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21464177920 = 28538343783
BaseRepresentation
bin10011111111010111…
…010101110100000000
32001101212122012202121
4103333113111310000
5322424312143140
613505511454024
71356621334123
oct237727256400
961355565677
1021464177920
119114a72619
1241b0387314
132040b36bc3
1410789423ba
1585958b64a
hex4ff5d5d00

21464177920 has 72 divisors (see below), whose sum is σ = 51548829696. Its totient is φ = 8563058688.

The previous prime is 21464177893. The next prime is 21464177941. The reversal of 21464177920 is 2977146412.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 468349 + ... + 512131.

It is an arithmetic number, because the mean of its divisors is an integer number (715955968).

Almost surely, 221464177920 is an apocalyptic number.

21464177920 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 21464177920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25774414848).

21464177920 is an abundant number, since it is smaller than the sum of its proper divisors (30084651776).

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

21464177920 is an equidigital number, since it uses as much as digits as its factorization.

21464177920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44187 (or 44173 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 43.

The spelling of 21464177920 in words is "twenty-one billion, four hundred sixty-four million, one hundred seventy-seven thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 383 640 766 1280 1532 1915 3064 3830 6128 7660 12256 15320 24512 30640 43783 49024 61280 87566 98048 122560 175132 218915 245120 350264 437830 490240 700528 875660 1401056 1751320 2802112 3502640 5604224 7005280 11208448 14010560 16768889 28021120 33537778 56042240 67075556 83844445 134151112 167688890 268302224 335377780 536604448 670755560 1073208896 1341511120 2146417792 2683022240 4292835584 5366044480 10732088960 21464177920