Search a number
-
+
20002602816 = 263272798971
BaseRepresentation
bin10010101000001111…
…110111111101000000
31220122000102111122100
4102220033313331000
5311431131242231
613104501110400
71305453214200
oct225017677500
956560374570
1020002602816
118534a47609
123a629b8400
131b6a0a9571
14d7a7a2400
157c10d21e6
hex4a83f7f40

20002602816 has 252 divisors, whose sum is σ = 67546240320. Its totient is φ = 5642058240.

The previous prime is 20002602793. The next prime is 20002602833. The reversal of 20002602816 is 61820620002.

It is a tau number, because it is divible by the number of its divisors (252).

It is a super-2 number, since 2×200026028162 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 20002602816.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2225211 + ... + 2234181.

Almost surely, 220002602816 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 20002602816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33773120160).

20002602816 is an abundant number, since it is smaller than the sum of its proper divisors (47543637504).

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

20002602816 is a wasteful number, since it uses less digits than its factorization.

20002602816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9082 (or 9062 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 20002602816 in words is "twenty billion, two million, six hundred two thousand, eight hundred sixteen".