Search a number
-
+
20768163312 = 2431331259587
BaseRepresentation
bin10011010101111000…
…010000010111110000
31222121100222000012210
4103111320100113300
5320013122211222
613312445452120
71333440322041
oct232570202760
958540860183
1020768163312
1188980a5536
124037271040
131c5c891840
1410103248c8
15818404d0c
hex4d5e105f0

20768163312 has 240 divisors, whose sum is σ = 60817357440. Its totient is φ = 6068897280.

The previous prime is 20768163287. The next prime is 20768163341. The reversal of 20768163312 is 21336186702.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35379883 + ... + 35380469.

It is an arithmetic number, because the mean of its divisors is an integer number (253405656).

Almost surely, 220768163312 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 20768163312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30408678720).

20768163312 is an abundant number, since it is smaller than the sum of its proper divisors (40049194128).

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

20768163312 is a wasteful number, since it uses less digits than its factorization.

20768163312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 732 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The spelling of 20768163312 in words is "twenty billion, seven hundred sixty-eight million, one hundred sixty-three thousand, three hundred twelve".