Search a number
-
+
3335915456106 = 2347591939471097
BaseRepresentation
bin110000100010110100000…
…011100100011001101010
3102210220120200110111211020
4300202310003210121222
5414123423324043411
611032255353313310
7463004044344132
oct60426403443152
912726520414736
103335915456106
111076832342802
1245a633405836
131b276342ac8c
14b765dd65ac2
155bb95014606
hex308b40e466a

3335915456106 has 128 divisors (see below), whose sum is σ = 6978886594560. Its totient is φ = 1062230433792.

The previous prime is 3335915456087. The next prime is 3335915456117. The reversal of 3335915456106 is 6016545195333.

It is a super-2 number, since 2×33359154561062 (a number of 26 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 3040943350 + ... + 3040944446.

It is an arithmetic number, because the mean of its divisors is an integer number (54522551520).

Almost surely, 23335915456106 is an apocalyptic number.

3335915456106 is an abundant number, since it is smaller than the sum of its proper divisors (3642971138454).

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

3335915456106 is a wasteful number, since it uses less digits than its factorization.

3335915456106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2348.

The product of its (nonzero) digits is 4374000, while the sum is 51.

The spelling of 3335915456106 in words is "three trillion, three hundred thirty-five billion, nine hundred fifteen million, four hundred fifty-six thousand, one hundred six".

Divisors: 1 2 3 6 47 59 94 118 141 177 193 282 354 386 579 947 1097 1158 1894 2194 2773 2841 3291 5546 5682 6582 8319 9071 11387 16638 18142 22774 27213 34161 44509 51559 54426 55873 64723 68322 89018 103118 111746 129446 133527 154677 167619 182771 194169 211721 267054 309354 335238 365542 388338 423442 535189 548313 635163 1038859 1070378 1096626 1270326 1605567 2077718 2626031 3041981 3116577 3211134 5252062 6083962 6233154 7878093 8590237 9125943 9950887 10783489 12491539 15756186 17180474 18251886 19901774 21566978 24983078 25770711 29852661 32350467 37474617 48826373 51541422 59705322 61292681 64700934 74949234 97652746 122585362 146479119 183878043 200499787 292958238 367756086 400999574 506823983 587102333 601499361 1013647966 1174204666 1202998722 1520471949 1761306999 2880756007 3040943898 3522613998 5761512014 8642268021 9423489989 11829487433 17284536042 18846979978 23658974866 28270469967 35488462299 56540939934 70976924598 555985909351 1111971818702 1667957728053 3335915456106