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20284264068 = 22317417193373
BaseRepresentation
bin10010111001000010…
…010100111010000100
31221100122102101020120
4102321002110322010
5313020232422233
613152442101540
71315443254055
oct227102247204
957318371216
1020284264068
118669a35902
123b211aa8b0
131bb3556123
14da5d6072c
157dabbc4b3
hex4b9094e84

20284264068 has 96 divisors (see below), whose sum is σ = 51422999040. Its totient is φ = 6198005760.

The previous prime is 20284264067. The next prime is 20284264079. The reversal of 20284264068 is 86046248202.

It is a super-2 number, since 2×202842640682 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20284264067) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6012030 + ... + 6015402.

It is an arithmetic number, because the mean of its divisors is an integer number (535656240).

Almost surely, 220284264068 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 20284264068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25711499520).

20284264068 is an abundant number, since it is smaller than the sum of its proper divisors (31138734972).

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

20284264068 is a wasteful number, since it uses less digits than its factorization.

20284264068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4157 (or 4155 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 42.

The spelling of 20284264068 in words is "twenty billion, two hundred eighty-four million, two hundred sixty-four thousand, sixty-eight".

Divisors: 1 2 3 4 6 12 17 34 41 51 68 82 102 123 164 204 246 492 697 719 1394 1438 2091 2157 2788 2876 3373 4182 4314 6746 8364 8628 10119 12223 13492 20238 24446 29479 36669 40476 48892 57341 58958 73338 88437 114682 117916 138293 146676 172023 176874 229364 276586 344046 353748 414879 501143 553172 688092 829758 1002286 1503429 1659516 2004572 2350981 2425187 3006858 4701962 4850374 6013716 7052943 7275561 9403924 9700748 14105886 14551122 28211772 29102244 41228179 82456358 99432667 123684537 164912716 198865334 247369074 298298001 397730668 494738148 596596002 1193192004 1690355339 3380710678 5071066017 6761421356 10142132034 20284264068