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20461366016 = 287131735077
BaseRepresentation
bin10011000011100101…
…111010101100000000
31221210222200002102222
4103003211322230000
5313401102203031
613222210030212
71323023512220
oct230345725400
957728602388
1020461366016
11874a9a9153
123b70578368
131c11153b90
14dc16a2080
157eb501e7b
hex4c397ab00

20461366016 has 144 divisors (see below), whose sum is σ = 50568592704. Its totient is φ = 8046231552.

The previous prime is 20461365997. The next prime is 20461366031. The reversal of 20461366016 is 61066316402.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4027670 + ... + 4032746.

Almost surely, 220461366016 is an apocalyptic number.

20461366016 is a gapful number since it is divisible by the number (26) 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 20461366016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25284296352).

20461366016 is an abundant number, since it is smaller than the sum of its proper divisors (30107226688).

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

20461366016 is a wasteful number, since it uses less digits than its factorization.

20461366016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5286 (or 5272 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 35.

The spelling of 20461366016 in words is "twenty billion, four hundred sixty-one million, three hundred sixty-six thousand, sixteen".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 128 173 182 208 224 256 346 364 416 448 692 728 832 896 1211 1384 1456 1664 1792 2249 2422 2768 2912 3328 4498 4844 5077 5536 5824 8996 9688 10154 11072 11648 15743 17992 19376 20308 22144 23296 31486 35539 35984 38752 40616 44288 62972 66001 71078 71968 77504 81232 125944 132002 142156 143936 155008 162464 251888 264004 284312 287872 310016 324928 462007 503776 528008 568624 575744 649856 878321 924014 1007552 1056016 1137248 1299712 1756642 1848028 2015104 2112032 2274496 3513284 3696056 4030208 4224064 4548992 6148247 7026568 7392112 8448128 9097984 11418173 12296494 14053136 14784224 16896256 22836346 24592988 28106272 29568448 45672692 49185976 56212544 59136896 79927211 91345384 98371952 112425088 118273792 159854422 182690768 196743904 224850176 319708844 365381536 393487808 639417688 730763072 786975616 1278835376 1461526144 1573951232 2557670752 2923052288 5115341504 10230683008 20461366016