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927116485152 = 2531121331732713
BaseRepresentation
bin11010111110111000111…
…00101110001000100000
310021122001100020020212020
431133130130232020200
5110142213310011102
61545524511501440
7123660545045364
oct15373434561040
93248040206766
10927116485152
113282080a4500
1212b821527880
1369571632ab0
1432c308ab2a4
15191b2e20bbc
hexd7dc72e220

927116485152 has 576 divisors, whose sum is σ = 3015586280448. Its totient is φ = 247438540800.

The previous prime is 927116485147. The next prime is 927116485153. The reversal of 927116485152 is 251584611729.

927116485152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 927116485095 and 927116485104.

It is not an unprimeable number, because it can be changed into a prime (927116485153) 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, 341729748 + ... + 341732460.

It is an arithmetic number, because the mean of its divisors is an integer number (5235392848).

Almost surely, 2927116485152 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 927116485152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1507793140224).

927116485152 is an abundant number, since it is smaller than the sum of its proper divisors (2088469795296).

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

927116485152 is a wasteful number, since it uses less digits than its factorization.

927116485152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2865 (or 2846 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 51.

The spelling of 927116485152 in words is "nine hundred twenty-seven billion, one hundred sixteen million, four hundred eighty-five thousand, one hundred fifty-two".