Search a number
-
+
260788727343231 = 33198312457491677
BaseRepresentation
bin111011010010111110011011…
…011101000110100001111111
31021012101011021210200000112000
4323102332123131012201333
5233140230303144440411
62322352404252113343
7105634235530254603
oct7322763335064177
91235334253600460
10260788727343231
117610597292328a
12252ba729165853
13b26936b546219
144858355519503
152023aa7487956
hexed2f9b74687f

260788727343231 has 64 divisors (see below), whose sum is σ = 411621808012800. Its totient is φ = 162710834289408.

The previous prime is 260788727343211. The next prime is 260788727343251. The reversal of 260788727343231 is 132343727887062.

It is a happy number.

260788727343231 is a `hidden beast` number, since 2 + 6 + 0 + 78 + 87 + 27 + 3 + 432 + 31 = 666.

It is an interprime number because it is at equal distance from previous prime (260788727343211) and next prime (260788727343251).

It is not a de Polignac number, because 260788727343231 - 221 = 260788725246079 is a prime.

It is a super-2 number, since 2×2607887273432312 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (260788727343211) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 530160765 + ... + 530652441.

It is an arithmetic number, because the mean of its divisors is an integer number (6431590750200).

Almost surely, 2260788727343231 is an apocalyptic number.

260788727343231 is a deficient number, since it is larger than the sum of its proper divisors (150833080669569).

260788727343231 is a wasteful number, since it uses less digits than its factorization.

260788727343231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504245 (or 504239 counting only the distinct ones).

The product of its (nonzero) digits is 113799168, while the sum is 63.

The spelling of 260788727343231 in words is "two hundred sixty trillion, seven hundred eighty-eight billion, seven hundred twenty-seven million, three hundred forty-three thousand, two hundred thirty-one".

Divisors: 1 3 9 19 27 57 83 171 249 513 747 1577 2241 4731 12457 14193 37371 42579 112113 236683 336339 491677 710049 1033931 1475031 2130147 3101793 4425093 6390441 9305379 9341863 13275279 19644689 27916137 28025589 40809191 58934067 84076767 122427573 176802201 252230301 367282719 530406603 775374629 1101848157 2326123887 6124820389 6978371661 18374461167 20935114983 55123383501 116371587391 165370150503 349114762173 508360092287 1047344286519 1525080276861 3142032859557 4575240830583 9658841753453 13725722491749 28976525260359 86929575781077 260788727343231