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3969089344 = 2611103127431
BaseRepresentation
bin1110110010010011…
…0111111101000000
3101020121112122000001
43230210313331000
531112041324334
61453503205344
7200233463023
oct35444677500
911217478001
103969089344
1117574a1630
129292a6854
134b33bb09c
142991c91ba
151836bb714
hexec937f40

3969089344 has 112 divisors (see below), whose sum is σ = 8764194816. Its totient is φ = 1768435200.

The previous prime is 3969089291. The next prime is 3969089381. The reversal of 3969089344 is 4439809693.

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 15 ways as a sum of consecutive naturals, for example, 9208809 + ... + 9209239.

Almost surely, 23969089344 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 3969089344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4382097408).

3969089344 is an abundant number, since it is smaller than the sum of its proper divisors (4795105472).

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

3969089344 is a wasteful number, since it uses less digits than its factorization.

3969089344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684 (or 674 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 55.

The square root of 3969089344 is about 63000.7090753747. The cubic root of 3969089344 is about 1583.3015064726.

The spelling of 3969089344 in words is "three billion, nine hundred sixty-nine million, eighty-nine thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 103 127 176 206 254 352 412 431 508 704 824 862 1016 1133 1397 1648 1724 2032 2266 2794 3296 3448 4064 4532 4741 5588 6592 6896 8128 9064 9482 11176 13081 13792 18128 18964 22352 26162 27584 36256 37928 44393 44704 52324 54737 72512 75856 88786 89408 104648 109474 143891 151712 177572 209296 218948 287782 303424 355144 418592 437896 488323 575564 602107 710288 837184 875792 976646 1151128 1204214 1420576 1751584 1953292 2302256 2408428 2841152 3503168 3906584 4604512 4816856 5637911 7813168 9209024 9633712 11275822 15626336 19267424 22551644 31252672 38534848 45103288 62017021 90206576 124034042 180413152 248068084 360826304 496136168 992272336 1984544672 3969089344