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27634407696 = 24327219792
BaseRepresentation
bin11001101111001000…
…111001100100010000
32122022220000100210100
4121233020321210100
5423043402021241
620410045132400
71665543406200
oct315710714420
978286010710
1027634407696
11107a09a2575
12543285a100
1327b526573c
1414a21c4400
15abb0ec9b6
hex66f239910

27634407696 has 135 divisors (see below), whose sum is σ = 90010048791. Its totient is φ = 7891555392.

The previous prime is 27634407679. The next prime is 27634407739. The reversal of 27634407696 is 69670443672.

The square root of 27634407696 is 166236.

It is a perfect power (a square), and thus also a powerful number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 13962835 + ... + 13964813.

Almost surely, 227634407696 is an apocalyptic number.

27634407696 is the 166236-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27634407696

27634407696 is an abundant number, since it is smaller than the sum of its proper divisors (62375641095).

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

27634407696 is an equidigital number, since it uses as much as digits as its factorization.

27634407696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3986 (or 1991 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 54.

The spelling of 27634407696 in words is "twenty-seven billion, six hundred thirty-four million, four hundred seven thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 112 126 144 147 168 196 252 294 336 392 441 504 588 784 882 1008 1176 1764 1979 2352 3528 3958 5937 7056 7916 11874 13853 15832 17811 23748 27706 31664 35622 41559 47496 55412 71244 83118 94992 96971 110824 124677 142488 166236 193942 221648 249354 284976 290913 332472 387884 498708 581826 664944 775768 872739 997416 1163652 1551536 1745478 1994832 2327304 3490956 3916441 4654608 6981912 7832882 11749323 13963824 15665764 23498646 27415087 31331528 35247969 46997292 54830174 62663056 70495938 82245261 93994584 109660348 140991876 164490522 187989168 191905609 219320696 246735783 281983752 328981044 383811218 438641392 493471566 563967504 575716827 657962088 767622436 986943132 1151433654 1315924176 1535244872 1727150481 1973886264 2302867308 3070489744 3454300962 3947772528 4605734616 6908601924 9211469232 13817203848 27634407696