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87927560544 = 25314930720023
BaseRepresentation
bin101000111100011100…
…1000001100101100000
322101221211012212122110
41101320321001211200
52420033423414134
6104220544435320
76231632635005
oct1217071014540
9271854185573
1087927560544
11343208a770a
121505a918b40
1383a3663c45
1443819878ac
15244945a7e9
hex1478e41960

87927560544 has 96 divisors (see below), whose sum is σ = 233127417600. Its totient is φ = 29016202752.

The previous prime is 87927560543. The next prime is 87927560549. The reversal of 87927560544 is 44506572978.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87927560543) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4381317 + ... + 4401339.

It is an arithmetic number, because the mean of its divisors is an integer number (2428410600).

Almost surely, 287927560544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87927560544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116563708800).

87927560544 is an abundant number, since it is smaller than the sum of its proper divisors (145199857056).

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

87927560544 is a wasteful number, since it uses less digits than its factorization.

87927560544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20492 (or 20484 counting only the distinct ones).

The product of its (nonzero) digits is 16934400, while the sum is 57.

The spelling of 87927560544 in words is "eighty-seven billion, nine hundred twenty-seven million, five hundred sixty thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 149 298 307 447 596 614 894 921 1192 1228 1788 1842 2384 2456 3576 3684 4768 4912 7152 7368 9824 14304 14736 20023 29472 40046 45743 60069 80092 91486 120138 137229 160184 182972 240276 274458 320368 365944 480552 548916 640736 731888 961104 1097832 1463776 1922208 2195664 2983427 4391328 5966854 6147061 8950281 11933708 12294122 17900562 18441183 23867416 24588244 35801124 36882366 47734832 49176488 71602248 73764732 95469664 98352976 143204496 147529464 196705952 286408992 295058928 590117856 915912089 1831824178 2747736267 3663648356 5495472534 7327296712 10990945068 14654593424 21981890136 29309186848 43963780272 87927560544