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20337433380 = 223251116936067
BaseRepresentation
bin10010111100001101…
…001001101100100100
31221111100110122211100
4102330031021230210
5313122340332010
613202021440100
71316660221455
oct227415115444
957440418740
1020337433380
118696a50790
123b36b70030
131bc1580c64
14dad04112c
157e06c12c0
hex4bc349b24

20337433380 has 144 divisors (see below), whose sum is σ = 67349265984. Its totient is φ = 4926562560.

The previous prime is 20337433331. The next prime is 20337433411. The reversal of 20337433380 is 8333473302.

20337433380 is a `hidden beast` number, since 203 + 3 + 74 + 3 + 3 + 380 = 666.

It is a super-2 number, since 2×203374333802 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3349107 + ... + 3355173.

It is an arithmetic number, because the mean of its divisors is an integer number (467703236).

Almost surely, 220337433380 is an apocalyptic number.

20337433380 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 20337433380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33674632992).

20337433380 is an abundant number, since it is smaller than the sum of its proper divisors (47011832604).

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

20337433380 is a wasteful number, since it uses less digits than its factorization.

20337433380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7786 (or 7781 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 36.

The spelling of 20337433380 in words is "twenty billion, three hundred thirty-seven million, four hundred thirty-three thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1693 1980 3386 5079 6067 6772 8465 10158 12134 15237 16930 18201 18623 20316 24268 25395 30335 30474 33860 36402 37246 50790 54603 55869 60670 60948 66737 72804 74492 76185 91005 93115 101580 109206 111738 121340 133474 152370 167607 182010 186230 200211 218412 223476 266948 273015 279345 304740 333685 335214 364020 372460 400422 546030 558690 600633 667370 670428 800844 838035 1001055 1092060 1117380 1201266 1334740 1676070 2002110 2402532 3003165 3352140 4004220 6006330 10271431 12012660 20542862 30814293 41085724 51357155 61628586 92442879 102714310 112985741 123257172 154071465 184885758 205428620 225971482 308142930 338957223 369771516 451942964 462214395 564928705 616285860 677914446 924428790 1016871669 1129857410 1355828892 1694786115 1848857580 2033743338 2259714820 3389572230 4067486676 5084358345 6779144460 10168716690 20337433380