Search a number
-
+
3688099016 = 237312837507
BaseRepresentation
bin1101101111010011…
…1110110011001000
3100112000210211201212
43123310332303020
530023123132031
61405544432252
7160252216160
oct33364766310
910460724655
103688099016
111622921418
1286b178688
1346a117a14
1426db635a0
15168bb512b
hexdbd3ecc8

3688099016 has 64 divisors (see below), whose sum is σ = 8187924480. Its totient is φ = 1524018240.

The previous prime is 3688099003. The next prime is 3688099033. The reversal of 3688099016 is 6109908863.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 487535 + ... + 495041.

It is an arithmetic number, because the mean of its divisors is an integer number (127936320).

Almost surely, 23688099016 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 3688099016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4093962240).

3688099016 is an abundant number, since it is smaller than the sum of its proper divisors (4499825464).

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

3688099016 is a wasteful number, since it uses less digits than its factorization.

3688099016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7834 (or 7830 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 50.

The square root of 3688099016 is about 60729.7210268580. The cubic root of 3688099016 is about 1545.0203026905.

The spelling of 3688099016 in words is "three billion, six hundred eighty-eight million, ninety-nine thousand, sixteen".

Divisors: 1 2 4 7 8 14 28 31 56 62 124 217 248 283 434 566 868 1132 1736 1981 2264 3962 7507 7924 8773 15014 15848 17546 30028 35092 52549 60056 61411 70184 105098 122822 210196 232717 245644 420392 465434 491288 930868 1629019 1861736 2124481 3258038 4248962 6516076 8497924 13032152 14871367 16995848 29742734 59485468 65858911 118970936 131717822 263435644 461012377 526871288 922024754 1844049508 3688099016