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2868363144 = 2333103912781
BaseRepresentation
bin1010101011110111…
…1011111110001000
321101220022221112000
42222331323332020
521333300110034
61152342551000
7131036453523
oct25275737610
97356287460
102868363144
111242130759
12680738460
133693449ca
141d2d3bbba
1511bc40599
hexaaf7bf88

2868363144 has 64 divisors (see below), whose sum is σ = 7975968000. Its totient is φ = 955126080.

The previous prime is 2868363103. The next prime is 2868363149. The reversal of 2868363144 is 4413638682.

2868363144 is a `hidden beast` number, since 2 + 8 + 6 + 8 + 3 + 631 + 4 + 4 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 2868363144.

It is not an unprimeable number, because it can be changed into a prime (2868363149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 218034 + ... + 230814.

It is an arithmetic number, because the mean of its divisors is an integer number (124624500).

Almost surely, 22868363144 is an apocalyptic number.

2868363144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2868363144 is an abundant number, since it is smaller than the sum of its proper divisors (5107604856).

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

2868363144 is a wasteful number, since it uses less digits than its factorization.

2868363144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13835 (or 13825 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The square root of 2868363144 is about 53557.1017139651. The cubic root of 2868363144 is about 1420.8384825109.

The spelling of 2868363144 in words is "two billion, eight hundred sixty-eight million, three hundred sixty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 1039 2078 3117 4156 6234 8312 9351 12468 12781 18702 24936 25562 28053 37404 38343 51124 56106 74808 76686 102248 112212 115029 153372 224424 230058 306744 345087 460116 690174 920232 1380348 2760696 13279459 26558918 39838377 53117836 79676754 106235672 119515131 159353508 239030262 318707016 358545393 478060524 717090786 956121048 1434181572 2868363144