Search a number
-
+
58042701630864 = 243592411615483
BaseRepresentation
bin11010011001010000111101…
…00111001100110110010000
321121111211100200012021100000
431030220132213030312100
530101432423104141424
6323240240553330000
715140306153336106
oct1514503647146620
9247454320167300
1058042701630864
111754885399a645
126615093406900
132650532004522
1410493d318dc76
156a9c558653c9
hex34ca1e9ccd90

58042701630864 has 120 divisors (see below), whose sum is σ = 168473540496352. Its totient is φ = 19345461569280.

The previous prime is 58042701630821. The next prime is 58042701630883. The reversal of 58042701630864 is 46803610724085.

It is a happy number.

58042701630864 is a `hidden beast` number, since 5 + 8 + 0 + 4 + 270 + 1 + 6 + 308 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 58042701630864.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35121267 + ... + 36736749.

Almost surely, 258042701630864 is an apocalyptic number.

58042701630864 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58042701630864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84236770248176).

58042701630864 is an abundant number, since it is smaller than the sum of its proper divisors (110430838865488).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

58042701630864 is a wasteful number, since it uses less digits than its factorization.

58042701630864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1624747 (or 1624729 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 58042701630864 in words is "fifty-eight trillion, forty-two billion, seven hundred one million, six hundred thirty thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 972 1296 1944 3888 9241 18482 27723 36964 55446 73928 83169 110892 147856 166338 221784 249507 332676 443568 499014 665352 748521 998028 1330704 1497042 1615483 1996056 2245563 2994084 3230966 3992112 4491126 4846449 5988168 6461932 8982252 9692898 11976336 12923864 14539347 17964504 19385796 25847728 29078694 35929008 38771592 43618041 58157388 77543184 87236082 116314776 130854123 174472164 232629552 261708246 348944328 392562369 523416492 697888656 785124738 1046832984 1570249476 2093665968 3140498952 6280997904 14928678403 29857356806 44786035209 59714713612 89572070418 119429427224 134358105627 179144140836 238858854448 268716211254 358288281672 403074316881 537432422508 716576563344 806148633762 1074864845016 1209222950643 1612297267524 2149729690032 2418445901286 3224594535048 3627668851929 4836891802572 6449189070096 7255337703858 9673783605144 14510675407716 19347567210288 29021350815432 58042701630864