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2142878784 = 26382913463
BaseRepresentation
bin111111110111001…
…1011110001000000
312112100012112001220
41333232123301000
513342034110114
6552345155040
7104050112004
oct17756336100
95470175056
102142878784
119aa665602
124b978ba80
13281c51b17
1416484c704
15c81d70a9
hex7fb9bc40

2142878784 has 56 divisors (see below), whose sum is σ = 5676960960. Its totient is φ = 713378304.

The previous prime is 2142878783. The next prime is 2142878831. The reversal of 2142878784 is 4878782412.

It is a happy number.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (2142878783) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 152437 + ... + 165899.

Almost surely, 22142878784 is an apocalyptic number.

2142878784 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2142878784 is an abundant number, since it is smaller than the sum of its proper divisors (3534082176).

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

2142878784 is a wasteful number, since it uses less digits than its factorization.

2142878784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14307 (or 14297 counting only the distinct ones).

The product of its digits is 1605632, while the sum is 51.

The square root of 2142878784 is about 46291.2387390962. The cubic root of 2142878784 is about 1289.2363294453.

The spelling of 2142878784 in words is "two billion, one hundred forty-two million, eight hundred seventy-eight thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 829 1658 2487 3316 4974 6632 9948 13264 13463 19896 26528 26926 39792 40389 53056 53852 79584 80778 107704 159168 161556 215408 323112 430816 646224 861632 1292448 2584896 11160827 22321654 33482481 44643308 66964962 89286616 133929924 178573232 267859848 357146464 535719696 714292928 1071439392 2142878784