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133332046080 = 2835105133037
BaseRepresentation
bin111110000101100110…
…1011001000100000000
3110202011010202201112220
41330023031121010000
54141031000433310
6141130224251040
712430043456262
oct1741315310400
9422133681486
10133332046080
1151600511722
1221a10770a80
13c75b2c722c
14664bc27b32
153705646670
hex1f0b359100

133332046080 has 144 divisors (see below), whose sum is σ = 426247289664. Its totient is φ = 35520307200.

The previous prime is 133332046079. The next prime is 133332046093. The reversal of 133332046080 is 80640233331.

133332046080 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4019322 + ... + 4052358.

Almost surely, 2133332046080 is an apocalyptic number.

133332046080 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 133332046080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213123644832).

133332046080 is an abundant number, since it is smaller than the sum of its proper divisors (292915243584).

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

133332046080 is a wasteful number, since it uses less digits than its factorization.

133332046080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34112 (or 34098 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 33.

The spelling of 133332046080 in words is "one hundred thirty-three billion, three hundred thirty-two million, forty-six thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 640 768 960 1051 1280 1920 2102 3153 3840 4204 5255 6306 8408 10510 12612 15765 16816 21020 25224 31530 33037 33632 42040 50448 63060 66074 67264 84080 99111 100896 126120 132148 134528 165185 168160 198222 201792 252240 264296 269056 330370 336320 396444 403584 495555 504480 528592 660740 672640 792888 807168 991110 1008960 1057184 1321480 1345280 1585776 1982220 2017920 2114368 2642960 3171552 3964440 4035840 4228736 5285920 6343104 7928880 8457472 10571840 12686208 15857760 21143680 25372416 31715520 34721887 42287360 63431040 69443774 104165661 126862080 138887548 173609435 208331322 277775096 347218870 416662644 520828305 555550192 694437740 833325288 1041656610 1111100384 1388875480 1666650576 2083313220 2222200768 2777750960 3333301152 4166626440 4444401536 5555501920 6666602304 8333252880 8888803072 11111003840 13333204608 16666505760 22222007680 26666409216 33333011520 44444015360 66666023040 133332046080