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4411105680 = 2435160911423
BaseRepresentation
bin1000001101110110…
…00010000110010000
3102101102021101102110
410012323002012100
533013220340210
62005413145320
7214211531262
oct40673020620
912342241373
104411105680
111963a54a93
12a3132b240
13553b50c07
142dbba9b32
151ac3ce420
hex106ec2190

4411105680 has 80 divisors (see below), whose sum is σ = 13684124160. Its totient is φ = 1175460864.

The previous prime is 4411105561. The next prime is 4411105681. The reversal of 4411105680 is 865011144.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is not an unprimeable number, because it can be changed into a prime (4411105681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 380449 + ... + 391871.

It is an arithmetic number, because the mean of its divisors is an integer number (171051552).

Almost surely, 24411105680 is an apocalyptic number.

4411105680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4411105680 is an abundant number, since it is smaller than the sum of its proper divisors (9273018480).

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

4411105680 is a wasteful number, since it uses less digits than its factorization.

4411105680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13048 (or 13042 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 4411105680 is about 66416.1552636104. The cubic root of 4411105680 is about 1640.0200374312.

The spelling of 4411105680 in words is "four billion, four hundred eleven million, one hundred five thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1609 3218 4827 6436 8045 9654 11423 12872 16090 19308 22846 24135 25744 32180 34269 38616 45692 48270 57115 64360 68538 77232 91384 96540 114230 128720 137076 171345 182768 193080 228460 274152 342690 386160 456920 548304 685380 913840 1370760 2741520 18379607 36759214 55138821 73518428 91898035 110277642 147036856 183796070 220555284 275694105 294073712 367592140 441110568 551388210 735184280 882221136 1102776420 1470368560 2205552840 4411105680