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81541724904 = 23321132523957
BaseRepresentation
bin100101111110001000…
…0111111101011101000
321210110210010210222100
41023330100333223220
52313444140144104
6101243150053400
75614452140253
oct1137420775350
9253423123870
1081541724904
11316441a58a2
12139781aa260
1378c6675a83
143d3782009a
1521c3a0b139
hex12fc43fae8

81541724904 has 24 divisors (see below), whose sum is σ = 220842171810. Its totient is φ = 27180574944.

The previous prime is 81541724861. The next prime is 81541724917. The reversal of 81541724904 is 40942714518.

81541724904 is a `hidden beast` number, since 8 + 154 + 1 + 7 + 2 + 490 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 79101562500 + 2440162404 = 281250^2 + 49398^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×815417249042 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 81541724904.

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, 566261907 + ... + 566262050.

Almost surely, 281541724904 is an apocalyptic number.

It is an amenable number.

81541724904 is an abundant number, since it is smaller than the sum of its proper divisors (139300446906).

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

81541724904 is a wasteful number, since it uses less digits than its factorization.

81541724904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1132523969 (or 1132523962 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 81541724904 in words is "eighty-one billion, five hundred forty-one million, seven hundred twenty-four thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1132523957 2265047914 3397571871 4530095828 6795143742 9060191656 10192715613 13590287484 20385431226 27180574968 40770862452 81541724904