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20233395468 = 2232111329313433
BaseRepresentation
bin10010110110000000…
…010001110100001100
31221020002200222122100
4102312000101310030
5312414222123333
613143423515100
71314255011106
oct226600216414
957202628570
1020233395468
118643251540
123b08158a90
131ba5b55570
14d9d2bc576
157d64c0213
hex4b6011d0c

20233395468 has 288 divisors, whose sum is σ = 62501624640. Its totient is φ = 5434490880.

The previous prime is 20233395443. The next prime is 20233395503. The reversal of 20233395468 is 86459333202.

20233395468 is a `hidden beast` number, since 20 + 233 + 395 + 4 + 6 + 8 = 666.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 46728180 + ... + 46728612.

It is an arithmetic number, because the mean of its divisors is an integer number (217019530).

Almost surely, 220233395468 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 20233395468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31250812320).

20233395468 is an abundant number, since it is smaller than the sum of its proper divisors (42268229172).

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

20233395468 is a wasteful number, since it uses less digits than its factorization.

20233395468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 809 (or 804 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 20233395468 in words is "twenty billion, two hundred thirty-three million, three hundred ninety-five thousand, four hundred sixty-eight".