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4114054674648 = 2332234752858139
BaseRepresentation
bin111011110111100000110…
…001000111100011011000
3112120022002112200111021100
4323313200301013203120
51014401040444042043
612425545353311400
7603142052514342
oct73674061074330
915508075614240
104114054674648
111346840679866
125653b8705560
1323ac5234b0b9
1410319ac2a292
1572039027cd3
hex3bde0c478d8

4114054674648 has 96 divisors (see below), whose sum is σ = 11874052569600. Its totient is φ = 1283818455744.

The previous prime is 4114054674641. The next prime is 4114054674659. The reversal of 4114054674648 is 8464764504114.

4114054674648 is a `hidden beast` number, since 4 + 1 + 14 + 0 + 546 + 7 + 46 + 48 = 666.

It is a super-2 number, since 2×41140546746482 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4114054674594 and 4114054674603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4114054674641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26351238 + ... + 26506901.

It is an arithmetic number, because the mean of its divisors is an integer number (123688047600).

Almost surely, 24114054674648 is an apocalyptic number.

It is an amenable number.

4114054674648 is an abundant number, since it is smaller than the sum of its proper divisors (7759997894952).

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

4114054674648 is a wasteful number, since it uses less digits than its factorization.

4114054674648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52858221 (or 52858214 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 54.

The spelling of 4114054674648 in words is "four trillion, one hundred fourteen billion, fifty-four million, six hundred seventy-four thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 47 69 72 92 94 138 141 184 188 207 276 282 376 414 423 552 564 828 846 1081 1128 1656 1692 2162 3243 3384 4324 6486 8648 9729 12972 19458 25944 38916 77832 52858139 105716278 158574417 211432556 317148834 422865112 475723251 634297668 951446502 1215737197 1268595336 1902893004 2431474394 2484332533 3647211591 3805786008 4862948788 4968665066 7294423182 7452997599 9725897576 9937330132 10941634773 14588846364 14905995198 19874660264 21883269546 22358992797 29177692728 29811990396 43766539092 44717985594 57139648259 59623980792 87533078184 89435971188 114279296518 171418944777 178871942376 228558593036 342837889554 457117186072 514256834331 685675779108 1028513668662 1371351558216 2057027337324 4114054674648