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20031910272 = 2732111580801
BaseRepresentation
bin10010101001111111…
…101011000110000000
31220201001120110220200
4102221333223012000
5312011132112042
613111425205200
71306260266523
oct225177530600
956631513820
1020031910272
11854a544750
123a70790800
131b7319b25a
14d80630bba
157c3970c4c
hex4a9feb180

20031910272 has 96 divisors (see below), whose sum is σ = 62884303560. Its totient is φ = 6070272000.

The previous prime is 20031910267. The next prime is 20031910289. The reversal of 20031910272 is 27201913002.

20031910272 is a `hidden beast` number, since 200 + 3 + 191 + 0 + 272 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×200319102722 (a number of 21 digits) contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 777729 + ... + 803072.

Almost surely, 220031910272 is an apocalyptic number.

20031910272 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

20031910272 is an abundant number, since it is smaller than the sum of its proper divisors (42852393288).

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

20031910272 is a wasteful number, since it uses less digits than its factorization.

20031910272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1580832 (or 1580817 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The spelling of 20031910272 in words is "twenty billion, thirty-one million, nine hundred ten thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 264 288 352 384 396 528 576 704 792 1056 1152 1408 1584 2112 3168 4224 6336 12672 1580801 3161602 4742403 6323204 9484806 12646408 14227209 17388811 18969612 25292816 28454418 34777622 37939224 50585632 52166433 56908836 69555244 75878448 101171264 104332866 113817672 139110488 151756896 156499299 202342528 208665732 227635344 278220976 303513792 312998598 417331464 455270688 556441952 607027584 625997196 834662928 910541376 1112883904 1251994392 1669325856 1821082752 2225767808 2503988784 3338651712 5007977568 6677303424 10015955136 20031910272