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20670375559776 = 253895897410257
BaseRepresentation
bin1001011001100101100100…
…11001001000001001100000
32201012001212000100102011220
410230302302121020021200
510202130412120403101
6111543501152535040
74232246114200005
oct454626231101140
981161760312156
1020670375559776
11664a291145288
12239a082b51480
13b6c2921209b7
14516646d598ac
1525ca3d29b636
hex12ccb2648260

20670375559776 has 96 divisors (see below), whose sum is σ = 54878834193120. Its totient is φ = 6811536162816.

The previous prime is 20670375559763. The next prime is 20670375559787. The reversal of 20670375559776 is 67795557307602.

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

It is a self number, because there is not a number n which added to its sum of digits gives 20670375559776.

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 15 ways as a sum of consecutive naturals, for example, 50178840 + ... + 50589096.

It is an arithmetic number, because the mean of its divisors is an integer number (571654522845).

Almost surely, 220670375559776 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20670375559776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27439417096560).

20670375559776 is an abundant number, since it is smaller than the sum of its proper divisors (34208458633344).

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

20670375559776 is a wasteful number, since it uses less digits than its factorization.

20670375559776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416256 (or 416248 counting only the distinct ones).

The product of its (nonzero) digits is 583443000, while the sum is 69.

The spelling of 20670375559776 in words is "twenty trillion, six hundred seventy billion, three hundred seventy-five million, five hundred fifty-nine thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 89 96 178 267 356 534 712 1068 1424 2136 2848 4272 5897 8544 11794 17691 23588 35382 47176 70764 94352 141528 188704 283056 410257 524833 566112 820514 1049666 1230771 1574499 1641028 2099332 2461542 3148998 3282056 4198664 4923084 6297996 6564112 8397328 9846168 12595992 13128224 16794656 19692336 25191984 36512873 39384672 50383968 73025746 109538619 146051492 219077238 292102984 438154476 584205968 876308952 1168411936 1752617904 2419285529 3505235808 4838571058 7257856587 9677142116 14515713174 19354284232 29031426348 38708568464 58062852696 77417136928 116125705392 215316412081 232251410784 430632824162 645949236243 861265648324 1291898472486 1722531296648 2583796944972 3445062593296 5167593889944 6890125186592 10335187779888 20670375559776