Search a number
-
+
61744056471 = 32371272236547
BaseRepresentation
bin111001100000001110…
…111000100010010111
312220101001100001110100
4321200032320202113
52002422434301341
644210445225143
74314034551306
oct714016704227
9186331301410
1061744056471
1124204a01549
12bb71b621b3
135a8cb90776
142dba36643d
15191590a3b6
hexe603b8897

61744056471 has 48 divisors (see below), whose sum is σ = 92745662464. Its totient is φ = 39550617792.

The previous prime is 61744056469. The next prime is 61744056527. The reversal of 61744056471 is 17465044716.

61744056471 is a `hidden beast` number, since 6 + 17 + 4 + 4 + 0 + 564 + 71 = 666.

It is not a de Polignac number, because 61744056471 - 21 = 61744056469 is a prime.

It is a super-3 number, since 3×617440564713 (a number of 33 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61744056431) 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 47 ways as a sum of consecutive naturals, for example, 9427620 + ... + 9434166.

Almost surely, 261744056471 is an apocalyptic number.

61744056471 is a deficient number, since it is larger than the sum of its proper divisors (31001605993).

61744056471 is a wasteful number, since it uses less digits than its factorization.

61744056471 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6940 (or 6937 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 61744056471 in words is "sixty-one billion, seven hundred forty-four million, fifty-six thousand, four hundred seventy-one".

Divisors: 1 3 9 37 111 127 223 333 381 669 1143 2007 4699 6547 8251 14097 19641 24753 28321 42291 58923 74259 84963 242239 254889 726717 831469 1047877 1459981 2180151 2494407 3143631 4379943 7483221 9430893 13139829 30764353 54019297 92293059 162057891 185417587 276879177 486173673 556252761 1668758283 6860450719 20581352157 61744056471