Search a number
-
+
147834068448 = 253111011386083
BaseRepresentation
bin1000100110101110011…
…0001101110111100000
3112010120210212210100110
42021223212031313200
54410231010142243
6151525233051320
713452315564003
oct2115346156740
9463523783313
10147834068448
1157772528780
12247993b6b40
1310c2c918861
147225c6153a
153ca3891e33
hex226b98dde0

147834068448 has 96 divisors (see below), whose sum is σ = 427534837632. Its totient is φ = 44354624000.

The previous prime is 147834068401. The next prime is 147834068477. The reversal of 147834068448 is 844860438741.

147834068448 is digitally balanced in base 2, 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 congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 586386 + ... + 799697.

It is an arithmetic number, because the mean of its divisors is an integer number (4453487892).

Almost surely, 2147834068448 is an apocalyptic number.

It is an amenable number.

147834068448 is an abundant number, since it is smaller than the sum of its proper divisors (279700769184).

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

147834068448 is a wasteful number, since it uses less digits than its factorization.

147834068448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1386208 (or 1386200 counting only the distinct ones).

The product of its (nonzero) digits is 16515072, while the sum is 57.

The spelling of 147834068448 in words is "one hundred forty-seven billion, eight hundred thirty-four million, sixty-eight thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 101 132 176 202 264 303 352 404 528 606 808 1056 1111 1212 1616 2222 2424 3232 3333 4444 4848 6666 8888 9696 13332 17776 26664 35552 53328 106656 1386083 2772166 4158249 5544332 8316498 11088664 15246913 16632996 22177328 30493826 33265992 44354656 45740739 60987652 66531984 91481478 121975304 133063968 139994383 182962956 243950608 279988766 365925912 419983149 487901216 559977532 731851824 839966298 1119955064 1463703648 1539938213 1679932596 2239910128 3079876426 3359865192 4479820256 4619814639 6159752852 6719730384 9239629278 12319505704 13439460768 18479258556 24639011408 36958517112 49278022816 73917034224 147834068448