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74323845376 = 2811215492
BaseRepresentation
bin100010100111000001…
…0111110000100000000
321002211202102112122221
41011032002332010000
52204203401023001
654051025540424
75240546155564
oct1051602760400
9232752375587
1074323845376
112957a967100
12124a2aa4714
137016195641
143850d896a4
151e000051a1
hex114e0be100

74323845376 has 81 divisors (see below), whose sum is σ = 163175832813. Its totient is φ = 33761756160.

The previous prime is 74323845331. The next prime is 74323845389. The reversal of 74323845376 is 67354832347.

The square root of 74323845376 is 272624.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 25146347776 + 49177497600 = 158576^2 + 221760^2 .

It is a Duffinian number.

Its product of digits (10160640) is a multiple of the sum of its prime factors (3136).

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 47981050 + ... + 47982598.

Almost surely, 274323845376 is an apocalyptic number.

74323845376 is the 272624-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74323845376

74323845376 is an abundant number, since it is smaller than the sum of its proper divisors (88851987437).

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

74323845376 is an frugal number, since it uses more digits than its factorization.

74323845376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3136 (or 1562 counting only the distinct ones).

The product of its digits is 10160640, while the sum is 52.

The spelling of 74323845376 in words is "seventy-four billion, three hundred twenty-three million, eight hundred forty-five thousand, three hundred seventy-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 256 352 484 704 968 1408 1549 1936 2816 3098 3872 6196 7744 12392 15488 17039 24784 30976 34078 49568 68156 99136 136312 187429 198272 272624 374858 396544 545248 749716 1090496 1499432 2180992 2399401 2998864 4361984 4798802 5997728 9597604 11995456 19195208 23990912 26393411 38390416 47981824 52786822 76780832 105573644 153561664 211147288 290327521 307123328 422294576 580655042 614246656 844589152 1161310084 1689178304 2322620168 3378356608 4645240336 6756713216 9290480672 18580961344 37161922688 74323845376