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66719744 = 212713179
BaseRepresentation
bin1111111010000…
…1000000000000
311122112201021122
43332201000000
5114040012434
610342011412
71440052130
oct376410000
9148481248
1066719744
1134730593
121a416b68
1310a90750
148c0aac0
155ccdc2e
hex3fa1000

66719744 has 104 divisors (see below), whose sum is σ = 165130560. Its totient is φ = 26247168.

The previous prime is 66719717. The next prime is 66719753. The reversal of 66719744 is 44791766.

It is a tau number, because it is divible by the number of its divisors (104).

It is a junction number, because it is equal to n+sod(n) for n = 66719695 and 66719704.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 372647 + ... + 372825.

Almost surely, 266719744 is an apocalyptic number.

66719744 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66719744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82565280).

66719744 is an abundant number, since it is smaller than the sum of its proper divisors (98410816).

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

66719744 is a wasteful number, since it uses less digits than its factorization.

66719744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 201 counting only the distinct ones).

The product of its digits is 254016, while the sum is 44.

The square root of 66719744 is about 8168.2154721824. The cubic root of 66719744 is about 405.5877135138.

The spelling of 66719744 in words is "sixty-six million, seven hundred nineteen thousand, seven hundred forty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 128 179 182 208 224 256 358 364 416 448 512 716 728 832 896 1024 1253 1432 1456 1664 1792 2048 2327 2506 2864 2912 3328 3584 4096 4654 5012 5728 5824 6656 7168 9308 10024 11456 11648 13312 14336 16289 18616 20048 22912 23296 26624 28672 32578 37232 40096 45824 46592 53248 65156 74464 80192 91648 93184 130312 148928 160384 183296 186368 260624 297856 320768 366592 372736 521248 595712 641536 733184 1042496 1191424 1283072 2084992 2382848 2566144 4169984 4765696 5132288 8339968 9531392 16679936 33359872 66719744