Search a number
-
+
83257381601 = 1092233425243
BaseRepresentation
bin100110110001010000…
…1101101001011100001
321221220100110012111222
41031202201231023201
52331002342202401
6102125314344425
76005124031652
oct1154241551341
9257810405458
1083257381601
1132344692099
121417688b115
137b0ac44854
14405b61d529
152274453c1b
hex136286d2e1

83257381601 has 8 divisors (see below), whose sum is σ = 84398012160. Its totient is φ = 82123602192.

The previous prime is 83257381583. The next prime is 83257381631. The reversal of 83257381601 is 10618375238.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-83257381601 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (83257381631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1688315 + ... + 1736928.

It is an arithmetic number, because the mean of its divisors is an integer number (10549751520).

Almost surely, 283257381601 is an apocalyptic number.

It is an amenable number.

83257381601 is a deficient number, since it is larger than the sum of its proper divisors (1140630559).

83257381601 is a wasteful number, since it uses less digits than its factorization.

83257381601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3425575.

The product of its (nonzero) digits is 241920, while the sum is 44.

The spelling of 83257381601 in words is "eighty-three billion, two hundred fifty-seven million, three hundred eighty-one thousand, six hundred one".

Divisors: 1 109 223 24307 3425243 373351487 763829189 83257381601