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2864106816 = 263192927073
BaseRepresentation
bin1010101010110110…
…1100110101000000
321101121022200221020
42222231230311000
521331202404231
61152111425440
7130655335434
oct25255546500
97347280836
102864106816
11123a79392a
1267b225280
133684b457c
141d25509c4
1511b69e396
hexaab6cd40

2864106816 has 112 divisors (see below), whose sum is σ = 8252155200. Its totient is φ = 873234432.

The previous prime is 2864106799. The next prime is 2864106827. The reversal of 2864106816 is 6186014682.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92256 + ... + 119328.

Almost surely, 22864106816 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 2864106816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4126077600).

2864106816 is an abundant number, since it is smaller than the sum of its proper divisors (5388048384).

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

2864106816 is a wasteful number, since it uses less digits than its factorization.

2864106816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27136 (or 27126 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The square root of 2864106816 is about 53517.3506070695. The cubic root of 2864106816 is about 1420.1353464855.

The spelling of 2864106816 in words is "two billion, eight hundred sixty-four million, one hundred six thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 19 24 29 32 38 48 57 58 64 76 87 96 114 116 152 174 192 228 232 304 348 456 464 551 608 696 912 928 1102 1216 1392 1653 1824 1856 2204 2784 3306 3648 4408 5568 6612 8816 13224 17632 26448 27073 35264 52896 54146 81219 105792 108292 162438 216584 324876 433168 514387 649752 785117 866336 1028774 1299504 1543161 1570234 1732672 2057548 2355351 2599008 3086322 3140468 4115096 4710702 5198016 6172644 6280936 8230192 9421404 12345288 12561872 14917223 16460384 18842808 24690576 25123744 29834446 32920768 37685616 44751669 49381152 50247488 59668892 75371232 89503338 98762304 119337784 150742464 179006676 238675568 358013352 477351136 716026704 954702272 1432053408 2864106816