Search a number
-
+
28943336555784 = 23357192361731093
BaseRepresentation
bin1101001010010111001010…
…10010110100010100001000
310210110221210220000010100000
412211023211102310110020
512243201423124241114
6141320215114243000
76045041601326310
oct645134522642410
9123427726003300
1028943336555784
119249888a30922
1232b54b4a26460
13131c463a577c1
14720c17664440
15352d38bd3e09
hex1a52e54b4508

28943336555784 has 1536 divisors, whose sum is σ = 105236064460800. Its totient is φ = 7263197061120.

The previous prime is 28943336555779. The next prime is 28943336555933. The reversal of 28943336555784 is 48755563334982.

28943336555784 is a `hidden beast` number, since 2 + 8 + 9 + 4 + 3 + 3 + 3 + 65 + 557 + 8 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 26480636742 + ... + 26480637834.

It is an arithmetic number, because the mean of its divisors is an integer number (68513062800).

Almost surely, 228943336555784 is an apocalyptic number.

28943336555784 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28943336555784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52618032230400).

28943336555784 is an abundant number, since it is smaller than the sum of its proper divisors (76292727905016).

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

28943336555784 is a wasteful number, since it uses less digits than its factorization.

28943336555784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1297 (or 1281 counting only the distinct ones).

The product of its digits is 2612736000, while the sum is 72.

The spelling of 28943336555784 in words is "twenty-eight trillion, nine hundred forty-three billion, three hundred thirty-six million, five hundred fifty-five thousand, seven hundred eighty-four".