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20440204416 = 27335914411
BaseRepresentation
bin10011000010010101…
…001100010010000000
31221202111211222012000
4103002111030102000
5313330143020131
613220132304000
71322345604462
oct230225142200
957674758160
1020440204416
118739a65125
123b65472000
131c09954b18
14dbc954132
157e9721ce6
hex4c254c480

20440204416 has 64 divisors (see below), whose sum is σ = 60327002400. Its totient is φ = 6813400320.

The previous prime is 20440204391. The next prime is 20440204441. The reversal of 20440204416 is 61440204402.

It is a happy number.

20440204416 is a `hidden beast` number, since 2 + 0 + 4 + 40 + 204 + 416 = 666.

It is an interprime number because it is at equal distance from previous prime (20440204391) and next prime (20440204441).

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 20440204416.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2953750 + ... + 2960661.

Almost surely, 220440204416 is an apocalyptic number.

It is an amenable number.

20440204416 is an abundant number, since it is smaller than the sum of its proper divisors (39886797984).

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

20440204416 is an equidigital number, since it uses as much as digits as its factorization.

20440204416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5914434 (or 5914416 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 20440204416 its reverse (61440204402), we get a palindrome (81880408818).

The spelling of 20440204416 in words is "twenty billion, four hundred forty million, two hundred four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1728 3456 5914411 11828822 17743233 23657644 35486466 47315288 53229699 70972932 94630576 106459398 141945864 159689097 189261152 212918796 283891728 319378194 378522304 425837592 567783456 638756388 757044608 851675184 1135566912 1277512776 1703350368 2271133824 2555025552 3406700736 5110051104 6813401472 10220102208 20440204416