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20410246944 = 253323622971
BaseRepresentation
bin10011000000100010…
…111010011100100000
31221200102110222021000
4103000202322130200
5313300010400234
613213142232000
71321533144063
oct230042723440
957612428230
1020410246944
11872406368a
123b57425600
131c036962c9
14db89968da
157e6ca5899
hex4c08ba720

20410246944 has 48 divisors (see below), whose sum is σ = 59529889440. Its totient is φ = 6803415360.

The previous prime is 20410246939. The next prime is 20410246973. The reversal of 20410246944 is 44964201402.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×204102469442 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 20410246899 and 20410246908.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11810622 + ... + 11812349.

It is an arithmetic number, because the mean of its divisors is an integer number (1240206030).

Almost surely, 220410246944 is an apocalyptic number.

20410246944 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20410246944 is an abundant number, since it is smaller than the sum of its proper divisors (39119642496).

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

20410246944 is a wasteful number, since it uses less digits than its factorization.

20410246944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23622990 (or 23622976 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 20410246944 in words is "twenty billion, four hundred ten million, two hundred forty-six thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 23622971 47245942 70868913 94491884 141737826 188983768 212606739 283475652 377967536 425213478 566951304 637820217 755935072 850426956 1133902608 1275640434 1700853912 2267805216 2551280868 3401707824 5102561736 6803415648 10205123472 20410246944