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26130399201 = 3659872
BaseRepresentation
bin11000010101011111…
…100011111111100001
32111110001221211000000
4120111133203333201
5412003340233301
620000521050213
71613351504604
oct302537437741
974401854000
1026130399201
1110099a24745
125093026969
13260579ba9a
14139c55a33b
15a2e060786
hex6157e3fe1

26130399201 has 21 divisors (see below), whose sum is σ = 39184221601. Its totient is φ = 17417356452.

The previous prime is 26130399149. The next prime is 26130399283. The reversal of 26130399201 is 10299303162.

It is a happy number.

The square root of 26130399201 is 161649.

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

26130399201 is a `hidden beast` number, since 2 + 61 + 3 + 0 + 399 + 201 = 666.

It is not a de Polignac number, because 26130399201 - 27 = 26130399073 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (26130399301) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 4361530 + ... + 4367516.

Almost surely, 226130399201 is an apocalyptic number.

26130399201 is the 161649-th square number.

26130399201 is the 80825-th centered octagonal number.

It is an amenable number.

26130399201 is a deficient number, since it is larger than the sum of its proper divisors (13053822400).

26130399201 is an frugal number, since it uses more digits than its factorization.

26130399201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11992 (or 5990 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

Multiplying 26130399201 by its sum of digits (36), we get a square (940694371236 = 9698942).

The spelling of 26130399201 in words is "twenty-six billion, one hundred thirty million, three hundred ninety-nine thousand, two hundred one".

Divisors: 1 3 9 27 81 243 729 5987 17961 53883 161649 484947 1454841 4364523 35844169 107532507 322597521 967792563 2903377689 8710133067 26130399201