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3994745616 = 24322322292
BaseRepresentation
bin1110111000011010…
…1111101100010000
3101022101211002210100
43232012233230100
531140123324431
61500221132400
7200664530451
oct35606575420
911271732710
103994745616
11176aa25564
129359ba100
134b8801c04
1429c787128
15185a884e6
hexee1afb10

3994745616 has 135 divisors (see below), whose sum is σ = 11738206389. Its totient is φ = 1268125056.

The previous prime is 3994745609. The next prime is 3994745659. The reversal of 3994745616 is 6165474993.

The square root of 3994745616 is 63204.

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

3994745616 is a `hidden beast` number, since 3 + 9 + 9 + 4 + 74 + 561 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3720512016 + 274233600 = 60996^2 + 16560^2 .

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 26 ways as a sum of consecutive naturals, for example, 17444190 + ... + 17444418.

Almost surely, 23994745616 is an apocalyptic number.

3994745616 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3994745616 is the 63204-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3994745616

3994745616 is an abundant number, since it is smaller than the sum of its proper divisors (7743460773).

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

3994745616 is a wasteful number, since it uses less digits than its factorization.

3994745616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 257 counting only the distinct ones).

The product of its digits is 4898880, while the sum is 54.

The cubic root of 3994745616 is about 1586.7056795090.

The spelling of 3994745616 in words is "three billion, nine hundred ninety-four million, seven hundred forty-five thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 92 138 144 184 207 229 276 368 414 458 529 552 687 828 916 1058 1104 1374 1587 1656 1832 2061 2116 2748 3174 3312 3664 4122 4232 4761 5267 5496 6348 8244 8464 9522 10534 10992 12696 15801 16488 19044 21068 25392 31602 32976 38088 42136 47403 52441 63204 76176 84272 94806 104882 121141 126408 157323 189612 209764 242282 252816 314646 363423 379224 419528 471969 484564 629292 726846 758448 839056 943938 969128 1090269 1206143 1258584 1453692 1887876 1938256 2180538 2412286 2517168 2907384 3618429 3775752 4361076 4824572 5814768 7236858 7551504 8722152 9649144 10855287 14473716 17444304 19298288 21710574 27741289 28947432 43421148 55482578 57894864 83223867 86842296 110965156 166447734 173684592 221930312 249671601 332895468 443860624 499343202 665790936 998686404 1331581872 1997372808 3994745616