Search a number
-
+
20466616500 = 223253111133659
BaseRepresentation
bin10011000011111001…
…111100100010110100
31221211100112211202100
4103003321330202310
5313403423212000
613222514342100
71323116240601
oct230371744264
957740484670
1020466616500
1187529649a0
123b7228a930
131c12271985
14dc226b6a8
157ebbdca00
hex4c3e7c8b4

20466616500 has 288 divisors, whose sum is σ = 71077668480. Its totient is φ = 4916352000.

The previous prime is 20466616477. The next prime is 20466616501. The reversal of 20466616500 is 561666402.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20466616501) 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, 5591671 + ... + 5595329.

It is an arithmetic number, because the mean of its divisors is an integer number (246797460).

Almost surely, 220466616500 is an apocalyptic number.

20466616500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20466616500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35538834240).

20466616500 is an abundant number, since it is smaller than the sum of its proper divisors (50611051980).

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

20466616500 is a wasteful number, since it uses less digits than its factorization.

20466616500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3808 (or 3793 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 20466616500 in words is "twenty billion, four hundred sixty-six million, six hundred sixteen thousand, five hundred".