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4285002677376 = 273193089190129
BaseRepresentation
bin111110010110101110000…
…011111111110010000000
3120011122100012111210122210
4332112232003333302000
51030201141141134001
613040300354302120
7621403234540011
oct76265603776200
916148305453583
104285002677376
111402294335463
12592566887940
132510c6807b35
1410b576757008
15766e1bd2dd6
hex3e5ae0ffc80

4285002677376 has 128 divisors (see below), whose sum is σ = 11985034680000. Its totient is φ = 1352713568256.

The previous prime is 4285002677341. The next prime is 4285002677387. The reversal of 4285002677376 is 6737762005824.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×42850026773762 (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22442280 + ... + 22632408.

Almost surely, 24285002677376 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 4285002677376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5992517340000).

4285002677376 is an abundant number, since it is smaller than the sum of its proper divisors (7700032002624).

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

4285002677376 is a wasteful number, since it uses less digits than its factorization.

4285002677376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193254 (or 193242 counting only the distinct ones).

The product of its (nonzero) digits is 23708160, while the sum is 57.

The spelling of 4285002677376 in words is "four trillion, two hundred eighty-five billion, two million, six hundred seventy-seven thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 304 384 456 608 912 1216 1824 2432 3089 3648 6178 7296 9267 12356 18534 24712 37068 49424 58691 74136 98848 117382 148272 176073 190129 197696 234764 296544 352146 380258 395392 469528 570387 593088 704292 760516 939056 1140774 1186176 1408584 1521032 1878112 2281548 2817168 3042064 3612451 3756224 4563096 5634336 6084128 7224902 7512448 9126192 10837353 11268672 12168256 14449804 18252384 21674706 22537344 24336512 28899608 36504768 43349412 57799216 73009536 86698824 115598432 173397648 231196864 346795296 462393728 587308481 693590592 1174616962 1387181184 1761925443 2349233924 3523850886 4698467848 7047701772 9396935696 11158861139 14095403544 18793871392 22317722278 28190807088 33476583417 37587742784 44635444556 56381614176 66953166834 75175485568 89270889112 112763228352 133906333668 178541778224 225526456704 267812667336 357083556448 535625334672 714167112896 1071250669344 1428334225792 2142501338688 4285002677376