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20213685408 = 2537231138617
BaseRepresentation
bin10010110100110101…
…000101110010100000
31221011201121121112010
4102310311011302200
5312344200413113
613141441232520
71313625330300
oct226465056240
957151547463
1020213685408
11863310a034
123b01632740
131ba1a440c7
14d9a82b600
157d48ca1c3
hex4b4d45ca0

20213685408 has 144 divisors (see below), whose sum is σ = 63715486464. Its totient is φ = 5588997120.

The previous prime is 20213685347. The next prime is 20213685409. The reversal of 20213685408 is 80458631202.

It is not an unprimeable number, because it can be changed into a prime (20213685409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76516 + ... + 215132.

It is an arithmetic number, because the mean of its divisors is an integer number (442468656).

Almost surely, 220213685408 is an apocalyptic number.

20213685408 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20213685408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31857743232).

20213685408 is an abundant number, since it is smaller than the sum of its proper divisors (43501801056).

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

20213685408 is a wasteful number, since it uses less digits than its factorization.

20213685408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138675 (or 138660 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The spelling of 20213685408 in words is "twenty billion, two hundred thirteen million, six hundred eighty-five thousand, four hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 49 56 62 84 93 96 98 112 124 147 168 186 196 217 224 248 294 336 372 392 434 496 588 651 672 744 784 868 992 1176 1302 1488 1519 1568 1736 2352 2604 2976 3038 3472 4557 4704 5208 6076 6944 9114 10416 12152 18228 20832 24304 36456 48608 72912 138617 145824 277234 415851 554468 831702 970319 1108936 1663404 1940638 2217872 2910957 3326808 3881276 4297127 4435744 5821914 6653616 6792233 7762552 8594254 11643828 12891381 13307232 13584466 15525104 17188508 20376699 23287656 25782762 27168932 30079889 31050208 34377016 40753398 46575312 51565524 54337864 60159778 68754032 81506796 90239667 93150624 103131048 108675728 120319556 137508064 163013592 180479334 206262096 210559223 217351456 240639112 326027184 360958668 412524192 421118446 481278224 631677669 652054368 721917336 842236892 962556448 1263355338 1443834672 1684473784 2526710676 2887669344 3368947568 5053421352 6737895136 10106842704 20213685408