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382527545664 = 26311181120997
BaseRepresentation
bin1011001000100000110…
…10110010000101000000
31100120101000001201120110
411210100122302011000
522231404022430124
6451421500511320
736431250326625
oct5442032620500
91316330051513
10382527545664
111382579108a0
126217784b540
132a0c27b8974
141472b85c34c
159e3c9ea029
hex59106b2140

382527545664 has 56 divisors (see below), whose sum is σ = 1104113603808. Its totient is φ = 115917437440.

The previous prime is 382527545641. The next prime is 382527545669. The reversal of 382527545664 is 466545725283.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (382527545669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 90558387 + ... + 90562610.

Almost surely, 2382527545664 is an apocalyptic number.

It is an amenable number.

382527545664 is an abundant number, since it is smaller than the sum of its proper divisors (721586058144).

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

382527545664 is a wasteful number, since it uses less digits than its factorization.

382527545664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181121023 (or 181121013 counting only the distinct ones).

The product of its digits is 48384000, while the sum is 57.

The spelling of 382527545664 in words is "three hundred eighty-two billion, five hundred twenty-seven million, five hundred forty-five thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1056 2112 181120997 362241994 543362991 724483988 1086725982 1448967976 1992330967 2173451964 2897935952 3984661934 4346903928 5795871904 5976992901 7969323868 8693807856 11591743808 11953985802 15938647736 17387615712 23907971604 31877295472 34775231424 47815943208 63754590944 95631886416 127509181888 191263772832 382527545664