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427828074432 = 26311427347407
BaseRepresentation
bin1100011100111001000…
…10100101011111000000
31111220022002000000121020
412032130202211133000
524002142441340212
6524312544225440
742623656426233
oct6163442453700
91456262000536
10427828074432
11155493881620
126aaba90b280
1331461a51485
14169c7d9b41a
15b1de9edd8c
hex639c8a57c0

427828074432 has 112 divisors (see below), whose sum is σ = 1235182444032. Its totient is φ = 129611796480.

The previous prime is 427828074383. The next prime is 427828074449. The reversal of 427828074432 is 234470828724.

It is a super-2 number, since 2×4278280744322 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

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, 9000873 + ... + 9048279.

Almost surely, 2427828074432 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 427828074432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617591222016).

427828074432 is an abundant number, since it is smaller than the sum of its proper divisors (807354369600).

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

427828074432 is a wasteful number, since it uses less digits than its factorization.

427828074432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51706 (or 51696 counting only the distinct ones).

The product of its (nonzero) digits is 4816896, while the sum is 51.

The spelling of 427828074432 in words is "four hundred twenty-seven billion, eight hundred twenty-eight million, seventy-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1056 2112 4273 8546 12819 17092 25638 34184 47003 47407 51276 68368 94006 94814 102552 136736 141009 142221 188012 189628 205104 273472 282018 284442 376024 379256 410208 521477 564036 568884 752048 758512 820416 1042954 1128072 1137768 1504096 1517024 1564431 2085908 2256144 2275536 3008192 3034048 3128862 4171816 4512288 4551072 6257724 8343632 9024576 9102144 12515448 16687264 25030896 33374528 50061792 100123584 202570111 405140222 607710333 810280444 1215420666 1620560888 2228271221 2430841332 3241121776 4456542442 4861682664 6482243552 6684813663 8913084884 9723365328 12964487104 13369627326 17826169768 19446730656 26739254652 35652339536 38893461312 53478509304 71304679072 106957018608 142609358144 213914037216 427828074432