Search a number
-
+
2308345113312 = 2533710110735317
BaseRepresentation
bin100001100101110100000…
…101110010101011100000
322011200020112120120002000
4201211310011302223200
5300304442322111222
64524234502524000
7325525641503010
oct41456405625340
98150215516060
102308345113312
1180aa66702247
12313458136600
131398a326ac44
147da20053c40
15400a31079ac
hex21974172ae0

2308345113312 has 384 divisors, whose sum is σ = 7843511854080. Its totient is φ = 646876108800.

The previous prime is 2308345113287. The next prime is 2308345113317. The reversal of 2308345113312 is 2133115438032.

2308345113312 is a `hidden beast` number, since 2 + 30 + 83 + 4 + 511 + 3 + 31 + 2 = 666.

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 (2308345113317) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 65343078 + ... + 65378394.

It is an arithmetic number, because the mean of its divisors is an integer number (20425812120).

Almost surely, 22308345113312 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 2308345113312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3921755927040).

2308345113312 is an abundant number, since it is smaller than the sum of its proper divisors (5535166740768).

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

2308345113312 is a wasteful number, since it uses less digits than its factorization.

2308345113312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35551 (or 35537 counting only the distinct ones).

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

The spelling of 2308345113312 in words is "two trillion, three hundred eight billion, three hundred forty-five million, one hundred thirteen thousand, three hundred twelve".