Search a number
-
+
20235609216 = 27351997353
BaseRepresentation
bin10010110110001000…
…101110010010000000
31221020020212110100000
4102312020232102000
5312420303443331
613143543200000
71314312561144
oct226610562200
957206773300
1020235609216
118644523789
123b08a46000
131ba644c084
14d9d6d7224
157d67ab0e6
hex4b622e480

20235609216 has 384 divisors, whose sum is σ = 64402228800. Its totient is φ = 6306398208.

The previous prime is 20235609187. The next prime is 20235609221. The reversal of 20235609216 is 61290653202.

20235609216 is a `hidden beast` number, since 2 + 0 + 2 + 3 + 560 + 92 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 57324496 + ... + 57324848.

Almost surely, 220235609216 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 20235609216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32201114400).

20235609216 is an abundant number, since it is smaller than the sum of its proper divisors (44166619584).

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

20235609216 is an equidigital number, since it uses as much as digits as its factorization.

20235609216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 20235609216 in words is "twenty billion, two hundred thirty-five million, six hundred nine thousand, two hundred sixteen".