302148736 is an apocalyptic number.

11302148736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11302148736 is an abundant number, since it is smaller than the sum of its proper divisors (21220964874).

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

11302148736 is an equidigital number, since it uses as much as digits as its factorization.

11302148736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9810913 (or 9810898 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 11302148736 in words is "eleven billion, three hundred two million, one hundred forty-eight thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 9810893 19621786 29432679 39243572 58865358 78487144 88298037 117730716 156974288 176596074 235461432 313948576 353192148 470922864 627897152 706384296 941845728 1255794304 1412768592 1883691456 2825537184 3767382912 5651074368 11302148736