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147681664 = 271326827
BaseRepresentation
bin10001100110101…
…11000110000000
3101021220000011021
420303113012000
5300301303124
622353155224
73442162534
oct1063270600
9337800137
10147681664
11763a9469
124155bb14
1324799900
1415883bc4
15ce727e4
hex8cd7180

147681664 has 48 divisors (see below), whose sum is σ = 318628620. Its totient is φ = 68150784.

The previous prime is 147681649. The next prime is 147681673. The reversal of 147681664 is 466186741.

It is a self number, because there is not a number n which added to its sum of digits gives 147681664.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 18219 + ... + 25045.

Almost surely, 2147681664 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 147681664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159314310).

147681664 is an abundant number, since it is smaller than the sum of its proper divisors (170946956).

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

147681664 is an equidigital number, since it uses as much as digits as its factorization.

147681664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6867 (or 6842 counting only the distinct ones).

The product of its digits is 193536, while the sum is 43.

The square root of 147681664 is about 12152.4344886117. The cubic root of 147681664 is about 528.5777269833.

The spelling of 147681664 in words is "one hundred forty-seven million, six hundred eighty-one thousand, six hundred sixty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 169 208 338 416 676 832 1352 1664 2704 5408 6827 10816 13654 21632 27308 54616 88751 109232 177502 218464 355004 436928 710008 873856 1153763 1420016 2307526 2840032 4615052 5680064 9230104 11360128 18460208 36920416 73840832 147681664