Search a number
-
+
20002342176 = 25347716953
BaseRepresentation
bin10010101000001110…
…111000010100100000
31220121222221021010000
4102220032320110200
5311431044422201
613104451340000
71305451050255
oct225016702440
956558837100
1020002342176
118534889803
123a628b1600
131b6a017a3b
14d7a73542c
157c107ed86
hex4a83b8520

20002342176 has 60 divisors (see below), whose sum is σ = 58826340342. Its totient is φ = 6667446528.

The previous prime is 20002342153. The next prime is 20002342177. The reversal of 20002342176 is 67124320002.

It can be written as a sum of positive squares in only one way, i.e., 19120252176 + 882090000 = 138276^2 + 29700^2 .

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

It is not an unprimeable number, because it can be changed into a prime (20002342177) 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 9 ways as a sum of consecutive naturals, for example, 3855885 + ... + 3861068.

Almost surely, 220002342176 is an apocalyptic number.

It is an amenable number.

20002342176 is an abundant number, since it is smaller than the sum of its proper divisors (38823998166).

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

20002342176 is an equidigital number, since it uses as much as digits as its factorization.

20002342176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7716975 (or 7716958 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

Adding to 20002342176 its reverse (67124320002), we get a palindrome (87126662178).

The spelling of 20002342176 in words is "twenty billion, two million, three hundred forty-two thousand, one hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 7716953 15433906 23150859 30867812 46301718 61735624 69452577 92603436 123471248 138905154 185206872 208357731 246942496 277810308 370413744 416715462 555620616 625073193 740827488 833430924 1111241232 1250146386 1666861848 2222482464 2500292772 3333723696 5000585544 6667447392 10001171088 20002342176