Search a number
-
+
74367083488 = 25231632632357
BaseRepresentation
bin100010101000010011…
…1111010001111100000
321002221202210021012111
41011100213322033200
52204300433132423
654055212405104
75241612531325
oct1052047721740
9232852707174
1074367083488
11295a2309585
12124b5476794
137022124019
143856a02b4c
151e03be660d
hex11509fa3e0

74367083488 has 96 divisors (see below), whose sum is σ = 154363055616. Its totient is φ = 35199318528.

The previous prime is 74367083477. The next prime is 74367083519. The reversal of 74367083488 is 88438076347.

It is a happy number.

It is a super-2 number, since 2×743670834882 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 31550406 + ... + 31552762.

It is an arithmetic number, because the mean of its divisors is an integer number (1607948496).

Almost surely, 274367083488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74367083488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77181527808).

74367083488 is an abundant number, since it is smaller than the sum of its proper divisors (79995972128).

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

74367083488 is a wasteful number, since it uses less digits than its factorization.

74367083488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2816 (or 2808 counting only the distinct ones).

The product of its (nonzero) digits is 21676032, while the sum is 58.

The spelling of 74367083488 in words is "seventy-four billion, three hundred sixty-seven million, eighty-three thousand, four hundred eighty-eight".

Divisors: 1 2 4 8 16 23 32 46 92 163 184 263 326 368 526 652 736 1052 1304 2104 2357 2608 3749 4208 4714 5216 6049 7498 8416 9428 12098 14996 18856 24196 29992 37712 42869 48392 54211 59984 75424 85738 96784 108422 119968 171476 193568 216844 342952 384191 433688 619891 685904 768382 867376 985987 1239782 1371808 1536764 1734752 1971974 2479564 3073528 3943948 4959128 6147056 7887896 8836393 9918256 12294112 14257493 15775792 17672786 19836512 28514986 31551584 35345572 57029972 70691144 101042233 114059944 141382288 202084466 228119888 282764576 404168932 456239776 808337864 1616675728 2323971359 3233351456 4647942718 9295885436 18591770872 37183541744 74367083488