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66696096 = 25343107151
BaseRepresentation
bin1111111001101…
…1001110100000
311122111111211210
43332123032200
5114033233341
610341310120
71436623155
oct376331640
9148444753
1066696096
1134714845
121a405340
1310a82a5c
148c0222c
155cc6c16
hex3f9b3a0

66696096 has 96 divisors (see below), whose sum is σ = 182020608. Its totient is φ = 21369600.

The previous prime is 66696079. The next prime is 66696107. The reversal of 66696096 is 69069666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 441621 + ... + 441771.

It is an arithmetic number, because the mean of its divisors is an integer number (1896048).

Almost surely, 266696096 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 66696096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91010304).

66696096 is an abundant number, since it is smaller than the sum of its proper divisors (115324512).

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

66696096 is a wasteful number, since it uses less digits than its factorization.

66696096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 629856, while the sum is 48.

The square root of 66696096 is about 8166.7677816870. The cubic root of 66696096 is about 405.5397893108.

It can be divided in two parts, 666 and 96096, that multiplied together give a palindrome (63999936).

The spelling of 66696096 in words is "sixty-six million, six hundred ninety-six thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 86 96 107 129 151 172 214 258 302 321 344 428 453 516 604 642 688 856 906 1032 1208 1284 1376 1712 1812 2064 2416 2568 3424 3624 4128 4601 4832 5136 6493 7248 9202 10272 12986 13803 14496 16157 18404 19479 25972 27606 32314 36808 38958 48471 51944 55212 64628 73616 77916 96942 103888 110424 129256 147232 155832 193884 207776 220848 258512 311664 387768 441696 517024 623328 694751 775536 1389502 1551072 2084253 2779004 4168506 5558008 8337012 11116016 16674024 22232032 33348048 66696096