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2868045696 = 27325942197
BaseRepresentation
bin1010101011110010…
…1110011110000000
321101212201211001200
42222330232132000
521333204430241
61152332101200
7131033662155
oct25274563600
97355654050
102868045696
111241a341aa
12680604800
13369263379
141d2c9822c
1511bbcb4b6
hexaaf2e780

2868045696 has 96 divisors (see below), whose sum is σ = 8393182200. Its totient is φ = 939789312.

The previous prime is 2868045659. The next prime is 2868045701. The reversal of 2868045696 is 6965408682.

It is a happy number.

2868045696 is a `hidden beast` number, since 28 + 6 + 80 + 456 + 96 = 666.

2868045696 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×28680456962 = 16451372228688248832, which 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 11 ways as a sum of consecutive naturals, for example, 46870 + ... + 89066.

Almost surely, 22868045696 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 2868045696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4196591100).

2868045696 is an abundant number, since it is smaller than the sum of its proper divisors (5525136504).

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

2868045696 is a wasteful number, since it uses less digits than its factorization.

2868045696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42276 (or 42261 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The square root of 2868045696 is about 53554.1379913821. The cubic root of 2868045696 is about 1420.7860648134.

The spelling of 2868045696 in words is "two billion, eight hundred sixty-eight million, forty-five thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 59 64 72 96 118 128 144 177 192 236 288 354 384 472 531 576 708 944 1062 1152 1416 1888 2124 2832 3776 4248 5664 7552 8496 11328 16992 22656 33984 42197 67968 84394 126591 168788 253182 337576 379773 506364 675152 759546 1012728 1350304 1519092 2025456 2489623 2700608 3038184 4050912 4979246 5401216 6076368 7468869 8101824 9958492 12152736 14937738 16203648 19916984 22406607 24305472 29875476 39833968 44813214 48610944 59750952 79667936 89626428 119501904 159335872 179252856 239003808 318671744 358505712 478007616 717011424 956015232 1434022848 2868045696