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87640655427 = 33133112763421
BaseRepresentation
bin101000110011111001…
…0100100011001000011
322101012211100120211000
41101213302210121003
52413442001433202
6104132255223043
76221550164643
oct1214762443103
9271184316730
1087640655427
1134193957646
1214b9a817a83
13835909c5c0
144355822523
15242e18691c
hex1467ca4643

87640655427 has 64 divisors (see below), whose sum is σ = 145474846720. Its totient is φ = 51781161600.

The previous prime is 87640655299. The next prime is 87640655449. The reversal of 87640655427 is 72455604678.

It is a happy number.

87640655427 is a `hidden beast` number, since 8 + 7 + 64 + 0 + 6 + 554 + 27 = 666.

It is not a de Polignac number, because 87640655427 - 27 = 87640655299 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (87640655467) 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 63 ways as a sum of consecutive naturals, for example, 1350177 + ... + 1413597.

It is an arithmetic number, because the mean of its divisors is an integer number (2273044480).

Almost surely, 287640655427 is an apocalyptic number.

87640655427 is a deficient number, since it is larger than the sum of its proper divisors (57834191293).

87640655427 is a wasteful number, since it uses less digits than its factorization.

87640655427 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63601 (or 63595 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 54.

The spelling of 87640655427 in words is "eighty-seven billion, six hundred forty million, six hundred fifty-five thousand, four hundred twenty-seven".

Divisors: 1 3 9 13 27 31 39 93 117 127 279 351 381 403 837 1143 1209 1651 3429 3627 3937 4953 10881 11811 14859 35433 44577 51181 63421 106299 153543 190263 460629 570789 824473 1381887 1712367 1966051 2473419 5898153 7420257 8054467 17694459 22260771 24163401 25558663 53083377 72490203 76675989 104708071 217470609 230027967 249688477 314124213 690083901 749065431 942372639 2247196293 2827117917 3245950201 6741588879 9737850603 29213551809 87640655427