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20917337856 = 283235322343
BaseRepresentation
bin10011011110110001…
…010011111100000000
31222222202122212012220
4103132301103330000
5320314314302411
613335335051040
71340231303202
oct233661237400
958882585186
1020917337856
118964323588
124079210a80
131c84761abc
141026076772
1582656eb06
hex4dec53f00

20917337856 has 144 divisors (see below), whose sum is σ = 59189792256. Its totient is φ = 6543167488.

The previous prime is 20917337813. The next prime is 20917337911. The reversal of 20917337856 is 65873371902.

It is a junction number, because it is equal to n+sod(n) for n = 20917337799 and 20917337808.

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, 925021 + ... + 947363.

It is an arithmetic number, because the mean of its divisors is an integer number (411040224).

Almost surely, 220917337856 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 20917337856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29594896128).

20917337856 is an abundant number, since it is smaller than the sum of its proper divisors (38272454400).

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

20917337856 is a wasteful number, since it uses less digits than its factorization.

20917337856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22438 (or 22424 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 51.

The spelling of 20917337856 in words is "twenty billion, nine hundred seventeen million, three hundred thirty-seven thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 53 64 69 92 96 106 128 138 159 184 192 212 256 276 318 368 384 424 552 636 736 768 848 1104 1219 1272 1472 1696 2208 2438 2544 2944 3392 3657 4416 4876 5088 5888 6784 7314 8832 9752 10176 13568 14628 17664 19504 20352 22343 29256 39008 40704 44686 58512 67029 78016 89372 117024 134058 156032 178744 234048 268116 312064 357488 468096 513889 536232 714976 936192 1027778 1072464 1184179 1429952 1541667 2055556 2144928 2368358 2859904 3083334 3552537 4111112 4289856 4736716 5719808 6166668 7105074 8222224 8579712 9473432 12333336 14210148 16444448 17159424 18946864 24666672 27236117 28420296 32888896 37893728 49333344 54472234 56840592 65777792 75787456 81708351 98666688 108944468 113681184 131555584 151574912 163416702 197333376 217888936 227362368 303149824 326833404 394666752 435777872 454724736 653666808 871555744 909449472 1307333616 1743111488 2614667232 3486222976 5229334464 6972445952 10458668928 20917337856