Search a number
-
+
71568059031 = 3371923313169
BaseRepresentation
bin100001010100111001…
…0011110101010010111
320211201200221002111000
41002221302132222113
52133032410342111
652513343514343
75112344315220
oct1025162365227
9224650832430
1071568059031
1128396338027
1211a53bb89b3
136997278b31
14366cd94247
151cdd100c56
hex10a9c9ea97

71568059031 has 96 divisors (see below), whose sum is σ = 128313484800. Its totient is φ = 38614371840.

The previous prime is 71568058897. The next prime is 71568059041. The reversal of 71568059031 is 13095086517.

It is a happy number.

71568059031 is a `hidden beast` number, since 7 + 1 + 56 + 8 + 0 + 590 + 3 + 1 = 666.

It is not a de Polignac number, because 71568059031 - 233 = 62978124439 is a prime.

It is a super-2 number, since 2×715680590312 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71568059041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22582215 + ... + 22585383.

It is an arithmetic number, because the mean of its divisors is an integer number (1336598800).

Almost surely, 271568059031 is an apocalyptic number.

71568059031 is a deficient number, since it is larger than the sum of its proper divisors (56745425769).

71568059031 is a wasteful number, since it uses less digits than its factorization.

71568059031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3554 (or 3529 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The spelling of 71568059031 in words is "seventy-one billion, five hundred sixty-eight million, fifty-nine thousand, thirty-one".

Divisors: 1 3 7 9 19 21 27 57 63 133 171 189 331 361 399 513 993 1083 1197 2317 2527 2979 3169 3249 3591 6289 6951 7581 8937 9507 9747 18867 20853 22183 22743 28521 44023 56601 60211 62559 66549 68229 85563 119491 132069 169803 180633 199647 358473 396207 421477 541899 598941 836437 1048939 1075419 1144009 1188621 1264431 1625697 2509311 3146817 3226257 3432027 3793293 7342573 7527933 8008063 9440451 10296081 11379879 19929841 22027719 22583799 24024189 28321353 30888243 59789523 66083157 72072567 139508887 179368569 198249471 216217701 378666979 418526661 538105707 1136000937 1255579983 2650668853 3408002811 3766739949 7952006559 10224008433 23856019677 71568059031