Search a number
-
+
28937114826360 = 2335131710722944531
BaseRepresentation
bin1101001010001011100100…
…11100110011011001111000
310210110100202021201112001220
412211011302130303121320
512243101202343420420
6141313305501112040
76044431452442416
oct645056234633170
9123410667645056
1028937114826360
119247185a26484
1232b4259258620
13131b9b1a670c0
147207c72182b6
15352ac289d840
hex1a5172733678

28937114826360 has 512 divisors, whose sum is σ = 100352185113600. Its totient is φ = 6612179189760.

The previous prime is 28937114826353. The next prime is 28937114826421. The reversal of 28937114826360 is 6362841173982.

It is a super-2 number, since 2×289371148263602 (a number of 28 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 28937114826294 and 28937114826303.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 649797295 + ... + 649841825.

It is an arithmetic number, because the mean of its divisors is an integer number (196000361550).

Almost surely, 228937114826360 is an apocalyptic number.

28937114826360 is a gapful number since it is divisible by the number (20) 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 28937114826360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50176092556800).

28937114826360 is an abundant number, since it is smaller than the sum of its proper divisors (71415070287240).

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

28937114826360 is a wasteful number, since it uses less digits than its factorization.

28937114826360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44911 (or 44907 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 60.

The spelling of 28937114826360 in words is "twenty-eight trillion, nine hundred thirty-seven billion, one hundred fourteen million, eight hundred twenty-six thousand, three hundred sixty".