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27429020000 = 25547318787
BaseRepresentation
bin11001100010111001…
…011010000101100000
32121210120112120211122
4121202321122011200
5422133312120000
620333431031412
71660500552224
oct314271320540
977716476748
1027429020000
11106a5a6a778
125395b0b568
132781843065
141482bdc784
15aa807c085
hex662e5a160

27429020000 has 120 divisors (see below), whose sum is σ = 68407521336. Its totient is φ = 10820736000.

The previous prime is 27429019997. The next prime is 27429020011. The reversal of 27429020000 is 2092472.

It is a super-2 number, since 2×274290200002 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1450607 + ... + 1469393.

Almost surely, 227429020000 is an apocalyptic number.

27429020000 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 27429020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34203760668).

27429020000 is an abundant number, since it is smaller than the sum of its proper divisors (40978501336).

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

27429020000 is an equidigital number, since it uses as much as digits as its factorization.

27429020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18890 (or 18867 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The spelling of 27429020000 in words is "twenty-seven billion, four hundred twenty-nine million, twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 73 80 100 125 146 160 200 250 292 365 400 500 584 625 730 800 1000 1168 1250 1460 1825 2000 2336 2500 2920 3650 4000 5000 5840 7300 9125 10000 11680 14600 18250 18787 20000 29200 36500 37574 45625 58400 73000 75148 91250 93935 146000 150296 182500 187870 292000 300592 365000 375740 469675 601184 730000 751480 939350 1371451 1460000 1502960 1878700 2348375 2742902 3005920 3757400 4696750 5485804 6857255 7514800 9393500 10971608 11741875 13714510 15029600 18787000 21943216 23483750 27429020 34286275 37574000 43886432 46967500 54858040 68572550 75148000 93935000 109716080 137145100 171431375 187870000 219432160 274290200 342862750 375740000 548580400 685725500 857156875 1097160800 1371451000 1714313750 2742902000 3428627500 5485804000 6857255000 13714510000 27429020000