Search a number
-
+
74005707759 = 31719316934441
BaseRepresentation
bin100010011101100010…
…1010111101111101111
321002000120210110220020
41010323011113233233
52203030430122014
653555303053223
75226634064634
oct1047305275757
9232016713806
1074005707759
1129427324655
1212414441213
136c952b7029
143820a1418b
151dd21121a9
hex113b157bef

74005707759 has 32 divisors (see below), whose sum is σ = 105105680064. Its totient is φ = 46156677120.

The previous prime is 74005707749. The next prime is 74005707767. The reversal of 74005707759 is 95770750047.

It is not a de Polignac number, because 74005707759 - 231 = 71858224111 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74005707749) 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 31 ways as a sum of consecutive naturals, for example, 16661979 + ... + 16666419.

It is an arithmetic number, because the mean of its divisors is an integer number (3284552502).

Almost surely, 274005707759 is an apocalyptic number.

74005707759 is a deficient number, since it is larger than the sum of its proper divisors (31099972305).

74005707759 is a wasteful number, since it uses less digits than its factorization.

74005707759 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6347.

The product of its (nonzero) digits is 2160900, while the sum is 51.

The spelling of 74005707759 in words is "seventy-four billion, five million, seven hundred seven thousand, seven hundred fifty-nine".

Divisors: 1 3 17 51 193 579 1693 3281 4441 5079 9843 13323 28781 75497 86343 226491 326749 857113 980247 2571339 5554733 7518613 14570921 16664199 22555839 43712763 127816421 383449263 1451092309 4353276927 24668569253 74005707759