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22679467984 = 2417434741257
BaseRepresentation
bin10101000111110011…
…010011011111010000
32011112120102100022201
4111013303103133100
5332421420433414
614230243412544
71432006203625
oct250763233720
964476370281
1022679467984
119688a71a78
12448b384154
1321a5852a54
1411520d234c
158cb0e7574
hex547cd37d0

22679467984 has 80 divisors (see below), whose sum is σ = 48622387968. Its totient is φ = 10202443776.

The previous prime is 22679467981. The next prime is 22679467997. The reversal of 22679467984 is 48976497622.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22679467981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 529084 + ... + 570340.

Almost surely, 222679467984 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 22679467984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24311193984).

22679467984 is an abundant number, since it is smaller than the sum of its proper divisors (25942919984).

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

22679467984 is a wasteful number, since it uses less digits than its factorization.

22679467984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41372 (or 41366 counting only the distinct ones).

The product of its digits is 73156608, while the sum is 64.

The spelling of 22679467984 in words is "twenty-two billion, six hundred seventy-nine million, four hundred sixty-seven thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 17 34 43 47 68 86 94 136 172 188 272 344 376 688 731 752 799 1462 1598 2021 2924 3196 4042 5848 6392 8084 11696 12784 16168 32336 34357 41257 68714 82514 137428 165028 274856 330056 549712 660112 701369 1402738 1774051 1939079 2805476 3548102 3878158 5610952 7096204 7756316 11221904 14192408 15512632 28384816 30158867 31025264 32964343 60317734 65928686 83380397 120635468 131857372 166760794 241270936 263714744 333521588 482541872 527429488 667043176 1334086352 1417466749 2834933498 5669866996 11339733992 22679467984