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2428029399675 = 35211414872
BaseRepresentation
bin100011010101010001110…
…101000111001001111011
322121010011112200020212210
4203111101311013021323
5304240101011242200
65055231000310203
7340263555241335
oct43252165071173
98533145606783
102428029399675
118567a3330000
1233269a172363
13147c67c150b9
1485735496455
154325a4e8650
hex23551d4727b

2428029399675 has 90 divisors (see below), whose sum is σ = 4418720282140. Its totient is φ = 1176434696800.

The previous prime is 2428029399673. The next prime is 2428029399773. The reversal of 2428029399675 is 5769939208242.

It is not a de Polignac number, because 2428029399675 - 21 = 2428029399673 is a prime.

It is a super-3 number, since 3×24280293996753 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (2428029399673) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 1632836782 + ... + 1632838268.

Almost surely, 22428029399675 is an apocalyptic number.

2428029399675 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2428029399675 is a deficient number, since it is larger than the sum of its proper divisors (1990690882465).

2428029399675 is an frugal number, since it uses more digits than its factorization.

2428029399675 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3031 (or 1506 counting only the distinct ones).

The product of its (nonzero) digits is 117573120, while the sum is 66.

The spelling of 2428029399675 in words is "two trillion, four hundred twenty-eight billion, twenty-nine million, three hundred ninety-nine thousand, six hundred seventy-five".

Divisors: 1 3 5 11 15 25 33 55 75 121 165 275 363 605 825 1331 1487 1815 3025 3993 4461 6655 7435 9075 14641 16357 19965 22305 33275 37175 43923 49071 73205 81785 99825 111525 179927 219615 245355 366025 408925 539781 899635 1098075 1226775 1979197 2211169 2698905 4498175 5937591 6633507 9895985 11055845 13494525 21771167 24322859 29687955 33167535 49479925 55279225 65313501 72968577 108855835 121614295 148439775 165837675 267551449 326567505 364842885 544279175 608071475 802654347 1337757245 1632837525 1824214425 2943065939 4013271735 6688786225 8829197817 14715329695 20066358675 32373725329 44145989085 73576648475 97121175987 161868626645 220729945425 485605879935 809343133225 2428029399675