Search a number
-
+
28715990498816 = 291271801245209
BaseRepresentation
bin1101000011101111101100…
…11010011011111000000000
310202200012222202021210212212
412201313312122123320000
512230440322031430231
6141023535515241252
76022443004613555
oct641676632337000
9122605882253785
1028715990498816
119171424015345
123279427149228
131303ba215253a
14713c0b7bca2c
1534be7eb1e42b
hex1a1df669be00

28715990498816 has 80 divisors (see below), whose sum is σ = 57860018388480. Its totient is φ = 14236972646400.

The previous prime is 28715990498773. The next prime is 28715990498831. The reversal of 28715990498816 is 61889409951782.

It is a super-2 number, since 2×287159904988162 (a number of 28 digits) contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 116985620 + ... + 117230828.

It is an arithmetic number, because the mean of its divisors is an integer number (723250229856).

Almost surely, 228715990498816 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 28715990498816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28930009194240).

28715990498816 is an abundant number, since it is smaller than the sum of its proper divisors (29144027889664).

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

28715990498816 is a wasteful number, since it uses less digits than its factorization.

28715990498816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247155 (or 247139 counting only the distinct ones).

The product of its (nonzero) digits is 627056640, while the sum is 77.

The spelling of 28715990498816 in words is "twenty-eight trillion, seven hundred fifteen billion, nine hundred ninety million, four hundred ninety-eight thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 32 64 127 128 254 256 508 512 1016 1801 2032 3602 4064 7204 8128 14408 16256 28816 32512 57632 65024 115264 228727 230528 245209 457454 461056 490418 914908 922112 980836 1829816 1961672 3659632 3923344 7319264 7846688 14638528 15693376 29277056 31141543 31386752 58554112 62283086 62773504 117108224 124566172 125547008 249132344 441621409 498264688 883242818 996529376 1766485636 1993058752 3532971272 3986117504 7065942544 7972235008 14131885088 15944470016 28263770176 56085918943 56527540352 112171837886 113055080704 224343675772 226110161408 448687351544 897374703088 1794749406176 3589498812352 7178997624704 14357995249408 28715990498816