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130826166601 = 132278232
BaseRepresentation
bin111100111010111011…
…0001110000101001001
3110111200111111212010211
41321311312032011021
54120412444312401
6140033430441121
712310665032224
oct1716566160511
9414614455124
10130826166601
1150534a62349
12214315031a1
13c44c0b9900
1464910c65bb
15360a658951
hex1e75d8e149

130826166601 has 9 divisors (see below), whose sum is σ = 141668928999. Its totient is φ = 120758274936.

The previous prime is 130826166593. The next prime is 130826166659. The reversal of 130826166601 is 106661628031.

The square root of 130826166601 is 361699.

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., 19352983225 + 111473183376 = 139115^2 + 333876^2 .

It is not a de Polignac number, because 130826166601 - 23 = 130826166593 is a prime.

It is not an unprimeable number, because it can be changed into a prime (130826166001) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4688176 + ... + 4715998.

It is an arithmetic number, because the mean of its divisors is an integer number (15740992111).

Almost surely, 2130826166601 is an apocalyptic number.

130826166601 is the 361699-th square number.

130826166601 is the 180850-th centered octagonal number.

It is an amenable number.

130826166601 is a deficient number, since it is larger than the sum of its proper divisors (10842762398).

130826166601 is an frugal number, since it uses more digits than its factorization.

130826166601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55672 (or 27836 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 40.

The spelling of 130826166601 in words is "one hundred thirty billion, eight hundred twenty-six million, one hundred sixty-six thousand, six hundred one".

Divisors: 1 13 169 27823 361699 4702087 774119329 10063551277 130826166601