Search a number
-
+
83117710128787 = 1072069333753877
BaseRepresentation
bin10010111001100001011001…
…100101100011011010010011
3101220021222100010111101210121
4102321201121211203122103
541343300032243110122
6452435425432411111
723336025225012445
oct2271413145433223
9356258303441717
1083117710128787
1124536028547894
1293a4928b46a97
13374bc7433c6a9
141674cc0a40495
159921380b2bc7
hex4b9859963693

83117710128787 has 8 divisors (see below), whose sum is σ = 83894938925616. Its totient is φ = 82340489253792.

The previous prime is 83117710128769. The next prime is 83117710128793. The reversal of 83117710128787 is 78782101771138.

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-83117710128787 is a prime.

It is a super-2 number, since 2×831177101287872 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (83117710128727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20264893 + ... + 24018769.

It is an arithmetic number, because the mean of its divisors is an integer number (10486867365702).

Almost surely, 283117710128787 is an apocalyptic number.

83117710128787 is a deficient number, since it is larger than the sum of its proper divisors (777228796829).

83117710128787 is a wasteful number, since it uses less digits than its factorization.

83117710128787 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3960917.

The product of its (nonzero) digits is 7375872, while the sum is 61.

The spelling of 83117710128787 in words is "eighty-three trillion, one hundred seventeen billion, seven hundred ten million, one hundred twenty-eight thousand, seven hundred eighty-seven".

Divisors: 1 107 206933 3753877 22141831 401664839 776801029241 83117710128787