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10822447416 = 23311235773089
BaseRepresentation
bin10100001010001000…
…10111000100111000
31000221020100021212210
422011010113010320
5134131021304131
64545522335120
7532122166554
oct120504270470
930836307783
1010822447416
114653a97a20
1221204ba4a0
1310361cc751
14749492864
154351bb146
hex285117138

10822447416 has 128 divisors (see below), whose sum is σ = 30862425600. Its totient is φ = 3130490880.

The previous prime is 10822447409. The next prime is 10822447507. The reversal of 10822447416 is 61474422801.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3502000 + ... + 3505088.

It is an arithmetic number, because the mean of its divisors is an integer number (241112700).

Almost surely, 210822447416 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 10822447416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15431212800).

10822447416 is an abundant number, since it is smaller than the sum of its proper divisors (20039978184).

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

10822447416 is a wasteful number, since it uses less digits than its factorization.

10822447416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3709 (or 3705 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The spelling of 10822447416 in words is "ten billion, eight hundred twenty-two million, four hundred forty-seven thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 22 23 24 33 44 46 66 69 88 92 132 138 184 253 264 276 506 552 577 759 1012 1154 1518 1731 2024 2308 3036 3089 3462 4616 6072 6178 6347 6924 9267 12356 12694 13271 13848 18534 19041 24712 25388 26542 33979 37068 38082 39813 50776 53084 67958 71047 74136 76164 79626 101937 106168 135916 142094 145981 152328 159252 203874 213141 271832 284188 291962 318504 407748 426282 437943 568376 583924 781517 815496 852564 875886 1167848 1563034 1705128 1751772 1782353 2344551 3126068 3503544 3564706 4689102 5347059 6252136 7129412 9378204 10694118 14258824 18756408 19605883 21388236 39211766 40994119 42776472 58817649 78423532 81988238 117635298 122982357 156847064 163976476 235270596 245964714 327952952 450935309 470541192 491929428 901870618 983858856 1352805927 1803741236 2705611854 3607482472 5411223708 10822447416