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2832785139772 = 2273612733757
BaseRepresentation
bin101001001110001111001…
…001101110100000111100
3101000210220200000020211201
4221032033021232200330
5332403020443433042
610005210304425244
7411443025253000
oct51161711564074
911023820006751
102832785139772
119a24173a7315
1239901a018224
131771908cc223
149b1710d6700
154da4969a1b7
hex2938f26e83c

2832785139772 has 144 divisors (see below), whose sum is σ = 5893314772800. Its totient is φ = 1190943855360.

The previous prime is 2832785139719. The next prime is 2832785139787. The reversal of 2832785139772 is 2779315872382.

2832785139772 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×28327851397722 (a number of 26 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 47 ways as a sum of consecutive naturals, for example, 3742120018 + ... + 3742120774.

Almost surely, 22832785139772 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 2832785139772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2946657386400).

2832785139772 is an abundant number, since it is smaller than the sum of its proper divisors (3060529633028).

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

2832785139772 is an equidigital number, since it uses as much as digits as its factorization.

2832785139772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1637 (or 1560 counting only the distinct ones).

The product of its digits is 71124480, while the sum is 64.

The spelling of 2832785139772 in words is "two trillion, eight hundred thirty-two billion, seven hundred eighty-five million, one hundred thirty-nine thousand, seven hundred seventy-two".

Divisors: 1 2 4 7 14 28 49 61 98 122 196 244 343 427 686 733 757 854 1372 1466 1514 1708 2932 2989 3028 3721 5131 5299 5978 7442 10262 10598 11956 14884 20524 20923 21196 26047 35917 37093 41846 44713 46177 52094 71834 74186 83692 89426 92354 104188 143668 148372 178852 182329 184708 251419 259651 312991 323239 364658 502838 519302 554881 625982 646478 729316 1005676 1038604 1109762 1251964 1276303 1292956 2190937 2219524 2262673 2552606 2727493 2816797 3884167 4381874 4525346 5105212 5454986 5633594 7768334 8763748 9050692 10909972 11267188 15336559 15536668 15838711 19092451 19717579 27189169 30673118 31677422 33847741 38184902 39435158 54378338 61346236 63354844 67695482 76369804 78870316 108756676 133647157 135390964 138023053 190324183 236934187 267294314 276046106 380648366 473868374 534588628 552092212 761296732 935530099 947736748 966161371 1658539309 1871060198 1932322742 2064712201 3317078618 3742120396 3864645484 4129424402 6634157236 8258848804 11609775163 14452985407 23219550326 28905970814 46439100652 57811941628 101170897849 202341795698 404683591396 708196284943 1416392569886 2832785139772