Search a number
-
+
20830817728 = 267102145541
BaseRepresentation
bin10011011001100111…
…010000110111000000
31222202201212011220201
4103121213100313000
5320130142131403
613323004414544
71335131013010
oct233147206700
958681764821
1020830817728
11891a4a9746
124054247454
131c6c85aa66
141018793c40
1581db7e21d
hex4d99d0dc0

20830817728 has 56 divisors (see below), whose sum is σ = 47288626784. Its totient is φ = 8918553600.

The previous prime is 20830817677. The next prime is 20830817779. The reversal of 20830817728 is 82771803802.

It is an interprime number because it is at equal distance from previous prime (20830817677) and next prime (20830817779).

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 434638 + ... + 480178.

It is an arithmetic number, because the mean of its divisors is an integer number (844439764).

Almost surely, 220830817728 is an apocalyptic number.

20830817728 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

20830817728 is an abundant number, since it is smaller than the sum of its proper divisors (26457809056).

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

20830817728 is a wasteful number, since it uses less digits than its factorization.

20830817728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46581 (or 46571 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 46.

The spelling of 20830817728 in words is "twenty billion, eight hundred thirty million, eight hundred seventeen thousand, seven hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 1021 2042 4084 7147 8168 14294 16336 28588 32672 45541 57176 65344 91082 114352 182164 228704 318787 364328 457408 637574 728656 1275148 1457312 2550296 2914624 5100592 10201184 20402368 46497361 92994722 185989444 325481527 371978888 650963054 743957776 1301926108 1487915552 2603852216 2975831104 5207704432 10415408864 20830817728