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38872814641 is a prime number
BaseRepresentation
bin100100001101000000…
…000001010000110001
310201100010001120212121
4210031000001100301
51114102420032031
625505151154241
72544206321053
oct441500012061
9121303046777
1038872814641
1115538765aa1
12764a515981
1338866a3a8b
141c4a9d38d3
151027a81011
hex90d001431

38872814641 has 2 divisors, whose sum is σ = 38872814642. Its totient is φ = 38872814640.

The previous prime is 38872814611. The next prime is 38872814693. The reversal of 38872814641 is 14641827883.

It is an a-pointer prime, because the next prime (38872814693) can be obtained adding 38872814641 to its sum of digits (52).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 35834490000 + 3038324641 = 189300^2 + 55121^2 .

It is a cyclic number.

It is not a de Polignac number, because 38872814641 - 29 = 38872814129 is a prime.

It is a super-2 number, since 2×388728146412 (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (38872814611) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 19436407320 + 19436407321.

It is an arithmetic number, because the mean of its divisors is an integer number (19436407321).

Almost surely, 238872814641 is an apocalyptic number.

It is an amenable number.

38872814641 is a deficient number, since it is larger than the sum of its proper divisors (1).

38872814641 is an equidigital number, since it uses as much as digits as its factorization.

38872814641 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2064384, while the sum is 52.

The spelling of 38872814641 in words is "thirty-eight billion, eight hundred seventy-two million, eight hundred fourteen thousand, six hundred forty-one".