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3874019968 = 27721347513
BaseRepresentation
bin1110011011101000…
…1101101010000000
3100222222122121100001
43212322031222000
530413222114333
61440225405344
7165000424600
oct34672155200
910888577301
103874019968
1117088685a5
12901499854
134997b2910
1428a71cc00
1517a18cb7d
hexe6e8da80

3874019968 has 96 divisors (see below), whose sum is σ = 9668623860. Its totient is φ = 1532547072.

The previous prime is 3874019939. The next prime is 3874020011. The reversal of 3874019968 is 8699104783.

It can be written as a sum of positive squares in 2 ways, for example, as 3437711424 + 436308544 = 58632^2 + 20888^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 57780 + ... + 105292.

Almost surely, 23874019968 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 3874019968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4834311930).

3874019968 is an abundant number, since it is smaller than the sum of its proper divisors (5794603892).

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

3874019968 is a wasteful number, since it uses less digits than its factorization.

3874019968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47554 (or 47535 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 55.

The square root of 3874019968 is about 62241.6256857097. The cubic root of 3874019968 is about 1570.5578998240.

The spelling of 3874019968 in words is "three billion, eight hundred seventy-four million, nineteen thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 49 52 56 64 91 98 104 112 128 182 196 208 224 364 392 416 448 637 728 784 832 896 1274 1456 1568 1664 2548 2912 3136 5096 5824 6272 10192 11648 20384 40768 47513 81536 95026 190052 332591 380104 617669 665182 760208 1235338 1330364 1520416 2328137 2470676 2660728 3040832 4323683 4656274 4941352 5321456 6081664 8647366 9312548 9882704 10642912 17294732 18625096 19765408 21285824 30265781 34589464 37250192 39530816 42571648 60531562 69178928 74500384 79061632 121063124 138357856 149000768 242126248 276715712 298001536 484252496 553431424 968504992 1937009984 3874019968