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20217515682192 = 24331113120239293
BaseRepresentation
bin1001001100011010000011…
…10101110010100110010000
32122120202221102121001001020
410212031001311302212100
510122220433003312232
6110555444250035440
74154444612560503
oct446150165624620
978522842531036
1020217515682192
116495222595544
122326359118b80
13b386713ac3aa
144dc7666d713a
15250d85de6e2c
hex126341d72990

20217515682192 has 80 divisors (see below), whose sum is σ = 54390485119488. Its totient is φ = 6464064337920.

The previous prime is 20217515682179. The next prime is 20217515682197. The reversal of 20217515682192 is 29128651571202.

It is a super-2 number, since 2×202175156821922 (a number of 27 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (20217515682197) 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 15 ways as a sum of consecutive naturals, for example, 59951503 + ... + 60287790.

Almost surely, 220217515682192 is an apocalyptic number.

It is an amenable number.

20217515682192 is an abundant number, since it is smaller than the sum of its proper divisors (34172969437296).

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

20217515682192 is a wasteful number, since it uses less digits than its factorization.

20217515682192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120239448 (or 120239442 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 51.

The spelling of 20217515682192 in words is "twenty trillion, two hundred seventeen billion, five hundred fifteen million, six hundred eighty-two thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 113 124 186 226 248 339 372 452 496 678 744 904 1356 1488 1808 2712 3503 5424 7006 10509 14012 21018 28024 42036 56048 84072 168144 120239293 240478586 360717879 480957172 721435758 961914344 1442871516 1923828688 2885743032 3727418083 5771486064 7454836166 11182254249 13587040109 14909672332 22364508498 27174080218 29819344664 40761120327 44729016996 54348160436 59638689328 81522240654 89458033992 108696320872 163044481308 178916067984 217392641744 326088962616 421198243379 652177925232 842396486758 1263594730137 1684792973516 2527189460274 3369585947032 5054378920548 6739171894064 10108757841096 20217515682192