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230757660000 = 253654721719
BaseRepresentation
bin1101011011101000111…
…0100111010101100000
3211001121220020201000000
43112322032213111200
512240042430110000
6254001505300000
722446250514100
oct3267216472540
9731556221000
10230757660000
118995575741a
1238880334600
13189b66614aa
14b250dd3200
156008860000
hex35ba3a7560

230757660000 has 2520 divisors, whose sum is σ = 1103542597080. Its totient is φ = 47029248000.

The previous prime is 230757659971. The next prime is 230757660013. The reversal of 230757660000 is 66757032.

It is a happy number.

230757660000 is a `hidden beast` number, since 23 + 0 + 7 + 576 + 60 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2520).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 419 ways as a sum of consecutive naturals, for example, 12145139991 + ... + 12145140009.

It is an arithmetic number, because the mean of its divisors is an integer number (437913729).

Almost surely, 2230757660000 is an apocalyptic number.

230757660000 is a gapful number since it is divisible by the number (20) 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 230757660000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551771298540).

230757660000 is an abundant number, since it is smaller than the sum of its proper divisors (872784937080).

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

230757660000 is an equidigital number, since it uses as much as digits as its factorization.

230757660000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The spelling of 230757660000 in words is "two hundred thirty billion, seven hundred fifty-seven million, six hundred sixty thousand".