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20545623072 = 25321325121863
BaseRepresentation
bin10011001000100111…
…010101010000100000
31222000212012210101200
4103020213111100200
5314034134414242
613234420001200
71325065625502
oct231047252040
958025183350
1020545623072
118793517787
123b94830200
131c25744b20
14dcc955d72
15803ae704c
hex4c89d5420

20545623072 has 144 divisors (see below), whose sum is σ = 63174541248. Its totient is φ = 6296256000.

The previous prime is 20545623013. The next prime is 20545623143. The reversal of 20545623072 is 27032654502.

20545623072 is a `hidden beast` number, since 20 + 5 + 4 + 5 + 623 + 0 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 928813 + ... + 950675.

It is an arithmetic number, because the mean of its divisors is an integer number (438712092).

Almost surely, 220545623072 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 20545623072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31587270624).

20545623072 is an abundant number, since it is smaller than the sum of its proper divisors (42628918176).

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

20545623072 is a wasteful number, since it uses less digits than its factorization.

20545623072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22143 (or 22132 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The spelling of 20545623072 in words is "twenty billion, five hundred forty-five million, six hundred twenty-three thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 251 288 312 416 468 502 624 753 936 1004 1248 1506 1872 2008 2259 3012 3263 3744 4016 4518 6024 6526 8032 9036 9789 12048 13052 18072 19578 21863 24096 26104 29367 36144 39156 43726 52208 58734 65589 72288 78312 87452 104416 117468 131178 156624 174904 196767 234936 262356 284219 313248 349808 393534 469872 524712 568438 699616 787068 852657 939744 1049424 1136876 1574136 1705314 2098848 2273752 2557971 3148272 3410628 4547504 5115942 5487613 6296544 6821256 9095008 10231884 10975226 13642512 16462839 20463768 21950452 27285024 32925678 40927536 43900904 49388517 65851356 71338969 81855072 87801808 98777034 131702712 142677938 175603616 197554068 214016907 263405424 285355876 395108136 428033814 526810848 570711752 642050721 790216272 856067628 1141423504 1284101442 1580432544 1712135256 2282847008 2568202884 3424270512 5136405768 6848541024 10272811536 20545623072