Search a number
-
+
9778051296 = 25331317411249
BaseRepresentation
bin10010001101101000…
…10011100011100000
3221020110010110202000
421012310103203200
5130011140120141
64254133324000
7464211031116
oct110664234340
927213113660
109778051296
114168500732
121a8a796600
13bcaa19a90
1468a8a9ab6
153c366a5b6
hex246d138e0

9778051296 has 384 divisors, whose sum is σ = 33339600000. Its totient is φ = 2760376320.

The previous prime is 9778051267. The next prime is 9778051333. The reversal of 9778051296 is 6921508779.

It is a super-2 number, since 2×97780512962 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7828080 + ... + 7829328.

It is an arithmetic number, because the mean of its divisors is an integer number (86821875).

Almost surely, 29778051296 is an apocalyptic number.

9778051296 is a gapful number since it is divisible by the number (96) 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 9778051296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16669800000).

9778051296 is an abundant number, since it is smaller than the sum of its proper divisors (23561548704).

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

9778051296 is a wasteful number, since it uses less digits than its factorization.

9778051296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1339 (or 1325 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 54.

The square root of 9778051296 is about 98884.0295295454. The cubic root of 9778051296 is about 2138.3761588815.

The spelling of 9778051296 in words is "nine billion, seven hundred seventy-eight million, fifty-one thousand, two hundred ninety-six".