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4947668096 = 277191631783
BaseRepresentation
bin1001001101110011…
…10110110010000000
3110202210220120200112
410212321312302000
540113100334341
62134541410452
7233415325220
oct44671666200
913683816615
104947668096
1121099142a8
12b60b69a28
1360b067c77
1434d15c080
151de56aaeb
hex126e76c80

4947668096 has 128 divisors (see below), whose sum is σ = 11937100800. Its totient is φ = 1995383808.

The previous prime is 4947668081. The next prime is 4947668149. The reversal of 4947668096 is 6908667494.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2774021 + ... + 2775803.

It is an arithmetic number, because the mean of its divisors is an integer number (93258600).

Almost surely, 24947668096 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 4947668096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5968550400).

4947668096 is an abundant number, since it is smaller than the sum of its proper divisors (6989432704).

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

4947668096 is a wasteful number, since it uses less digits than its factorization.

4947668096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1986 (or 1974 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 59.

The square root of 4947668096 is about 70339.6623250354. The cubic root of 4947668096 is about 1703.9892583834.

The spelling of 4947668096 in words is "four billion, nine hundred forty-seven million, six hundred sixty-eight thousand, ninety-six".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 128 133 152 163 224 266 304 326 448 532 608 652 896 1064 1141 1216 1304 1783 2128 2282 2432 2608 3097 3566 4256 4564 5216 6194 7132 8512 9128 10432 12388 12481 14264 17024 18256 20864 21679 24776 24962 28528 33877 36512 43358 49552 49924 57056 67754 73024 86716 99104 99848 114112 135508 146048 173432 198208 199696 228224 237139 271016 290629 346864 396416 399392 474278 542032 581258 693728 798784 948556 1084064 1162516 1387456 1597568 1897112 2034403 2168128 2325032 2774912 3794224 4068806 4336256 4650064 5521951 7588448 8137612 9300128 11043902 15176896 16275224 18600256 22087804 30353792 32550448 37200512 38653657 44175608 65100896 77307314 88351216 130201792 154614628 176702432 260403584 309229256 353404864 618458512 706809728 1236917024 2473834048 4947668096