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20040604002 = 23237149201953
BaseRepresentation
bin10010101010100000…
…110101100101100010
31220201122221011110200
4102222200311211202
5312020343312002
613112335410030
71306424215626
oct225240654542
956648834420
1020040604002
118554442451
123a73683916
131b74c23383
14d81855186
157c45dbb1c
hex4aa835962

20040604002 has 48 divisors (see below), whose sum is σ = 44894374200. Its totient is φ = 6456001536.

The previous prime is 20040603983. The next prime is 20040604009.

20040604002 is a `hidden beast` number, since 20 + 0 + 40 + 604 + 0 + 0 + 2 = 666.

20040604002 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 18287423361 + 1753180641 = 135231^2 + 41871^2 .

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

It is not an unprimeable number, because it can be changed into a prime (20040604009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1743 + ... + 200210.

Almost surely, 220040604002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20040604002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22447187100).

20040604002 is an abundant number, since it is smaller than the sum of its proper divisors (24853770198).

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

20040604002 is a wasteful number, since it uses less digits than its factorization.

20040604002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202147 (or 202144 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The spelling of 20040604002 in words is "twenty billion, forty million, six hundred four thousand, two".

Divisors: 1 2 3 6 9 18 37 74 111 149 222 298 333 447 666 894 1341 2682 5513 11026 16539 33078 49617 99234 201953 403906 605859 1211718 1817577 3635154 7472261 14944522 22416783 30090997 44833566 60181994 67250349 90272991 134500698 180545982 270818973 541637946 1113366889 2226733778 3340100667 6680201334 10020302001 20040604002