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21390881760 = 25355550177
BaseRepresentation
bin10011111010111111…
…101111001111100000
32001012202201101100000
4103322333233033200
5322302031204020
613454332500000
71355041331523
oct237277571740
961182641300
1021390881760
119087660086
12418b91a600
13202b8b2cb1
14106cd02bba
15852e0e090
hex4fafef3e0

21390881760 has 144 divisors (see below), whose sum is σ = 75700091376. Its totient is φ = 5704224768.

The previous prime is 21390881747. The next prime is 21390881767. The reversal of 21390881760 is 6718809312.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21390881767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 236209 + ... + 313968.

It is an arithmetic number, because the mean of its divisors is an integer number (525695079).

Almost surely, 221390881760 is an apocalyptic number.

21390881760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21390881760 is an abundant number, since it is smaller than the sum of its proper divisors (54309209616).

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

21390881760 is an equidigital number, since it uses as much as digits as its factorization.

21390881760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550207 (or 550187 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 21390881760 in words is "twenty-one billion, three hundred ninety million, eight hundred eighty-one thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 81 90 96 108 120 135 144 160 162 180 216 240 243 270 288 324 360 405 432 480 486 540 648 720 810 864 972 1080 1215 1296 1440 1620 1944 2160 2430 2592 3240 3888 4320 4860 6480 7776 9720 12960 19440 38880 550177 1100354 1650531 2200708 2750885 3301062 4401416 4951593 5501770 6602124 8252655 8802832 9903186 11003540 13204248 14854779 16505310 17605664 19806372 22007080 24757965 26408496 29709558 33010620 39612744 44014160 44564337 49515930 52816992 59419116 66021240 74273895 79225488 88028320 89128674 99031860 118838232 132042480 133693011 148547790 158450976 178257348 198063720 222821685 237676464 264084960 267386022 297095580 356514696 396127440 445643370 475352928 534772044 594191160 668465055 713029392 792254880 891286740 1069544088 1188382320 1336930110 1426058784 1782573480 2139088176 2376764640 2673860220 3565146960 4278176352 5347720440 7130293920 10695440880 21390881760