Search a number
-
+
20167930692 = 22337132433671
BaseRepresentation
bin10010110010000110…
…100011001101000100
31221001112112000212000
4102302012203031010
5312300442240232
613133124425300
71312531403520
oct226206431504
957045460760
1020167930692
11860a2a8918
123aaa248230
131b95414100
14d9471ad80
157d088d27c
hex4b21a3344

20167930692 has 288 divisors, whose sum is σ = 66229954560. Its totient is φ = 5193901440.

The previous prime is 20167930681. The next prime is 20167930693. The reversal of 20167930692 is 29603976102.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (20167930693) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5492017 + ... + 5495687.

It is an arithmetic number, because the mean of its divisors is an integer number (229965120).

Almost surely, 220167930692 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 20167930692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33114977280).

20167930692 is an abundant number, since it is smaller than the sum of its proper divisors (46062023868).

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

20167930692 is a wasteful number, since it uses less digits than its factorization.

20167930692 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3760 (or 3739 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 20167930692 in words is "twenty billion, one hundred sixty-seven million, nine hundred thirty thousand, six hundred ninety-two".