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27440661000 = 2335325735591
BaseRepresentation
bin11001100011100101…
…110100001000001000
32121211101110000021210
4121203211310020020
5422144302123000
620334524333120
71661001525054
oct314345641010
977741400253
1027440661000
11107015a0835
1253999a41a0
13278408a81c
14148458cc64
15aa90cb350
hex663974208

27440661000 has 128 divisors (see below), whose sum is σ = 85950408960. Its totient is φ = 7288832000.

The previous prime is 27440660999. The next prime is 27440661029. The reversal of 27440661000 is 16604472.

It is a super-2 number, since 2×274406610002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 753205 + ... + 788795.

It is an arithmetic number, because the mean of its divisors is an integer number (671487570).

Almost surely, 227440661000 is an apocalyptic number.

27440661000 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 27440661000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42975204480).

27440661000 is an abundant number, since it is smaller than the sum of its proper divisors (58509747960).

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

27440661000 is a wasteful number, since it uses less digits than its factorization.

27440661000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35872 (or 35858 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The spelling of 27440661000 in words is "twenty-seven billion, four hundred forty million, six hundred sixty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 257 300 375 500 514 600 750 771 1000 1028 1285 1500 1542 2056 2570 3000 3084 3855 5140 6168 6425 7710 10280 12850 15420 19275 25700 30840 32125 35591 38550 51400 64250 71182 77100 96375 106773 128500 142364 154200 177955 192750 213546 257000 284728 355910 385500 427092 533865 711820 771000 854184 889775 1067730 1423640 1779550 2135460 2669325 3559100 4270920 4448875 5338650 7118200 8897750 9146887 10677300 13346625 17795500 18293774 21354600 26693250 27440661 35591000 36587548 45734435 53386500 54881322 73175096 91468870 106773000 109762644 137203305 182937740 219525288 228672175 274406610 365875480 457344350 548813220 686016525 914688700 1097626440 1143360875 1372033050 1829377400 2286721750 2744066100 3430082625 4573443500 5488132200 6860165250 9146887000 13720330500 27440661000