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21780655272 = 23331718132771
BaseRepresentation
bin10100010010001110…
…100110110010101000
32002012221010221002000
4110102032212302220
5324101321432042
614001135011000
71400513341455
oct242216466250
962187127060
1021780655272
119267680752
12427a369a60
1320915838cc
1410a89a482c
1587725274c
hex5123a6ca8

21780655272 has 128 divisors (see below), whose sum is σ = 64416643200. Its totient is φ = 6795187200.

The previous prime is 21780655243. The next prime is 21780655279. The reversal of 21780655272 is 27255608712.

21780655272 is a `hidden beast` number, since 2 + 17 + 80 + 6 + 552 + 7 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (21780655279) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 648247 + ... + 681017.

It is an arithmetic number, because the mean of its divisors is an integer number (503255025).

Almost surely, 221780655272 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 21780655272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32208321600).

21780655272 is an abundant number, since it is smaller than the sum of its proper divisors (42635987928).

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

21780655272 is a wasteful number, since it uses less digits than its factorization.

21780655272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32984 (or 32974 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The spelling of 21780655272 in words is "twenty-one billion, seven hundred eighty million, six hundred fifty-five thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 102 108 136 153 181 204 216 306 362 408 459 543 612 724 918 1086 1224 1448 1629 1836 2172 3077 3258 3672 4344 4887 6154 6516 9231 9774 12308 13032 18462 19548 24616 27693 32771 36924 39096 55386 65542 73848 83079 98313 110772 131084 166158 196626 221544 262168 294939 332316 393252 557107 589878 664632 786504 884817 1114214 1179756 1671321 1769634 2228428 2359512 3342642 3539268 4456856 5013963 5931551 6685284 7078536 10027926 11863102 13370568 15041889 17794653 20055852 23726204 30083778 35589306 40111704 47452408 53383959 60167556 71178612 100836367 106767918 120335112 142357224 160151877 201672734 213535836 302509101 320303754 403345468 427071672 605018202 640607508 806690936 907527303 1210036404 1281215016 1815054606 2420072808 2722581909 3630109212 5445163818 7260218424 10890327636 21780655272