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20353253256 = 23327167241817
BaseRepresentation
bin10010111101001001…
…011111111110001000
31221112110020101121200
4102331021133332020
5313140413101011
613203344504200
71320241540530
oct227511377610
957473211550
1020353253256
1186a4976466
123b4031b060
131bc492c82b
14db119c4c0
157e1c98856
hex4bd25ff88

20353253256 has 96 divisors (see below), whose sum is σ = 63375661440. Its totient is φ = 5780369664.

The previous prime is 20353253231. The next prime is 20353253287. The reversal of 20353253256 is 65235235302.

20353253256 is a `hidden beast` number, since 2 + 0 + 3 + 5 + 325 + 325 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 20353253256.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36741 + ... + 205076.

It is an arithmetic number, because the mean of its divisors is an integer number (660163140).

Almost surely, 220353253256 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 20353253256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31687830720).

20353253256 is an abundant number, since it is smaller than the sum of its proper divisors (43022408184).

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

20353253256 is a wasteful number, since it uses less digits than its factorization.

20353253256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242003 (or 241996 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 36.

Adding to 20353253256 its reverse (65235235302), we get a palindrome (85588488558).

The spelling of 20353253256 in words is "twenty billion, three hundred fifty-three million, two hundred fifty-three thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 167 168 252 334 501 504 668 1002 1169 1336 1503 2004 2338 3006 3507 4008 4676 6012 7014 9352 10521 12024 14028 21042 28056 42084 84168 241817 483634 725451 967268 1450902 1692719 1934536 2176353 2901804 3385438 4352706 5078157 5803608 6770876 8705412 10156314 13541752 15234471 17410824 20312628 30468942 40383439 40625256 60937884 80766878 121150317 121875768 161533756 242300634 282684073 323067512 363450951 484601268 565368146 726901902 848052219 969202536 1130736292 1453803804 1696104438 2261472584 2544156657 2907607608 3392208876 5088313314 6784417752 10176626628 20353253256