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82032668381 = 471745375923
BaseRepresentation
bin100110001100110000…
…1110010111011011101
321211201222221022211002
41030121201302323131
52321000330342011
6101404004440045
75632563114326
oct1143141627335
9254658838732
1082032668381
1131876336a04
1213a946a9025
1379742a9881
143d82ad944d
152201b85c3b
hex1319872edd

82032668381 has 4 divisors (see below), whose sum is σ = 83778044352. Its totient is φ = 80287292412.

The previous prime is 82032668357. The next prime is 82032668401. The reversal of 82032668381 is 18386623028.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-82032668381 is a prime.

It is a super-3 number, since 3×820326683813 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (47), and also a Moran number because the ratio is a prime number: 1745375923 = 82032668381 / (8 + 2 + 0 + 3 + 2 + 6 + 6 + 8 + 3 + 8 + 1).

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82032668281) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 872687915 + ... + 872688008.

It is an arithmetic number, because the mean of its divisors is an integer number (20944511088).

Almost surely, 282032668381 is an apocalyptic number.

It is an amenable number.

82032668381 is a deficient number, since it is larger than the sum of its proper divisors (1745375971).

82032668381 is a wasteful number, since it uses less digits than its factorization.

82032668381 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1745375970.

The product of its (nonzero) digits is 663552, while the sum is 47.

The spelling of 82032668381 in words is "eighty-two billion, thirty-two million, six hundred sixty-eight thousand, three hundred eighty-one".

Divisors: 1 47 1745375923 82032668381