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204302124220432 = 24716711039902911
BaseRepresentation
bin101110011100111111001011…
…100010101000000000010000
3222210101002111022100100212111
4232130333023202220000100
5203234241222300023212
62002303033350035104
761014225043654630
oct5634771342500020
9883332438310774
10204302124220432
115a108053a82497
121aab7154048a94
1389cc7b9004484
1438643c02586c0
151894578e56ea7
hexb9cfcb8a8010

204302124220432 has 80 divisors (see below), whose sum is σ = 455504797827072. Its totient is φ = 86954838341760.

The previous prime is 204302124220391. The next prime is 204302124220451. The reversal of 204302124220432 is 234022421203402.

It is a happy number.

It is a super-3 number, since 3×2043021242204323 (a number of 44 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 204302124220394 and 204302124220403.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15679057 + ... + 25581967.

Almost surely, 2204302124220432 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 204302124220432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227752398913536).

204302124220432 is an abundant number, since it is smaller than the sum of its proper divisors (251202673606640).

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

204302124220432 is a wasteful number, since it uses less digits than its factorization.

204302124220432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9904196 (or 9904190 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 31.

Adding to 204302124220432 its reverse (234022421203402), we get a palindrome (438324545423834).

The spelling of 204302124220432 in words is "two hundred four trillion, three hundred two billion, one hundred twenty-four million, two hundred twenty thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 56 112 167 334 668 1103 1169 1336 2206 2338 2672 4412 4676 7721 8824 9352 15442 17648 18704 30884 61768 123536 184201 368402 736804 1289407 1473608 2578814 2947216 5157628 9902911 10315256 19805822 20630512 39611644 69320377 79223288 138640754 158446576 277281508 554563016 1109126032 1653786137 3307572274 6615144548 10922910833 11576502959 13230289096 21845821666 23153005918 26460578192 43691643332 46306011836 76460375831 87383286664 92612023672 152920751662 174766573328 185224047344 305841503324 611683006648 1223366013296 1824126109111 3648252218222 7296504436444 12768882763777 14593008872888 25537765527554 29186017745776 51075531055108 102151062110216 204302124220432