Search a number
-
+
35326050040224 = 253340886631991
BaseRepresentation
bin10000000100000111111001…
…01010011111100110100000
311122002010201011111001212000
420002003330222133212200
514112240222302241344
6203044321403404000
710304136310642116
oct1002037452374640
9148063634431760
1035326050040224
111028a76a332679
123b66512823600
1316933032762a8
148a1b0b873ab6
15413da1b44a69
hex2020fca9f9a0

35326050040224 has 48 divisors (see below), whose sum is σ = 103034312619840. Its totient is φ = 11775350013120.

The previous prime is 35326050040217. The next prime is 35326050040249. The reversal of 35326050040224 is 42204005062353.

35326050040224 is a `hidden beast` number, since 3 + 5 + 3 + 2 + 605 + 0 + 0 + 40 + 2 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×353260500402242 (a number of 28 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20443315132 + ... + 20443316859.

It is an arithmetic number, because the mean of its divisors is an integer number (2146548179580).

Almost surely, 235326050040224 is an apocalyptic number.

It is an amenable number.

35326050040224 is an abundant number, since it is smaller than the sum of its proper divisors (67708262579616).

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

35326050040224 is a wasteful number, since it uses less digits than its factorization.

35326050040224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40886632010 (or 40886631996 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

The spelling of 35326050040224 in words is "thirty-five trillion, three hundred twenty-six billion, fifty million, forty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 40886631991 81773263982 122659895973 163546527964 245319791946 327093055928 367979687919 490639583892 654186111856 735959375838 981279167784 1103939063757 1308372223712 1471918751676 1962558335568 2207878127514 2943837503352 3925116671136 4415756255028 5887675006704 8831512510056 11775350013408 17663025020112 35326050040224