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3744812864 = 2613326633
BaseRepresentation
bin1101111100110101…
…0100111101000000
3100122222112012111202
43133031110331000
530132133002424
61415332200332
7161541245522
oct33715247500
910588465452
103744812864
111651938371
128861690a8
13478ab4000
142774c7a12
1516db692ae
hexdf354f40

3744812864 has 56 divisors (see below), whose sum is σ = 8050392840. Its totient is φ = 1728310272.

The previous prime is 3744812839. The next prime is 3744812893. The reversal of 3744812864 is 4682184473.

It can be written as a sum of positive squares in 4 ways, for example, as 215502400 + 3529310464 = 14680^2 + 59408^2 .

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 127292 + ... + 153924.

It is an arithmetic number, because the mean of its divisors is an integer number (143757015).

Almost surely, 23744812864 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 3744812864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4025196420).

3744812864 is an abundant number, since it is smaller than the sum of its proper divisors (4305579976).

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

3744812864 is an equidigital number, since it uses as much as digits as its factorization.

3744812864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26684 (or 26648 counting only the distinct ones).

The product of its digits is 1032192, while the sum is 47.

The square root of 3744812864 is about 61194.8761253751. The cubic root of 3744812864 is about 1552.8995829854.

The spelling of 3744812864 in words is "three billion, seven hundred forty-four million, eight hundred twelve thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 169 208 338 416 676 832 1352 2197 2704 4394 5408 8788 10816 17576 26633 35152 53266 70304 106532 140608 213064 346229 426128 692458 852256 1384916 1704512 2769832 4500977 5539664 9001954 11079328 18003908 22158656 36007816 58512701 72015632 117025402 144031264 234050804 288062528 468101608 936203216 1872406432 3744812864