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5185296081 = 38721272
BaseRepresentation
bin1001101010001000…
…10101011011010001
3111101101001100000000
410311010111123101
541104413433311
62214310520213
7242332201200
oct46504253321
914341040000
105185296081
112220a67769
121008666069
13648368244
14372937237
15205359056
hex1351156d1

5185296081 has 81 divisors (see below), whose sum is σ = 9119152809. Its totient is φ = 2939695416.

The previous prime is 5185296073. The next prime is 5185296097. The reversal of 5185296081 is 1806925815.

It is a happy number.

The square root of 5185296081 is 72009.

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

5185296081 is a `hidden beast` number, since 5 + 18 + 5 + 29 + 608 + 1 = 666.

It is a tau number, because it is divible by the number of its divisors (81).

It is not a de Polignac number, because 5185296081 - 23 = 5185296073 is a prime.

It is a super-2 number, since 2×51852960812 = 53774590895267917122, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (5185296001) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 40829040 + ... + 40829166.

Almost surely, 25185296081 is an apocalyptic number.

5185296081 is the 72009-th square number.

5185296081 is the 36005-th centered octagonal number.

It is an amenable number.

5185296081 is a deficient number, since it is larger than the sum of its proper divisors (3933856728).

5185296081 is an frugal number, since it uses more digits than its factorization.

5185296081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 45.

The cubic root of 5185296081 is about 1730.8437063214.

The spelling of 5185296081 in words is "five billion, one hundred eighty-five million, two hundred ninety-six thousand, eighty-one".

Divisors: 1 3 7 9 21 27 49 63 81 127 147 189 243 381 441 567 729 889 1143 1323 1701 2187 2667 3429 3969 5103 6223 6561 8001 10287 11907 15309 16129 18669 24003 30861 35721 45927 48387 56007 72009 92583 107163 112903 145161 168021 216027 277749 321489 338709 435483 504063 648081 790321 833247 1016127 1306449 1512189 1944243 2370963 3048381 3919347 4536567 5832729 7112889 9145143 11758041 13609701 21338667 27435429 35274123 40829103 64016001 82306287 105822369 192048003 246918861 576144009 740756583 1728432027 5185296081