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22661836672 = 271753196499
BaseRepresentation
bin10101000110110000…
…000010111110000000
32011111100020120201011
4111012300002332000
5332402412233142
614224413450304
71431403301446
oct250660027600
964440216634
1022661836672
11967a01a342
1244854a0994
1321a1cbb817
14114da22b96
158c97b3417
hex546c02f80

22661836672 has 64 divisors (see below), whose sum is σ = 48704490000. Its totient is φ = 10463125504.

The previous prime is 22661836667. The next prime is 22661836679. The reversal of 22661836672 is 27663816622.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22661836679) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 17079 + ... + 213577.

Almost surely, 222661836672 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 22661836672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24352245000).

22661836672 is an abundant number, since it is smaller than the sum of its proper divisors (26042653328).

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

22661836672 is a wasteful number, since it uses less digits than its factorization.

22661836672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196583 (or 196571 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 49.

The spelling of 22661836672 in words is "twenty-two billion, six hundred sixty-one million, eight hundred thirty-six thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 17 32 34 53 64 68 106 128 136 212 272 424 544 848 901 1088 1696 1802 2176 3392 3604 6784 7208 14416 28832 57664 115328 196499 392998 785996 1571992 3143984 3340483 6287968 6680966 10414447 12575936 13361932 20828894 25151872 26723864 41657788 53447728 83315576 106895456 166631152 177045599 213790912 333262304 354091198 427581824 666524608 708182396 1333049216 1416364792 2832729584 5665459168 11330918336 22661836672