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5677000021 = 71137101109181
BaseRepresentation
bin1010100100110000…
…00010010101010101
3112122122021111000001
411102120002111111
543111303000041
62335153451301
7260452463320
oct52230022525
915578244001
105677000021
112453578160
121125270b31
136c61a7214
143bbd6d7b7
152335d4131
hex152602555

5677000021 has 64 divisors (see below), whose sum is σ = 7449361920. Its totient is φ = 4199040000.

The previous prime is 5677000019. The next prime is 5677000073. The reversal of 5677000021 is 1200007765.

It is a 5-Lehmer number, since φ(5677000021) divides (5677000021-1)5.

It is a cyclic number.

It is not a de Polignac number, because 5677000021 - 21 = 5677000019 is a prime.

It is a deceptive number, since it divides R5677000020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5677000081) 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 63 ways as a sum of consecutive naturals, for example, 31364551 + ... + 31364731.

It is an arithmetic number, because the mean of its divisors is an integer number (116396280).

Almost surely, 25677000021 is an apocalyptic number.

It is an amenable number.

5677000021 is a deficient number, since it is larger than the sum of its proper divisors (1772361899).

5677000021 is a wasteful number, since it uses less digits than its factorization.

5677000021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446.

The product of its (nonzero) digits is 2940, while the sum is 28.

The square root of 5677000021 is about 75345.8693028357. The cubic root of 5677000021 is about 1783.9101037780.

Adding to 5677000021 its reverse (1200007765), we get a palindrome (6877007786).

It can be divided in two parts, 56 and 77000021, that added together give a palindrome (77000077).

The spelling of 5677000021 in words is "five billion, six hundred seventy-seven million, twenty-one", and thus it is an aban number.

Divisors: 1 7 11 37 77 101 109 181 259 407 707 763 1111 1199 1267 1991 2849 3737 4033 6697 7777 8393 11009 13937 18281 19729 26159 28231 41107 44363 46879 73667 77063 121099 127967 138103 201091 217019 287749 310541 407333 515669 676397 729973 847693 1407637 1519133 1992629 2851331 4480663 4734779 5109811 7440367 8029703 13948403 21918919 31364641 52082569 56207921 73727273 153432433 516090911 811000003 5677000021