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427223517520 = 24543972295591
BaseRepresentation
bin1100011011110001000…
…00011000100101010000
31111211201221102100102111
412031320200120211100
523444423210030040
6524132550355104
742602665660522
oct6157040304520
91454657370374
10427223517520
111552035a1008
126a97035ba94
133139671b6a7
141696b989a12
15b1a68d0dea
hex6378818950

427223517520 has 160 divisors (see below), whose sum is σ = 1031541477120. Its totient is φ = 164443668480.

The previous prime is 427223517467. The next prime is 427223517547. The reversal of 427223517520 is 25715322724.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76409925 + ... + 76415515.

It is an arithmetic number, because the mean of its divisors is an integer number (6447134232).

Almost surely, 2427223517520 is an apocalyptic number.

427223517520 is a gapful number since it is divisible by the number (40) 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 427223517520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515770738560).

427223517520 is an abundant number, since it is smaller than the sum of its proper divisors (604317959600).

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

427223517520 is a wasteful number, since it uses less digits than its factorization.

427223517520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5973 (or 5967 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 40.

The spelling of 427223517520 in words is "four hundred twenty-seven billion, two hundred twenty-three million, five hundred seventeen thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 43 80 86 97 172 194 215 229 344 388 430 458 485 688 776 860 916 970 1145 1552 1720 1832 1940 2290 3440 3664 3880 4171 4580 5591 7760 8342 9160 9847 11182 16684 18320 19694 20855 22213 22364 27955 33368 39388 41710 44426 44728 49235 55910 66736 78776 83420 88852 89456 98470 111065 111820 157552 166840 177704 196940 222130 223640 240413 333680 355408 393880 444260 447280 480826 542327 787760 888520 955159 961652 1084654 1202065 1280339 1777040 1910318 1923304 2169308 2404130 2560678 2711635 3820636 3846608 4338616 4775795 4808260 5121356 5423270 6401695 7641272 8677232 9551590 9616520 10242712 10846540 12803390 15282544 19103180 19233040 20485424 21693080 23320061 25606780 38206360 43386160 46640122 51213560 55054577 76412720 93280244 102427120 110109154 116600305 124192883 186560488 220218308 233200610 248385766 275272885 373120976 440436616 466401220 496771532 550545770 620964415 880873232 932802440 993543064 1101091540 1241928830 1865604880 1987086128 2202183080 2483857660 4404366160 4967715320 5340293969 9935430640 10680587938 21361175876 26701469845 42722351752 53402939690 85444703504 106805879380 213611758760 427223517520