Search a number
-
+
28014740066880 = 26375721923173
BaseRepresentation
bin1100101111010101100001…
…01000010101001001000000
310200012011221101212220000000
412113222300220111021000
512132443141424120010
6135325443253000000
75620666242365100
oct627526050251100
9120164841786000
1028014740066880
118a20a91474726
12318553b923000
131282a17914258
146cbcc63bb200
15338adadb87c0
hex197ab0a15240

28014740066880 has 4032 divisors, whose sum is σ = 128531727452160. Its totient is φ = 5790241013760.

The previous prime is 28014740066843. The next prime is 28014740066909. The reversal of 28014740066880 is 8866004741082.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a super-2 number, since 2×280147400668802 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 383763562524 + ... + 383763562596.

Almost surely, 228014740066880 is an apocalyptic number.

28014740066880 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 28014740066880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64265863726080).

28014740066880 is an abundant number, since it is smaller than the sum of its proper divisors (100516987385280).

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

28014740066880 is an equidigital number, since it uses as much as digits as its factorization.

28014740066880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 28014740066880 in words is "twenty-eight trillion, fourteen billion, seven hundred forty million, sixty-six thousand, eight hundred eighty".