Search a number
-
+
675405141416450 = 2522331114489130337
BaseRepresentation
bin1001100110010001110000001…
…1100010001001101000000010
310021120102002201120200110101022
42121210130003202021220002
51202011314212200311300
610352244501043105442
7262156261014013604
oct23144340342115002
93246362646613338
10675405141416450
11186228791610225
126390205b372282
1322cb357c159773
14bcadad73d3174
155313c8736b285
hex2664703889a02

675405141416450 has 96 divisors (see below), whose sum is σ = 1315189165006080. Its totient is φ = 257565206835200.

The previous prime is 675405141416449. The next prime is 675405141416471. The reversal of 675405141416450 is 54614141504576.

It is a happy number.

It is a super-3 number, since 3×6754051414164503 (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 675405141416392 and 675405141416401.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5181925682 + ... + 5182056018.

It is an arithmetic number, because the mean of its divisors is an integer number (13699887135480).

Almost surely, 2675405141416450 is an apocalyptic number.

675405141416450 is a deficient number, since it is larger than the sum of its proper divisors (639784023589630).

675405141416450 is a wasteful number, since it uses less digits than its factorization.

675405141416450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145172 (or 145167 counting only the distinct ones).

The product of its (nonzero) digits is 8064000, while the sum is 53.

The spelling of 675405141416450 in words is "six hundred seventy-five trillion, four hundred five billion, one hundred forty-one million, four hundred sixteen thousand, four hundred fifty".

Divisors: 1 2 5 10 23 25 46 50 115 230 311 575 622 1150 1555 3110 7153 7775 14306 14489 15550 28978 35765 71530 72445 130337 144890 178825 260674 333247 357650 362225 651685 666494 724450 1303370 1666235 2997751 3258425 3332470 4506079 5995502 6516850 8331175 9012158 14988755 16662350 22530395 29977510 40534807 45060790 74943775 81069614 103639817 112651975 149887550 202674035 207279634 225303950 405348070 518199085 932300561 1013370175 1036398170 1864601122 1888452793 2026740350 2590995425 3776905586 4661502805 5181990850 9323005610 9442263965 18884527930 23307514025 43434414239 46615028050 47211319825 86868828478 94422639650 217172071195 434344142390 587308818623 1085860355975 1174617637246 2171720711950 2936544093115 5873088186230 13508102828329 14682720465575 27016205656658 29365440931150 67540514141645 135081028283290 337702570708225 675405141416450