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5659831680 = 273513721517
BaseRepresentation
bin1010100010101101…
…00010110110000000
3112121102222020110120
411101112202312000
543042404103210
62333341500240
7260153526666
oct52126426600
915542866416
105659831680
112444911348
12111b571680
136c2775939
143b9980c36
15231d42270
hex1515a2d80

5659831680 has 128 divisors (see below), whose sum is σ = 18173242080. Its totient is φ = 1498202112.

The previous prime is 5659831657. The next prime is 5659831733. The reversal of 5659831680 is 861389565.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 252282 + ... + 273798.

Almost surely, 25659831680 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 5659831680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9086621040).

5659831680 is an abundant number, since it is smaller than the sum of its proper divisors (12513410400).

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

5659831680 is a wasteful number, since it uses less digits than its factorization.

5659831680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21676 (or 21664 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 51.

The square root of 5659831680 is about 75231.8528284396. The cubic root of 5659831680 is about 1782.1099920644.

The spelling of 5659831680 in words is "five billion, six hundred fifty-nine million, eight hundred thirty-one thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 137 160 192 240 274 320 384 411 480 548 640 685 822 960 1096 1370 1644 1920 2055 2192 2740 3288 4110 4384 5480 6576 8220 8768 10960 13152 16440 17536 21517 21920 26304 32880 43034 43840 52608 64551 65760 86068 87680 107585 129102 131520 172136 215170 258204 263040 322755 344272 430340 516408 645510 688544 860680 1032816 1291020 1377088 1721360 2065632 2582040 2754176 2947829 3442720 4131264 5164080 5895658 6885440 8262528 8843487 10328160 11791316 13770880 14739145 17686974 20656320 23582632 29478290 35373948 41312640 44217435 47165264 58956580 70747896 88434870 94330528 117913160 141495792 176869740 188661056 235826320 282991584 353739480 377322112 471652640 565983168 707478960 943305280 1131966336 1414957920 1886610560 2829915840 5659831680