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20107763760 = 2435754721881
BaseRepresentation
bin10010101110100001…
…000010000000110000
31220220100022020100010
4102232201002000300
5312140041420020
613123135054520
71311201112650
oct225641020060
956810266303
1020107763760
118589343587
123a92071440
131b85b09186
14d8a738360
157ca455de0
hex4ae842030

20107763760 has 160 divisors (see below), whose sum is σ = 71372431872. Its totient is φ = 4587448320.

The previous prime is 20107763713. The next prime is 20107763789. The reversal of 20107763760 is 6736770102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 908020 + ... + 929900.

Almost surely, 220107763760 is an apocalyptic number.

20107763760 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 20107763760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35686215936).

20107763760 is an abundant number, since it is smaller than the sum of its proper divisors (51264668112).

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

20107763760 is a wasteful number, since it uses less digits than its factorization.

20107763760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22451 (or 22445 counting only the distinct ones).

The product of its (nonzero) digits is 74088, while the sum is 39.

The spelling of 20107763760 in words is "twenty billion, one hundred seven million, seven hundred sixty-three thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 547 560 840 1094 1641 1680 2188 2735 3282 3829 4376 5470 6564 7658 8205 8752 10940 11487 13128 15316 16410 19145 21880 21881 22974 26256 30632 32820 38290 43760 43762 45948 57435 61264 65640 65643 76580 87524 91896 109405 114870 131280 131286 153160 153167 175048 183792 218810 229740 262572 306320 306334 328215 350096 437620 459480 459501 525144 612668 656430 765835 875240 918960 919002 1050288 1225336 1312860 1531670 1750480 1838004 2297505 2450672 2625720 3063340 3676008 4595010 5251440 6126680 7352016 9190020 11968907 12253360 18380040 23937814 35906721 36760080 47875628 59844535 71813442 83782349 95751256 119689070 143626884 167564698 179533605 191502512 239378140 251347047 287253768 335129396 359067210 418911745 478756280 502694094 574507536 670258792 718134420 837823490 957512560 1005388188 1256735235 1340517584 1436268840 1675646980 2010776376 2513470470 2872537680 3351293960 4021552752 5026940940 6702587920 10053881880 20107763760