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2872888585752 = 23319149131932057
BaseRepresentation
bin101001110011100101100…
…000001110111000011000
3101011122102112201101112210
4221303211200032320120
5334032133434221002
610035441540435120
7414362600030403
oct51634540167030
911148375641483
102872888585752
11a0842678a8a9
123a49506a8aa0
1317abb2230913
149d097310d3a
154eae52b796c
hex29ce580ee18

2872888585752 has 128 divisors (see below), whose sum is σ = 7616980800000. Its totient is φ = 900427908096.

The previous prime is 2872888585703. The next prime is 2872888585769. The reversal of 2872888585752 is 2575858882782.

It is a super-2 number, since 2×28728885857522 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 89602108 + ... + 89634164.

It is an arithmetic number, because the mean of its divisors is an integer number (59507662500).

Almost surely, 22872888585752 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 2872888585752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3808490400000).

2872888585752 is an abundant number, since it is smaller than the sum of its proper divisors (4744092214248).

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

2872888585752 is a wasteful number, since it uses less digits than its factorization.

2872888585752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33553 (or 33549 counting only the distinct ones).

The product of its digits is 1605632000, while the sum is 75.

The spelling of 2872888585752 in words is "two trillion, eight hundred seventy-two billion, eight hundred eighty-eight million, five hundred eighty-five thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 149 152 228 298 447 456 596 894 1192 1319 1788 2638 2831 3576 3957 5276 5662 7914 8493 10552 11324 15828 16986 22648 25061 31656 32057 33972 50122 64114 67944 75183 96171 100244 128228 150366 192342 196531 200488 256456 300732 384684 393062 589593 601464 609083 769368 786124 1179186 1218166 1572248 1827249 2358372 2436332 3654498 3734089 4716744 4776493 4872664 7308996 7468178 9552986 11202267 14329479 14617992 14936356 19105972 22404534 28658958 29872712 38211944 42283183 44809068 57317916 84566366 89618136 90753367 114635832 126849549 169132732 181506734 253699098 272260101 338265464 363013468 507398196 544520202 726026936 803380477 1014796392 1089040404 1606760954 2178080808 2410141431 3213521908 4820282862 6300194267 6427043816 9640565724 12600388534 18900582801 19281131448 25200777068 37801165602 50401554136 75602331204 119703691073 151204662408 239407382146 359111073219 478814764292 718222146438 957629528584 1436444292876 2872888585752