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20442391744 = 261759318457
BaseRepresentation
bin10011000010011101…
…100010010011000000
31221202122222002122011
4103002131202103000
5313331223013434
613220251222304
71322403314515
oct230235422300
957678862564
1020442391744
118740219535
123b66147994
131c0a23c5b8
14dbcd6330c
157e9a04e64
hex4c27624c0

20442391744 has 56 divisors (see below), whose sum is σ = 43679699280. Its totient is φ = 9456869376.

The previous prime is 20442391687. The next prime is 20442391747. The reversal of 20442391744 is 44719324402.

It is a junction number, because it is equal to n+sod(n) for n = 20442391697 and 20442391706.

It is not an unprimeable number, because it can be changed into a prime (20442391747) by changing a digit.

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, 95037 + ... + 223420.

It is an arithmetic number, because the mean of its divisors is an integer number (779994630).

Almost surely, 220442391744 is an apocalyptic number.

It is an amenable number.

20442391744 is an abundant number, since it is smaller than the sum of its proper divisors (23237307536).

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

20442391744 is a wasteful number, since it uses less digits than its factorization.

20442391744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318545 (or 318535 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 40.

The spelling of 20442391744 in words is "twenty billion, four hundred forty-two million, three hundred ninety-one thousand, seven hundred forty-four".

Divisors: 1 2 4 8 16 17 32 34 59 64 68 118 136 236 272 472 544 944 1003 1088 1888 2006 3776 4012 8024 16048 32096 64192 318457 636914 1273828 2547656 5095312 5413769 10190624 10827538 18788963 20381248 21655076 37577926 43310152 75155852 86620304 150311704 173240608 300623408 319412371 346481216 601246816 638824742 1202493632 1277649484 2555298968 5110597936 10221195872 20442391744