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424069107616 = 257211107229781
BaseRepresentation
bin1100010101111000111…
…11010000111110100000
31111112121002211201112001
412022330133100332200
523421443142420431
6522451544413344
742431553640300
oct6127437207640
91445532751461
10424069107616
11153934a57180
126a22ba77254
1330cb3052c5b
141674ca6b600
15b06e9dae61
hex62bc7d0fa0

424069107616 has 144 divisors (see below), whose sum is σ = 1069390721952. Its totient is φ = 163676889600.

The previous prime is 424069107599. The next prime is 424069107673. The reversal of 424069107616 is 616701960424.

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, 1730646 + ... + 1960426.

It is an arithmetic number, because the mean of its divisors is an integer number (7426324458).

Almost surely, 2424069107616 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 424069107616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534695360976).

424069107616 is an abundant number, since it is smaller than the sum of its proper divisors (645321614336).

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

424069107616 is a wasteful number, since it uses less digits than its factorization.

424069107616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229923 (or 229908 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 46.

The spelling of 424069107616 in words is "four hundred twenty-four billion, sixty-nine million, one hundred seven thousand, six hundred sixteen".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 49 56 77 88 98 107 112 154 176 196 214 224 308 352 392 428 539 616 749 784 856 1078 1177 1232 1498 1568 1712 2156 2354 2464 2996 3424 4312 4708 5243 5992 8239 8624 9416 10486 11984 16478 17248 18832 20972 23968 32956 37664 41944 57673 65912 83888 115346 131824 167776 229781 230692 263648 459562 461384 919124 922768 1608467 1838248 1845536 2527591 3216934 3676496 5055182 6433868 7352992 10110364 11259269 12867736 17693137 20220728 22518538 24586567 25735472 35386274 40441456 45037076 49173134 51470944 70772548 80882912 90074152 98346268 123851959 141545096 172105969 180148304 196692536 247703918 270452237 283090192 344211938 360296608 393385072 495407836 540904474 566180384 688423876 786770144 990815672 1081808948 1204741783 1376847752 1893165659 1981631344 2163617896 2409483566 2753695504 3786331318 3963262688 4327235792 4818967132 5507391008 7572662636 8654471584 9637934264 13252159613 15145325272 19275868528 26504319226 30290650544 38551737056 53008638452 60581301088 106017276904 212034553808 424069107616