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20044004004 = 22324317972337
BaseRepresentation
bin10010101010101101…
…110011101010100100
31220201220022220101200
4102222231303222210
5312022231112004
613112540322500
71306465136313
oct225255635244
956656286350
1020044004004
118556354972
123a74843430
131b75843acb
14d8209c27a
157c4a5e239
hex4aab73aa4

20044004004 has 72 divisors (see below), whose sum is σ = 52135443360. Its totient is φ = 6489407232.

The previous prime is 20044003937. The next prime is 20044004011. The reversal of 20044004004 is 40040044002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 240924 + ... + 313260.

It is an arithmetic number, because the mean of its divisors is an integer number (724103380).

Almost surely, 220044004004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20044004004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26067721680).

20044004004 is an abundant number, since it is smaller than the sum of its proper divisors (32091439356).

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

20044004004 is a wasteful number, since it uses less digits than its factorization.

20044004004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72569 (or 72564 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

Adding to 20044004004 its reverse (40040044002), we get a palindrome (60084048006).

The spelling of 20044004004 in words is "twenty billion, forty-four million, four thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 43 86 129 172 179 258 358 387 516 537 716 774 1074 1548 1611 2148 3222 6444 7697 15394 23091 30788 46182 69273 72337 92364 138546 144674 217011 277092 289348 434022 651033 868044 1302066 2604132 3110491 6220982 9331473 12441964 12948323 18662946 25896646 27994419 37325892 38844969 51793292 55988838 77689938 111977676 116534907 155379876 233069814 466139628 556777889 1113555778 1670333667 2227111556 3340667334 5011001001 6681334668 10022002002 20044004004