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66109344 = 253798377
BaseRepresentation
bin1111110000101…
…1111110100000
311121101200222020
43330023332200
5113410444334
610320541440
71431630420
oct374137640
9147350866
1066109344
1134353a24
121a181880
1310908972
148acc480
155c0ce49
hex3f0bfa0

66109344 has 48 divisors (see below), whose sum is σ = 198330048. Its totient is φ = 18888192.

The previous prime is 66109339. The next prime is 66109397. The reversal of 66109344 is 44390166.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×661093442 = 8740890728220672, which contains 22 as substring.

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, 48517 + ... + 49860.

It is an arithmetic number, because the mean of its divisors is an integer number (4131876).

Almost surely, 266109344 is an apocalyptic number.

It is an amenable number.

66109344 is an abundant number, since it is smaller than the sum of its proper divisors (132220704).

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

66109344 is a wasteful number, since it uses less digits than its factorization.

66109344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98397 (or 98389 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 66109344 is about 8130.7652776353. The cubic root of 66109344 is about 404.3470533477.

It can be divided in two parts, 661093 and 44, that multiplied together give a palindrome (29088092).

The spelling of 66109344 in words is "sixty-six million, one hundred nine thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 98377 196754 295131 393508 590262 688639 787016 1180524 1377278 1574032 2065917 2361048 2754556 3148064 4131834 4722096 5509112 8263668 9444192 11018224 16527336 22036448 33054672 66109344