Search a number
-
+
105421948196670 = 23257167336425709
BaseRepresentation
bin10111111110000101110101…
…110001100001011100111110
3111211021020110211101221100200
4113332011311301201130332
5102304213122214243140
61012114101401304330
731130325103326120
oct2776056561413476
9454236424357320
10105421948196670
113065521945a046
12b9a75911950a6
1346a9329a30361
141c06641695210
15c2c4006d4030
hex5fe175c6173e

105421948196670 has 48 divisors (see below), whose sum is σ = 313253788929120. Its totient is φ = 24096445301952.

The previous prime is 105421948196651. The next prime is 105421948196699. The reversal of 105421948196670 is 76691849124501.

105421948196670 is a `hidden beast` number, since 1 + 0 + 5 + 4 + 2 + 1 + 9 + 481 + 96 + 67 + 0 = 666.

It is a super-2 number, since 2×1054219481966702 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 105421948196598 and 105421948196607.

It is a congruent number.

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, 83668212225 + ... + 83668213484.

It is an arithmetic number, because the mean of its divisors is an integer number (6526120602690).

Almost surely, 2105421948196670 is an apocalyptic number.

105421948196670 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105421948196670 is an abundant number, since it is smaller than the sum of its proper divisors (207831840732450).

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

105421948196670 is a wasteful number, since it uses less digits than its factorization.

105421948196670 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167336425729 (or 167336425726 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 105421948196670 in words is "one hundred five trillion, four hundred twenty-one billion, nine hundred forty-eight million, one hundred ninety-six thousand, six hundred seventy".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 630 167336425709 334672851418 502009277127 836682128545 1004018554254 1171354979963 1506027831381 1673364257090 2342709959926 2510046385635 3012055662762 3514064939889 5020092771270 5856774899815 7028129879778 7530139156905 10542194819667 11713549799630 15060278313810 17570324699445 21084389639334 35140649398890 52710974098335 105421948196670