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133660283352 = 233294712732173
BaseRepresentation
bin111110001111011000…
…1100001000111011000
3110210000000101220102220
41330132301201013120
54142214013031402
6141222551424040
712441140443251
oct1743661410730
9423000356386
10133660283352
11517598221a2
1221aa2685020
13c7b130087b
14667d66bb28
153724381dbc
hex1f1ec611d8

133660283352 has 128 divisors (see below), whose sum is σ = 355818700800. Its totient is φ = 41769036288.

The previous prime is 133660283347. The next prime is 133660283357. The reversal of 133660283352 is 253382066331.

It is an interprime number because it is at equal distance from previous prime (133660283347) and next prime (133660283357).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133660283357) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 4138338 + ... + 4170510.

It is an arithmetic number, because the mean of its divisors is an integer number (2779833600).

Almost surely, 2133660283352 is an apocalyptic number.

133660283352 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 133660283352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177909350400).

133660283352 is an abundant number, since it is smaller than the sum of its proper divisors (222158417448).

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

133660283352 is a wasteful number, since it uses less digits than its factorization.

133660283352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32385 (or 32381 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 42.

The spelling of 133660283352 in words is "one hundred thirty-three billion, six hundred sixty million, two hundred eighty-three thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 24 29 47 58 87 94 116 127 141 174 188 232 254 282 348 376 381 508 564 696 762 1016 1128 1363 1524 2726 3048 3683 4089 5452 5969 7366 8178 10904 11049 11938 14732 16356 17907 22098 23876 29464 32173 32712 35814 44196 47752 64346 71628 88392 96519 128692 143256 173101 193038 257384 346202 386076 519303 692404 772152 933017 1038606 1384808 1512131 1866034 2077212 2799051 3024262 3732068 4085971 4154424 4536393 5598102 6048524 7464136 8171942 9072786 11196204 12097048 12257913 16343884 18145572 22392408 24515826 32687768 36291144 43851799 49031652 87703598 98063304 118493159 131555397 175407196 192040637 236986318 263110794 350814392 355479477 384081274 473972636 526221588 576121911 710958954 768162548 947945272 1052443176 1152243822 1421917908 1536325096 2304487644 2843835816 4608975288 5569178473 11138356946 16707535419 22276713892 33415070838 44553427784 66830141676 133660283352