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20352150452000 = 255346491094437
BaseRepresentation
bin1001010000010100110101…
…01100101011011100100000
32200001122110100122222121002
410220022122230223130200
510131422201003431000
6111141352052251132
74200252155333333
oct450123254533440
980048410588532
1020352150452000
116537331394844
122348472010aa8
13b48279556263
1450509955061a
15254615aba8d5
hex12829ab2b720

20352150452000 has 96 divisors (see below), whose sum is σ = 50016035487600. Its totient is φ = 8139101644800.

The previous prime is 20352150451993. The next prime is 20352150452017. The reversal of 20352150452000 is 25405125302.

It can be written as a sum of positive squares in 8 ways, for example, as 9238754779024 + 11113395672976 = 3039532^2 + 3333676^2 .

It is an unprimeable number.

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, 18048782 + ... + 19143218.

Almost surely, 220352150452000 is an apocalyptic number.

20352150452000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20352150452000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25008017743800).

20352150452000 is an abundant number, since it is smaller than the sum of its proper divisors (29663885035600).

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

20352150452000 is a wasteful number, since it uses less digits than its factorization.

20352150452000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1099111 (or 1099093 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 29.

Adding to 20352150452000 its reverse (25405125302), we get a palindrome (20377555577302).

The spelling of 20352150452000 in words is "twenty trillion, three hundred fifty-two billion, one hundred fifty million, four hundred fifty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 4000 4649 9298 18596 23245 37192 46490 74384 92980 116225 148768 185960 232450 371920 464900 581125 743840 929800 1094437 1162250 1859600 2188874 2324500 3719200 4377748 4649000 5472185 8755496 9298000 10944370 17510992 18596000 21888740 27360925 35021984 43777480 54721850 87554960 109443700 136804625 175109920 218887400 273609250 437774800 547218500 875549600 1094437000 2188874000 4377748000 5088037613 10176075226 20352150452 25440188065 40704300904 50880376130 81408601808 101760752260 127200940325 162817203616 203521504520 254401880650 407043009040 508803761300 636004701625 814086018080 1017607522600 1272009403250 2035215045200 2544018806500 4070430090400 5088037613000 10176075226000 20352150452000