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467768138081 is a prime number
BaseRepresentation
bin1101100111010010010…
…01110101100101100001
31122201101120021110212212
412303221021311211201
530130442120404311
6554520102331505
745536505366416
oct6635111654541
91581346243785
10467768138081
11170419a12592
12767a6729b95
1335158579a2a
14188d660610d
15c27b0e6c8b
hex6ce9275961

467768138081 has 2 divisors, whose sum is σ = 467768138082. Its totient is φ = 467768138080.

The previous prime is 467768138063. The next prime is 467768138147. The reversal of 467768138081 is 180831867764.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 336028902400 + 131739235681 = 579680^2 + 362959^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-467768138081 is a prime.

It is a super-2 number, since 2×4677681380812 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 467768138081.

It is not a weakly prime, because it can be changed into another prime (467768138041) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 233884069040 + 233884069041.

It is an arithmetic number, because the mean of its divisors is an integer number (233884069041).

Almost surely, 2467768138081 is an apocalyptic number.

It is an amenable number.

467768138081 is a deficient number, since it is larger than the sum of its proper divisors (1).

467768138081 is an equidigital number, since it uses as much as digits as its factorization.

467768138081 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 10838016, while the sum is 59.

The spelling of 467768138081 in words is "four hundred sixty-seven billion, seven hundred sixty-eight million, one hundred thirty-eight thousand, eighty-one".