Search a number
-
+
2012996843776 = 2819967742767
BaseRepresentation
bin11101010010101111111…
…101100011100100000000
321010102220012200220220101
4131102233331203210000
5230440104143000101
64140431420252144
7265301636565622
oct35225775434400
97112805626811
102012996843776
1170678626a996
122861706a1054
13117a9509c589
146d602a36c12
1537569009401
hex1d4aff63900

2012996843776 has 72 divisors (see below), whose sum is σ = 4230146954880. Its totient is φ = 953403992064.

The previous prime is 2012996843773. The next prime is 2012996843777. The reversal of 2012996843776 is 6773486992102.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is not an unprimeable number, because it can be changed into a prime (2012996843773) 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, 47047545 + ... + 47090311.

It is an arithmetic number, because the mean of its divisors is an integer number (58752041040).

Almost surely, 22012996843776 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 2012996843776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2115073477440).

2012996843776 is an abundant number, since it is smaller than the sum of its proper divisors (2217150111104).

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

2012996843776 is an equidigital number, since it uses as much as digits as its factorization.

2012996843776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52479 (or 52465 counting only the distinct ones).

The product of its (nonzero) digits is 54867456, while the sum is 64.

The spelling of 2012996843776 in words is "two trillion, twelve billion, nine hundred ninety-six million, eight hundred forty-three thousand, seven hundred seventy-six".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 256 304 608 1216 2432 4864 9677 19354 38708 42767 77416 85534 154832 171068 183863 309664 342136 367726 619328 684272 735452 812573 1238656 1368544 1470904 1625146 2477312 2737088 2941808 3250292 5474176 5883616 6500584 10948352 11767232 13001168 23534464 26002336 47068928 52004672 104009344 208018688 413856259 827712518 1655425036 3310850072 6621700144 7863268921 13243400288 15726537842 26486800576 31453075684 52973601152 62906151368 105947202304 125812302736 251624605472 503249210944 1006498421888 2012996843776