Search a number
-
+
238010348077056 = 222310312
BaseRepresentation
bin110110000111100000011010…
…010000000000000000000000
31011012201120022101110000000000
4312013200122100000000000
5222144030143101431211
62202112240000000000
7101063452206153162
oct6607403220000000
91135646271400000
10238010348077056
1169923692633035
1222840000000000
13a2a63831415a9
1442aba95adc932
151c7b2de4e5656
hexd8781a400000

238010348077056 has 759 divisors, whose sum is σ = 737803059196323. Its totient is φ = 76777531637760.

The previous prime is 238010348077003. The next prime is 238010348077079. The reversal of 238010348077056 is 650770843010832.

It is a happy number.

The square root of 238010348077056 is 15427584.

It is a perfect power (a square), and thus also a powerful number.

238010348077056 is a `hidden beast` number, since 2 + 3 + 8 + 0 + 103 + 480 + 7 + 7 + 0 + 56 = 666.

It is a super-2 number, since 2×2380103480770562 (a number of 30 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 238010348076993 and 238010348077011.

It is an unprimeable number.

It is a polite number, since it can be written in 32 ways as a sum of consecutive naturals, for example, 7677753163761 + ... + 7677753163791.

Almost surely, 2238010348077056 is an apocalyptic number.

238010348077056 is the 15427584-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 238010348077056

238010348077056 is an abundant number, since it is smaller than the sum of its proper divisors (499792711119267).

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

238010348077056 is an frugal number, since it uses more digits than its factorization.

238010348077056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 238010348077056 in words is "two hundred thirty-eight trillion, ten billion, three hundred forty-eight million, seventy-seven thousand, fifty-six".