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20133542320 = 2452959147089
BaseRepresentation
bin10010110000000011…
…010111100110110000
31220222010210220212121
4102300003113212300
5312213141323240
613125455404024
71311633200053
oct226003274660
956863726777
1020133542320
1185a1950381
123a9a823614
131b8b263868
14d8dd28a9a
157cc84904a
hex4b00d79b0

20133542320 has 80 divisors (see below), whose sum is σ = 49245732000. Its totient is φ = 7643869184.

The previous prime is 20133542257. The next prime is 20133542339. The reversal of 20133542320 is 2324533102.

It is a tau number, because it is divible by the number of its divisors (80).

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, 63336 + ... + 210424.

It is an arithmetic number, because the mean of its divisors is an integer number (615571650).

Almost surely, 220133542320 is an apocalyptic number.

20133542320 is a gapful number since it is divisible by the number (20) 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 20133542320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24622866000).

20133542320 is an abundant number, since it is smaller than the sum of its proper divisors (29112189680).

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

20133542320 is a wasteful number, since it uses less digits than its factorization.

20133542320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147190 (or 147184 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

The spelling of 20133542320 in words is "twenty billion, one hundred thirty-three million, five hundred forty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 59 80 116 118 145 232 236 290 295 464 472 580 590 944 1160 1180 1711 2320 2360 3422 4720 6844 8555 13688 17110 27376 34220 68440 136880 147089 294178 588356 735445 1176712 1470890 2353424 2941780 4265581 5883560 8531162 8678251 11767120 17062324 17356502 21327905 34124648 34713004 42655810 43391255 68249296 69426008 85311620 86782510 138852016 170623240 173565020 251669279 341246480 347130040 503338558 694260080 1006677116 1258346395 2013354232 2516692790 4026708464 5033385580 10066771160 20133542320