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20272005761670 = 23451314231352893
BaseRepresentation
bin1001001101111111100011…
…01100111100101010000110
32122202222120221021212210000
410212333301230330222012
510124114031433333140
6111040455245342130
74161414125605125
oct446776154745206
978688527255700
1020272005761670
116506344842783
122334a25867946
13b40846461280
145012554adabc
152524c4a6aa30
hex126ff1b3ca86

20272005761670 has 160 divisors (see below), whose sum is σ = 58743480039552. Its totient is φ = 4986521803008.

The previous prime is 20272005761653. The next prime is 20272005761671. The reversal of 20272005761670 is 7616750027202.

20272005761670 is a `hidden beast` number, since 2 + 0 + 2 + 7 + 2 + 0 + 0 + 576 + 1 + 6 + 70 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20272005761671) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 14307744 + ... + 15660636.

Almost surely, 220272005761670 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20272005761670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29371740019776).

20272005761670 is an abundant number, since it is smaller than the sum of its proper divisors (38471474277882).

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

20272005761670 is a wasteful number, since it uses less digits than its factorization.

20272005761670 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1354348 (or 1354339 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

Adding to 20272005761670 its reverse (7616750027202), we get a palindrome (27888755788872).

The spelling of 20272005761670 in words is "twenty trillion, two hundred seventy-two billion, five million, seven hundred sixty-one thousand, six hundred seventy".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 81 90 117 130 135 162 195 234 270 351 390 405 585 702 810 1053 1170 1423 1755 2106 2846 3510 4269 5265 7115 8538 10530 12807 14230 18499 21345 25614 36998 38421 42690 55497 64035 76842 92495 110994 115263 128070 166491 184990 192105 230526 277485 332982 384210 499473 554970 576315 832455 998946 1152630 1352893 1498419 1664910 2497365 2705786 2996838 4058679 4994730 6764465 7492095 8117358 12176037 13528930 14984190 17587609 20293395 24352074 35175218 36528111 40586790 52762827 60880185 73056222 87938045 105525654 109584333 121760370 158288481 175876090 182640555 219168666 263814135 316576962 365281110 474865443 527628270 547921665 791442405 949730886 1095843330 1424596329 1582884810 1925166739 2374327215 2849192658 3850333478 4748654430 5775500217 7122981645 9625833695 11551000434 14245963290 17326500651 19251667390 25027167607 28877501085 34653001302 50054335214 51979501953 57755002170 75081502821 86632503255 103959003906 125135838035 150163005642 155938505859 173265006510 225244508463 250271676070 259897509765 311877011718 375407514105 450489016926 519795019530 675733525389 750815028210 779692529295 1126222542315 1351467050778 1559385058590 2027200576167 2252445084630 3378667626945 4054401152334 6757335253890 10136002880835 20272005761670