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95042981502001 = 1327499232
BaseRepresentation
bin10101100111000011101011…
…001001101001110000110001
3110110112000112210110221020001
4111213003223021221300301
544424141011231031001
6534050050512550001
726006425453131421
oct2547035311516061
9413460483427201
1095042981502001
11283135583242a5
12a7abb72252301
13410568ca3cc00
1419681679c6481
15aec4456c3001
hex5670eb269c31

95042981502001 has 9 divisors (see below), whose sum is σ = 102916501821099. Its totient is φ = 87731865936936.

The previous prime is 95042981501911. The next prime is 95042981502013. The reversal of 95042981502001 is 10020518924059.

It is a happy number.

The square root of 95042981502001 is 9748999.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 14059612648225 + 80983368853776 = 3749615^2 + 8999076^2 .

It is a de Polignac number, because none of the positive numbers 2k-95042981502001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (95042981502031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 126362026 + ... + 127111948.

It is an arithmetic number, because the mean of its divisors is an integer number (11435166869011).

Almost surely, 295042981502001 is an apocalyptic number.

95042981502001 is the 9748999-th square number.

95042981502001 is the 4874500-th centered octagonal number.

It is an amenable number.

95042981502001 is a deficient number, since it is larger than the sum of its proper divisors (7873520319098).

95042981502001 is an frugal number, since it uses more digits than its factorization.

95042981502001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1499872 (or 749936 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 46.

The spelling of 95042981502001 in words is "ninety-five trillion, forty-two billion, nine hundred eighty-one million, five hundred two thousand, one".

Divisors: 1 13 169 749923 9748999 126736987 562384505929 7310998577077 95042981502001