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133600028160 = 2935106916273
BaseRepresentation
bin111110001101100101…
…1101010011000000000
3110202211211000121212010
41330123023222120000
54142103101400120
6141213000132520
712436506334164
oct1743313523000
9422754017763
10133600028160
1151728807615
1221a86467140
13c7a1994701
146675664ca4
15371de2d7e0
hex1f1b2ea600

133600028160 has 160 divisors (see below), whose sum is σ = 427528395360. Its totient is φ = 35591159808.

The previous prime is 133600028131. The next prime is 133600028173. The reversal of 133600028160 is 61820006331.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 8201784 + ... + 8218056.

It is an arithmetic number, because the mean of its divisors is an integer number (2672052471).

Almost surely, 2133600028160 is an apocalyptic number.

133600028160 is a gapful number since it is divisible by the number (10) 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 133600028160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213764197680).

133600028160 is an abundant number, since it is smaller than the sum of its proper divisors (293928367200).

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

133600028160 is a wasteful number, since it uses less digits than its factorization.

133600028160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17368 (or 17352 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The spelling of 133600028160 in words is "one hundred thirty-three billion, six hundred million, twenty-eight thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1069 1280 1536 1920 2138 2560 3207 3840 4276 5345 6414 7680 8552 10690 12828 16035 16273 17104 21380 25656 32070 32546 34208 42760 48819 51312 64140 65092 68416 81365 85520 97638 102624 128280 130184 136832 162730 171040 195276 205248 244095 256560 260368 273664 325460 342080 390552 410496 488190 513120 520736 547328 650920 684160 781104 820992 976380 1026240 1041472 1301840 1368320 1562208 1641984 1952760 2052480 2082944 2603680 2736640 3124416 3905520 4104960 4165888 5207360 6248832 7811040 8209920 8331776 10414720 12497664 15622080 17395837 20829440 24995328 31244160 34791674 41658880 52187511 62488320 69583348 86979185 104375022 124976640 139166696 173958370 208750044 260937555 278333392 347916740 417500088 521875110 556666784 695833480 835000176 1043750220 1113333568 1391666960 1670000352 2087500440 2226667136 2783333920 3340000704 4175000880 4453334272 5566667840 6680001408 8350001760 8906668544 11133335680 13360002816 16700003520 22266671360 26720005632 33400007040 44533342720 66800014080 133600028160