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21774340944 = 243430754727
BaseRepresentation
bin10100010001110110…
…100001001101010000
32002012111021010110000
4110101312201031100
5324043212402234
614000351410000
71400405562366
oct242166411520
962174233400
1021774340944
1192640586a4
124278223900
132090182815
1410a7bdd636
15876906899
hex511da1350

21774340944 has 100 divisors (see below), whose sum is σ = 63227696224. Its totient is φ = 7234339392.

The previous prime is 21774340943. The next prime is 21774340963. The reversal of 21774340944 is 44904347712.

21774340944 is a `hidden beast` number, since 2 + 177 + 434 + 0 + 9 + 44 = 666.

It is a super-2 number, since 2×217743409442 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 21774340944.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21774340943) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 370509 + ... + 425235.

Almost surely, 221774340944 is an apocalyptic number.

21774340944 is a gapful number since it is divisible by the number (24) 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 21774340944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31613848112).

21774340944 is an abundant number, since it is smaller than the sum of its proper divisors (41453355280).

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

21774340944 is a wasteful number, since it uses less digits than its factorization.

21774340944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55054 (or 55039 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 21774340944 in words is "twenty-one billion, seven hundred seventy-four million, three hundred forty thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 307 324 432 614 648 921 1228 1296 1842 2456 2763 3684 4912 5526 7368 8289 11052 14736 16578 22104 24867 33156 44208 49734 54727 66312 99468 109454 132624 164181 198936 218908 328362 397872 437816 492543 656724 875632 985086 1313448 1477629 1970172 2626896 2955258 3940344 4432887 5910516 7880688 8865774 11821032 16801189 17731548 23642064 33602378 35463096 50403567 67204756 70926192 100807134 134409512 151210701 201614268 268819024 302421402 403228536 453632103 604842804 806457072 907264206 1209685608 1360896309 1814528412 2419371216 2721792618 3629056824 5443585236 7258113648 10887170472 21774340944