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2864864265040 = 24537967859549
BaseRepresentation
bin101001101100000111001…
…101111000001101010000
3101010212201022112122220101
4221230013031320031100
5333414220222440130
610032033411422144
7413660002314361
oct51540715701520
911125638478811
102864864265040
11a04a89210998
123a32912b4954
1317a20395385b
149c935715b68
154e7c5ab61ca
hex29b07378350

2864864265040 has 40 divisors (see below), whose sum is σ = 6840831299400. Its totient is φ = 1114974199296.

The previous prime is 2864864264939. The next prime is 2864864265047. The reversal of 2864864265040 is 405624684682.

It can be written as a sum of positive squares in 4 ways, for example, as 1429641096976 + 1435223168064 = 1195676^2 + 1198008^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2864864265047) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 483926815 + ... + 483932734.

It is an arithmetic number, because the mean of its divisors is an integer number (171020782485).

Almost surely, 22864864265040 is an apocalyptic number.

2864864265040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2864864265040 is an abundant number, since it is smaller than the sum of its proper divisors (3975967034360).

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

2864864265040 is a wasteful number, since it uses less digits than its factorization.

2864864265040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 967859599 (or 967859593 counting only the distinct ones).

The product of its (nonzero) digits is 17694720, while the sum is 55.

The spelling of 2864864265040 in words is "two trillion, eight hundred sixty-four billion, eight hundred sixty-four million, two hundred sixty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 148 185 296 370 592 740 1480 2960 967859549 1935719098 3871438196 4839297745 7742876392 9678595490 15485752784 19357190980 35810803313 38714381960 71621606626 77428763920 143243213252 179054016565 286486426504 358108033130 572972853008 716216066260 1432432132520 2864864265040