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2838873311872 = 27132961964417
BaseRepresentation
bin101001010011111010000…
…010010000101010000000
3101001101121221222102220021
4221103322002100222000
5333003003031434442
610012054351223224
7412046633001613
oct51237202205200
911041557872807
102838873311872
119a4a60a80104
1239a238b17b14
13177921029c20
149b58b8d817a
154dca3dece67
hex294fa090a80

2838873311872 has 128 divisors (see below), whose sum is σ = 6403928403600. Its totient is φ = 1244328099840.

The previous prime is 2838873311839. The next prime is 2838873311881. The reversal of 2838873311872 is 2781133788382.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 942244416 + 2837931067456 = 30696^2 + 1684616^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×28388733118722 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (61).

It is a self number, because there is not a number n which added to its sum of digits gives 2838873311872.

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, 2461408 + ... + 3425824.

Almost surely, 22838873311872 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 2838873311872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3201964201800).

2838873311872 is an abundant number, since it is smaller than the sum of its proper divisors (3565055091728).

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

2838873311872 is a wasteful number, since it uses less digits than its factorization.

2838873311872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 964534 (or 964522 counting only the distinct ones).

The product of its digits is 21676032, while the sum is 61.

The spelling of 2838873311872 in words is "two trillion, eight hundred thirty-eight billion, eight hundred seventy-three million, three hundred eleven thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 13 16 26 29 32 52 58 61 64 104 116 122 128 208 232 244 377 416 464 488 754 793 832 928 976 1508 1586 1664 1769 1856 1952 3016 3172 3538 3712 3904 6032 6344 7076 7808 12064 12688 14152 22997 24128 25376 28304 45994 48256 50752 56608 91988 101504 113216 183976 226432 367952 735904 964417 1471808 1928834 2943616 3857668 7715336 12537421 15430672 25074842 27968093 30861344 50149684 55936186 58829437 61722688 100299368 111872372 117658874 123445376 200598736 223744744 235317748 363585209 401197472 447489488 470635496 727170418 764782681 802394944 894978976 941270992 1454340836 1529565362 1604789888 1706053673 1789957952 1882541984 2908681672 3059130724 3412107346 3579915904 3765083968 5817363344 6118261448 6824214692 7530167936 11634726688 12236522896 13648429384 22178697749 23269453376 24473045792 27296858768 44357395498 46538906752 48946091584 54593717536 88714790996 97892183168 109187435072 177429581992 218374870144 354859163984 709718327968 1419436655936 2838873311872