Search a number
-
+
133055056554312 = 233372772131925373
BaseRepresentation
bin11110010000001101001011…
…011000011010100101001000
3122110002221100122220022100010
4132100031023120122211020
5114414433223434214222
61150552352114311520
740011624224022264
oct3620151330324510
9573087318808303
10133055056554312
1139439372761062
1212b0ab652885a0
135932065625179
1424bdc831a90a4
15105b10255a80c
hex79034b61a948

133055056554312 has 128 divisors (see below), whose sum is σ = 342890757331200. Its totient is φ = 42993492968448.

The previous prime is 133055056554293. The next prime is 133055056554313. The reversal of 133055056554312 is 213455650550331.

It is not an unprimeable number, because it can be changed into a prime (133055056554313) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5243949658 + ... + 5243975030.

It is an arithmetic number, because the mean of its divisors is an integer number (2678834041650).

Almost surely, 2133055056554312 is an apocalyptic number.

133055056554312 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 133055056554312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171445378665600).

133055056554312 is an abundant number, since it is smaller than the sum of its proper divisors (209835700776888).

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

133055056554312 is a wasteful number, since it uses less digits than its factorization.

133055056554312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47015 (or 47011 counting only the distinct ones).

The product of its (nonzero) digits is 4050000, while the sum is 48.

The spelling of 133055056554312 in words is "one hundred thirty-three trillion, fifty-five billion, fifty-six million, five hundred fifty-four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 37 74 111 148 222 277 296 444 554 831 888 1108 1662 2216 3324 6648 10249 20498 21319 25373 30747 40996 42638 50746 61494 63957 76119 81992 85276 101492 122988 127914 152238 170552 202984 245976 255828 304476 511656 608952 788803 938801 1577606 1877602 2366409 2816403 3155212 3755204 4732818 5632806 5905363 6310424 7028321 7510408 9465636 11265612 11810726 14056642 17716089 18931272 21084963 22531224 23621452 28113284 35432178 42169926 47242904 56226568 70864356 84339852 141728712 168679704 218498431 260047877 436996862 520095754 540926987 655495293 780143631 873993724 1040191508 1081853974 1310990586 1560287262 1622780961 1747987448 2080383016 2163707948 2621981172 3120574524 3245561922 4327415896 5243962344 6241149048 6491123844 12982247688 20014298519 40028597038 60042895557 80057194076 120085791114 149836775399 160114388152 240171582228 299673550798 449510326197 480343164456 599347101596 899020652394 1198694203192 1798041304788 3596082609576 5543960689763 11087921379526 16631882069289 22175842759052 33263764138578 44351685518104 66527528277156 133055056554312