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20210768656 = 24132331713327
BaseRepresentation
bin10010110100101001…
…111101101100010000
31221011112010102111021
4102310221331230100
5312342424044111
613141254525224
71313561461531
oct226451755420
957145112437
1020210768656
1186314a76a1
123b00666814
131ba1262610
14d9a2ac688
157d4500d71
hex4b4a7db10

20210768656 has 80 divisors (see below), whose sum is σ = 44146174464. Its totient is φ = 8893665792.

The previous prime is 20210768647. The next prime is 20210768693. The reversal of 20210768656 is 65686701202.

It is a super-3 number, since 3×202107686563 (a number of 32 digits) contains 333 as substring.

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, 1509865 + ... + 1523191.

Almost surely, 220210768656 is an apocalyptic number.

20210768656 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 20210768656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22073087232).

20210768656 is an abundant number, since it is smaller than the sum of its proper divisors (23935405808).

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

20210768656 is a wasteful number, since it uses less digits than its factorization.

20210768656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13688 (or 13682 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 43.

The spelling of 20210768656 in words is "twenty billion, two hundred ten million, seven hundred sixty-eight thousand, six hundred fifty-six".

Divisors: 1 2 4 8 13 16 23 26 46 52 92 104 184 208 299 317 368 598 634 1196 1268 2392 2536 4121 4784 5072 7291 8242 13327 14582 16484 26654 29164 32968 53308 58328 65936 94783 106616 116656 173251 189566 213232 306521 346502 379132 613042 693004 758264 1226084 1386008 1516528 2452168 2772016 3984773 4224659 4904336 7969546 8449318 15939092 16898636 31878184 33797272 54920567 63756368 67594544 97167157 109841134 194334314 219682268 388668628 439364536 777337256 878729072 1263173041 1554674512 2526346082 5052692164 10105384328 20210768656