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2873001008696 = 2371340964115053
BaseRepresentation
bin101001110011101100001…
…101000101111000111000
3101011122201101021001211112
4221303230031011320320
5334032401224234241
610035501034215452
7414365433433160
oct51635415057070
911148641231745
102873001008696
11a08484196925
123a4982284588
1317abcc603a80
149d0a82175a0
154eb000c31eb
hex29cec345e38

2873001008696 has 128 divisors (see below), whose sum is σ = 6657023318400. Its totient is φ = 1131948933120.

The previous prime is 2873001008693. The next prime is 2873001008701. The reversal of 2873001008696 is 6968001003782.

2873001008696 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2873001008693) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 190851506 + ... + 190866558.

It is an arithmetic number, because the mean of its divisors is an integer number (52007994675).

Almost surely, 22873001008696 is an apocalyptic number.

2873001008696 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2873001008696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3328511659200).

2873001008696 is an abundant number, since it is smaller than the sum of its proper divisors (3784022309704).

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

2873001008696 is a wasteful number, since it uses less digits than its factorization.

2873001008696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16129 (or 16125 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 50.

The spelling of 2873001008696 in words is "two trillion, eight hundred seventy-three billion, one million, eight thousand, six hundred ninety-six".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 182 364 409 641 728 818 1282 1636 2564 2863 3272 4487 5128 5317 5726 8333 8974 10634 11452 15053 16666 17948 21268 22904 30106 33332 35896 37219 42536 58331 60212 66664 74438 105371 116662 120424 148876 195689 210742 233324 262169 297752 391378 421484 466648 524338 782756 842968 1048676 1369823 1565512 1835183 2097352 2739646 3408197 3670366 5479292 6156677 6816394 7340732 9648973 10958584 12313354 13632788 14681464 19297946 23857379 24626708 27265576 38595892 43096739 47714758 49253416 67542811 77191784 80036801 86193478 95429516 125436649 135085622 160073602 172386956 190859032 250873298 270171244 320147204 344773912 501746596 540342488 560257607 640294408 878056543 1003493192 1120515214 1756113086 2241030428 3512226172 3946429957 4482060856 7024452344 7892859914 15785719828 27625009699 31571439656 51303589441 55250019398 102607178882 110500038796 205214357764 221000077592 359125126087 410428715528 718250252174 1436500504348 2873001008696