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494001361616 = 247191578211801
BaseRepresentation
bin1110011000001001100…
…01101001001011010000
31202020002210201022100112
413030010301221023100
531043203322032431
61014535135340452
750455546201610
oct7140461511320
91666083638315
10494001361616
11180560987714
127b8a8081728
133777943a9c9
1419ca468aa40
15ccb41b8c2b
hex7304c692d0

494001361616 has 160 divisors (see below), whose sum is σ = 1160821297920. Its totient is φ = 198941184000.

The previous prime is 494001361613. The next prime is 494001361639. The reversal of 494001361616 is 616163100494.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (494001361613) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 274291916 + ... + 274293716.

It is an arithmetic number, because the mean of its divisors is an integer number (7255133112).

Almost surely, 2494001361616 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 494001361616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580410648960).

494001361616 is an abundant number, since it is smaller than the sum of its proper divisors (666819936304).

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

494001361616 is a wasteful number, since it uses less digits than its factorization.

494001361616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2813 (or 2807 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 41.

The spelling of 494001361616 in words is "four hundred ninety-four billion, one million, three hundred sixty-one thousand, six hundred sixteen".

Divisors: 1 2 4 7 8 14 16 19 28 38 56 76 112 133 152 157 266 304 314 532 628 821 1064 1099 1256 1642 1801 2128 2198 2512 2983 3284 3602 4396 5747 5966 6568 7204 8792 11494 11932 12607 13136 14408 15599 17584 20881 22988 23864 25214 28816 31198 34219 41762 45976 47728 50428 62396 68438 83524 91952 100856 109193 124792 128897 136876 167048 201712 218386 239533 249584 257794 273752 282757 334096 436772 479066 515588 547504 565514 873544 902279 958132 1031176 1131028 1478621 1747088 1804558 1916264 1979299 2062352 2262056 2449043 2957242 3609116 3832528 3958598 4524112 4898086 5372383 5914484 7218232 7917196 9796172 10350347 10744766 11828968 14436464 15834392 17143301 19592344 20700694 21489532 23657936 28093799 31668784 34286602 37606681 39184688 41401388 42979064 56187598 68573204 75213362 82802776 85958128 112375196 137146408 150426724 165605552 196656593 224750392 232143497 274292816 300853448 393313186 449500784 464286994 601706896 786626372 928573988 1573252744 1625004479 1857147976 3146505488 3250008958 3714295952 4410726443 6500017916 8821452886 13000035832 17642905772 26000071664 30875085101 35285811544 61750170202 70571623088 123500340404 247000680808 494001361616