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2068699824 = 24351573389
BaseRepresentation
bin111101101001101…
…1101101010110000
312100011121211200000
41323103131222300
513214041343244
6541135230000
7102156441552
oct17323355260
95304554600
102068699824
119717aa884
12498978300
1326c77c149
14158a5d4d2
15c1933169
hex7b4ddab0

2068699824 has 120 divisors (see below), whose sum is σ = 6043936080. Its totient is φ = 684972288.

The previous prime is 2068699823. The next prime is 2068699939. The reversal of 2068699824 is 4289968602.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2068699823) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 608722 + ... + 612110.

It is an arithmetic number, because the mean of its divisors is an integer number (50366134).

Almost surely, 22068699824 is an apocalyptic number.

2068699824 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2068699824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3021968040).

2068699824 is an abundant number, since it is smaller than the sum of its proper divisors (3975236256).

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

2068699824 is a wasteful number, since it uses less digits than its factorization.

2068699824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3569 (or 3551 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The square root of 2068699824 is about 45482.9619088291. The cubic root of 2068699824 is about 1274.1850127305.

The spelling of 2068699824 in words is "two billion, sixty-eight million, six hundred ninety-nine thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 157 162 216 243 314 324 432 471 486 628 648 942 972 1256 1296 1413 1884 1944 2512 2826 3389 3768 3888 4239 5652 6778 7536 8478 10167 11304 12717 13556 16956 20334 22608 25434 27112 30501 33912 38151 40668 50868 54224 61002 67824 76302 81336 91503 101736 122004 152604 162672 183006 203472 244008 274509 305208 366012 488016 532073 549018 610416 732024 823527 1064146 1098036 1464048 1596219 1647054 2128292 2196072 3192438 3294108 4256584 4392144 4788657 6384876 6588216 8513168 9577314 12769752 13176432 14365971 19154628 25539504 28731942 38309256 43097913 57463884 76618512 86195826 114927768 129293739 172391652 229855536 258587478 344783304 517174956 689566608 1034349912 2068699824