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20250916933968 = 24327109184313719
BaseRepresentation
bin1001001101011000010001…
…01101011101000101010000
32122200222011012221102201100
410212230020231131011100
510123242334213341333
6111023050502504400
74160036412536340
oct446541055350520
978628135842640
1020250916933968
1164a840273a356
12233091b135100
13b3b865317cb6
14500214756d20
15251b8d424213
hex126b08b5d150

20250916933968 has 120 divisors (see below), whose sum is σ = 65365017660800. Its totient is φ = 5732893884672.

The previous prime is 20250916933963. The next prime is 20250916933997. The reversal of 20250916933968 is 86933961905202.

20250916933968 is a `hidden beast` number, since 2 + 0 + 2 + 509 + 1 + 6 + 9 + 33 + 96 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20250916933963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 92046988 + ... + 92266731.

Almost surely, 220250916933968 is an apocalyptic number.

20250916933968 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

20250916933968 is an abundant number, since it is smaller than the sum of its proper divisors (45114100726832).

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

20250916933968 is a wasteful number, since it uses less digits than its factorization.

20250916933968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184313849 (or 184313840 counting only the distinct ones).

The product of its (nonzero) digits is 37791360, while the sum is 63.

The spelling of 20250916933968 in words is "twenty trillion, two hundred fifty billion, nine hundred sixteen million, nine hundred thirty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 109 112 126 144 168 218 252 327 336 436 504 654 763 872 981 1008 1308 1526 1744 1962 2289 2616 3052 3924 4578 5232 6104 6867 7848 9156 12208 13734 15696 18312 27468 36624 54936 109872 184313719 368627438 552941157 737254876 1105882314 1290196033 1474509752 1658823471 2211764628 2580392066 2949019504 3317646942 3870588099 4423529256 5160784132 6635293884 7741176198 8847058512 10321568264 11611764297 13270587768 15482352396 20090195371 20643136528 23223528594 26541175536 30964704792 40180390742 46447057188 60270586113 61929409584 80360781484 92894114376 120541172226 140631367597 160721562968 180811758339 185788228752 241082344452 281262735194 321443125936 361623516678 421894102791 482164688904 562525470388 723247033356 843788205582 964329377808 1125050940776 1265682308373 1446494066712 1687576411164 2250101881552 2531364616746 2892988133424 3375152822328 5062729233492 6750305644656 10125458466984 20250916933968