Search a number
-
+
163808381952 = 21032139127873
BaseRepresentation
bin1001100010001110111…
…1011000110000000000
3120122211002100222220100
42120203233120300000
510140434421210302
6203130314042400
714556216162405
oct2304357306000
9518732328810
10163808381952
116351a619966
12278b7119400
13125a727a277
147cdd6282ac
1543daeb1d1c
hex2623bd8c00

163808381952 has 132 divisors (see below), whose sum is σ = 476399701960. Its totient is φ = 54209544192.

The previous prime is 163808381833. The next prime is 163808382007. The reversal of 163808381952 is 259183808361.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1217088 + ... + 1344960.

Almost surely, 2163808381952 is an apocalyptic number.

163808381952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 163808381952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238199850980).

163808381952 is an abundant number, since it is smaller than the sum of its proper divisors (312591320008).

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

163808381952 is a wasteful number, since it uses less digits than its factorization.

163808381952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128038 (or 128017 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 163808381952 in words is "one hundred sixty-three billion, eight hundred eight million, three hundred eighty-one thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 139 144 192 256 278 288 384 417 512 556 576 768 834 1024 1112 1152 1251 1536 1668 2224 2304 2502 3072 3336 4448 4608 5004 6672 8896 9216 10008 13344 17792 20016 26688 35584 40032 53376 71168 80064 106752 127873 142336 160128 213504 255746 320256 383619 427008 511492 640512 767238 1022984 1150857 1281024 1534476 2045968 2301714 3068952 4091936 4603428 6137904 8183872 9206856 12275808 16367744 17774347 18413712 24551616 32735488 35548694 36827424 49103232 53323041 65470976 71097388 73654848 98206464 106646082 130941952 142194776 147309696 159969123 196412928 213292164 284389552 294619392 319938246 392825856 426584328 568779104 589238784 639876492 853168656 1137558208 1178477568 1279752984 1706337312 2275116416 2559505968 3412674624 4550232832 5119011936 6825349248 9100465664 10238023872 13650698496 18200931328 20476047744 27301396992 40952095488 54602793984 81904190976 163808381952