Search a number
-
+
74096908256 = 257330789769
BaseRepresentation
bin100010100000010000…
…1010001011111100000
321002020221101221110102
41011000201101133200
52203222302031011
654012321521532
75232122220410
oct1050041213740
9232227357412
1074096908256
1129473855968
121243aaa32a8
136cab169517
14382cb94640
151dda12973b
hex11408517e0

74096908256 has 24 divisors (see below), whose sum is σ = 166718044080. Its totient is φ = 31755817728.

The previous prime is 74096908253. The next prime is 74096908289. The reversal of 74096908256 is 65280969047.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74096908253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 165394661 + ... + 165395108.

It is an arithmetic number, because the mean of its divisors is an integer number (6946585170).

Almost surely, 274096908256 is an apocalyptic number.

It is an amenable number.

74096908256 is an abundant number, since it is smaller than the sum of its proper divisors (92621135824).

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

74096908256 is a wasteful number, since it uses less digits than its factorization.

74096908256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330789786 (or 330789778 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 56.

The spelling of 74096908256 in words is "seventy-four billion, ninety-six million, nine hundred eight thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 330789769 661579538 1323159076 2315528383 2646318152 4631056766 5292636304 9262113532 10585272608 18524227064 37048454128 74096908256