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81539987616 = 25321373206209
BaseRepresentation
bin100101111110000101…
…0010111100010100000
321210110122212112212100
41023330022113202200
52313443214100431
6101243044530400
75614431313263
oct1137412274240
9253418775770
1081539987616
113164321961a
12139776b0a00
1378c61b80a9
143d374cacda
1521c37b64e6
hex12fc2978a0

81539987616 has 72 divisors (see below), whose sum is σ = 232049350260. Its totient is φ = 27160068096.

The previous prime is 81539987597. The next prime is 81539987621. The reversal of 81539987616 is 61678993518.

81539987616 is a `hidden beast` number, since 8 + 1 + 5 + 3 + 9 + 9 + 8 + 7 + 616 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 58949897616 + 22590090000 = 242796^2 + 150300^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 292320 + ... + 498528.

Almost surely, 281539987616 is an apocalyptic number.

It is an amenable number.

81539987616 is an abundant number, since it is smaller than the sum of its proper divisors (150509362644).

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

81539987616 is a wasteful number, since it uses less digits than its factorization.

81539987616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207598 (or 207587 counting only the distinct ones).

The product of its digits is 19595520, while the sum is 63.

The spelling of 81539987616 in words is "eighty-one billion, five hundred thirty-nine million, nine hundred eighty-seven thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 1373 2746 4119 5492 8238 10984 12357 16476 21968 24714 32952 43936 49428 65904 98856 131808 197712 206209 395424 412418 618627 824836 1237254 1649672 1855881 2474508 3299344 3711762 4949016 6598688 7423524 9898032 14847048 19796064 29694096 59388192 283124957 566249914 849374871 1132499828 1698749742 2264999656 2548124613 3397499484 4529999312 5096249226 6794998968 9059998624 10192498452 13589997936 20384996904 27179995872 40769993808 81539987616