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66341524416 = 26312712592161
BaseRepresentation
bin111101110010010000…
…110101001111000000
320100020110021121211220
4331302100311033000
52041331412240131
650251001035040
74536001440036
oct756220651700
9210213247756
1066341524416
1126154074232
1210a35785a80
1363435023bb
1432d4ba4556
151ad434ce96
hexf724353c0

66341524416 has 112 divisors (see below), whose sum is σ = 177133178880. Its totient is φ = 21912145920.

The previous prime is 66341524393. The next prime is 66341524427. The reversal of 66341524416 is 61442514366.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30698376 + ... + 30700536.

It is an arithmetic number, because the mean of its divisors is an integer number (1581546240).

Almost surely, 266341524416 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 66341524416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88566589440).

66341524416 is an abundant number, since it is smaller than the sum of its proper divisors (110791654464).

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

66341524416 is a wasteful number, since it uses less digits than its factorization.

66341524416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3562 (or 3552 counting only the distinct ones).

The product of its digits is 414720, while the sum is 42.

The spelling of 66341524416 in words is "sixty-six billion, three hundred forty-one million, five hundred twenty-four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 127 192 254 381 508 762 1016 1259 1524 2032 2161 2518 3048 3777 4064 4322 5036 6096 6483 7554 8128 8644 10072 12192 12966 15108 17288 20144 24384 25932 30216 34576 40288 51864 60432 69152 80576 103728 120864 138304 159893 207456 241728 274447 319786 414912 479679 548894 639572 823341 959358 1097788 1279144 1646682 1918716 2195576 2558288 2720699 3293364 3837432 4391152 5116576 5441398 6586728 7674864 8162097 8782304 10233152 10882796 13173456 15349728 16324194 17564608 21765592 26346912 30699456 32648388 43531184 52693824 65296776 87062368 130593552 174124736 261187104 345528773 522374208 691057546 1036586319 1382115092 2073172638 2764230184 4146345276 5528460368 8292690552 11056920736 16585381104 22113841472 33170762208 66341524416