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20013141978 = 23219419139661
BaseRepresentation
bin10010101000111000…
…000100111111011010
31220122202020221122200
4102220320010333122
5311441331020403
613105515031030
71305641620464
oct225070047732
956582227580
1020013141978
11853a995865
123a6643b476
131b6c32965b
14d7bd47134
157c1eb4ca3
hex4a8e04fda

20013141978 has 48 divisors (see below), whose sum is σ = 45753271200. Its totient is φ = 6304811040.

The previous prime is 20013141977. The next prime is 20013141979. The reversal of 20013141978 is 87914131002.

It is a happy number.

20013141978 is a `hidden beast` number, since 200 + 1 + 31 + 419 + 7 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (20013141977) and next prime (20013141979).

It is not an unprimeable number, because it can be changed into a prime (20013141971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73468 + ... + 213128.

It is an arithmetic number, because the mean of its divisors is an integer number (953193150).

Almost surely, 220013141978 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20013141978, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22876635600).

20013141978 is an abundant number, since it is smaller than the sum of its proper divisors (25740129222).

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

20013141978 is a wasteful number, since it uses less digits than its factorization.

20013141978 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140107 (or 140104 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 20013141978 in words is "twenty billion, thirteen million, one hundred forty-one thousand, nine hundred seventy-eight".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 342 419 838 1257 2514 3771 7542 7961 15922 23883 47766 71649 139661 143298 279322 418983 837966 1256949 2513898 2653559 5307118 7960677 15921354 23882031 47764062 58517959 117035918 175553877 351107754 526661631 1053323262 1111841221 2223682442 3335523663 6671047326 10006570989 20013141978