Search a number
-
+
133730318592 = 2832134464821
BaseRepresentation
bin111110010001011110…
…0101011100100000000
3110210011220012001201200
41330202330223210000
54142334430143332
6141233532501200
712442650644523
oct1744274534400
9423156161650
10133730318592
1151795307762
1221b0201a800
13c7c2982440
146688a9cbba
15372a5b817c
hex1f22f2b900

133730318592 has 108 divisors (see below), whose sum is σ = 415237375644. Its totient is φ = 41147781120.

The previous prime is 133730318573. The next prime is 133730318641. The reversal of 133730318592 is 295813037331.

133730318592 is a `hidden beast` number, since 1 + 337 + 303 + 1 + 8 + 5 + 9 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 73497378816 + 60232939776 = 271104^2 + 245424^2 .

It is a super-2 number, since 2×1337303185922 (a number of 23 digits) contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 2202459 + ... + 2262362.

Almost surely, 2133730318592 is an apocalyptic number.

133730318592 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

133730318592 is an abundant number, since it is smaller than the sum of its proper divisors (281507057052).

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

133730318592 is a wasteful number, since it uses less digits than its factorization.

133730318592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4464856 (or 4464839 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 133730318592 in words is "one hundred thirty-three billion, seven hundred thirty million, three hundred eighteen thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 256 288 312 384 416 468 576 624 768 832 936 1152 1248 1664 1872 2304 2496 3328 3744 4992 7488 9984 14976 29952 4464821 8929642 13394463 17859284 26788926 35718568 40183389 53577852 58042673 71437136 80366778 107155704 116085346 142874272 160733556 174128019 214311408 232170692 285748544 321467112 348256038 428622816 464341384 522384057 571497088 642934224 696512076 857245632 928682768 1044768114 1142994176 1285868448 1393024152 1714491264 1857365536 2089536228 2571736896 2786048304 3428982528 3714731072 4179072456 5143473792 5572096608 7429462144 8358144912 10286947584 11144193216 14858924288 16716289824 22288386432 33432579648 44576772864 66865159296 133730318592