Search a number
-
+
45540026640 = 24325626310099
BaseRepresentation
bin101010011010011001…
…011010100100010000
311100112202121001100100
4222122121122210100
51221231221323030
632530520452400
73201344560653
oct523231324420
9140482531310
1045540026640
111834a181059
1289ab31a100
1343a9a6bc34
1422c028389a
1512b8061360
hexa9a65a910

45540026640 has 120 divisors (see below), whose sum is σ = 152978155200. Its totient is φ = 12140865792.

The previous prime is 45540026603. The next prime is 45540026699. The reversal of 45540026640 is 4662004554.

45540026640 is a `hidden beast` number, since 4 + 5 + 5 + 4 + 0 + 0 + 2 + 6 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-3 number, since 3×455400266403 (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 45540026595 and 45540026604.

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, 4504311 + ... + 4514409.

It is an arithmetic number, because the mean of its divisors is an integer number (1274817960).

Almost surely, 245540026640 is an apocalyptic number.

45540026640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45540026640 is an abundant number, since it is smaller than the sum of its proper divisors (107438128560).

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

45540026640 is a wasteful number, since it uses less digits than its factorization.

45540026640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16381 (or 16372 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 45540026640 in words is "forty-five billion, five hundred forty million, twenty-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 6263 10099 12526 18789 20198 25052 30297 31315 37578 40396 50104 50495 56367 60594 62630 75156 80792 90891 93945 100208 100990 112734 121188 125260 150312 151485 161584 181782 187890 201980 225468 242376 250520 281835 300624 302970 363564 375780 403960 450936 454455 484752 501040 563670 605940 727128 751560 807920 901872 908910 1127340 1211880 1454256 1503120 1817820 2254680 2423760 3635640 4509360 7271280 63250037 126500074 189750111 253000148 316250185 379500222 506000296 569250333 632500370 759000444 948750555 1012000592 1138500666 1265000740 1518000888 1897501110 2277001332 2530001480 2846251665 3036001776 3795002220 4554002664 5060002960 5692503330 7590004440 9108005328 11385006660 15180008880 22770013320 45540026640