Search a number
-
+
47664388346674 = 211191272694996689
BaseRepresentation
bin10101101011001101110101…
…11011111001001100110010
320020202200010011202221212111
422311212322323321030302
522221413131404043144
6245212415005515534
713016431656061261
oct1265467273711462
9206680104687774
1047664388346674
1114207398682860
125419817272baa
13207996a4c04b8
14baad7c1ac5d8
15579cd7dc2534
hex2b59baef9332

47664388346674 has 128 divisors (see below), whose sum is σ = 83234304000000. Its totient is φ = 20244332021760.

The previous prime is 47664388346639. The next prime is 47664388346761.

47664388346674 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×476643883466742 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 47664388346674.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7125783522 + ... + 7125790210.

It is an arithmetic number, because the mean of its divisors is an integer number (650268000000).

Almost surely, 247664388346674 is an apocalyptic number.

47664388346674 is a deficient number, since it is larger than the sum of its proper divisors (35569915653326).

47664388346674 is a wasteful number, since it uses less digits than its factorization.

47664388346674 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7616.

The product of its digits is 9364045824, while the sum is 76.

The spelling of 47664388346674 in words is "forty-seven trillion, six hundred sixty-four billion, three hundred eighty-eight million, three hundred forty-six thousand, six hundred seventy-four".

Divisors: 1 2 11 19 22 38 127 209 254 269 418 499 538 998 1397 2413 2794 2959 4826 5111 5489 5918 6689 9481 10222 10978 13378 18962 26543 34163 53086 56221 63373 68326 73579 104291 112442 126746 127091 134231 147158 208582 254182 268462 375793 649097 697103 751586 849503 1204087 1298194 1394206 1398001 1476541 1699006 1799341 2408174 2550389 2796002 2953082 3337811 3598682 5100778 6675622 7140067 9344533 13244957 14280134 16140557 17047337 18689066 19792751 26489914 28054279 32281114 34094674 34187479 36715921 39585502 56108558 63418409 68374958 73431842 126836818 177546127 187520707 228516307 323899403 355092254 375041414 376062269 423901997 457032614 647798806 697602499 752124538 847803994 897871159 1395204998 1795742318 2513679377 3562893433 4341809833 4662921967 5027358754 7125786866 8054137943 8683619666 9325843934 9876582749 16108275886 17059552021 19753165498 34119104042 47759908163 88595517373 95519816326 114029637193 177191034746 187655072231 228059274386 375310144462 1254326009123 2166563106667 2508652018246 4333126213334 23832194173337 47664388346674