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36726272881 = 172112732
BaseRepresentation
bin100010001101000011…
…100111001101110001
310111210111221222010221
4202031003213031301
51100203411213011
624512151253041
72440053111604
oct421503471561
9114714858127
1036726272881
1114637029441
12714b67a181
133603a6b91c
141ac58b033b
15e4e3c3971
hex88d0e7371

36726272881 has 9 divisors (see below), whose sum is σ = 39017183521. Its totient is φ = 34562837632.

The previous prime is 36726272809. The next prime is 36726272893. The reversal of 36726272881 is 18827262763.

It is a happy number.

The square root of 36726272881 is 191641.

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

It can be written as a sum of positive squares in 4 ways, for example, as 46362481 + 36679910400 = 6809^2 + 191520^2 .

It is not a de Polignac number, because 36726272881 - 27 = 36726272753 is a prime.

It is a super-2 number, since 2×367262728812 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (36726272801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3252261 + ... + 3263533.

Almost surely, 236726272881 is an apocalyptic number.

36726272881 is the 191641-st square number.

36726272881 is the 95821-st centered octagonal number.

It is an amenable number.

36726272881 is a deficient number, since it is larger than the sum of its proper divisors (2290910640).

36726272881 is an frugal number, since it uses more digits than its factorization.

36726272881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22580 (or 11290 counting only the distinct ones).

The product of its digits is 2709504, while the sum is 52.

The spelling of 36726272881 in words is "thirty-six billion, seven hundred twenty-six million, two hundred seventy-two thousand, eight hundred eighty-one".

Divisors: 1 17 289 11273 191641 3257897 127080529 2160368993 36726272881