Search a number
-
+
104063005152 = 2533294153217
BaseRepresentation
bin110000011101010100…
…0110111000111100000
3100221121022220101112000
41200322220313013200
53201110112131102
6115450023204000
710342530643401
oct1407250670740
9327538811460
10104063005152
1140150942aa7
12182025a6600
139a754c0bc2
1450728d59a8
152a90ca801c
hex183aa371e0

104063005152 has 96 divisors (see below), whose sum is σ = 313983280800. Its totient is φ = 33491533824.

The previous prime is 104063005147. The next prime is 104063005213. The reversal of 104063005152 is 251500360401.

104063005152 is a `hidden beast` number, since 10 + 4 + 0 + 630 + 0 + 5 + 15 + 2 = 666.

104063005152 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2051553 + ... + 2101664.

It is an arithmetic number, because the mean of its divisors is an integer number (3270659175).

Almost surely, 2104063005152 is an apocalyptic number.

104063005152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

104063005152 is an abundant number, since it is smaller than the sum of its proper divisors (209920275648).

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

104063005152 is a wasteful number, since it uses less digits than its factorization.

104063005152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4153265 (or 4153251 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 104063005152 its reverse (251500360401), we get a palindrome (355563365553).

The spelling of 104063005152 in words is "one hundred four billion, sixty-three million, five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 72 87 96 108 116 144 174 216 232 261 288 348 432 464 522 696 783 864 928 1044 1392 1566 2088 2784 3132 4176 6264 8352 12528 25056 4153217 8306434 12459651 16612868 24919302 33225736 37378953 49838604 66451472 74757906 99677208 112136859 120443293 132902944 149515812 199354416 224273718 240886586 299031624 361329879 398708832 448547436 481773172 598063248 722659758 897094872 963546344 1083989637 1196126496 1445319516 1794189744 1927092688 2167979274 2890639032 3251968911 3588379488 3854185376 4335958548 5781278064 6503937822 8671917096 11562556128 13007875644 17343834192 26015751288 34687668384 52031502576 104063005152