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668845056 = 21031119793
BaseRepresentation
bin100111110111011…
…100010000000000
31201121112211221010
4213313130100000
52332211020211
6150211400520
722401042405
oct4767342000
91647484833
10668845056
11313600210
12167bb3140
13a8751809
1464b882ac
153dabb4a6
hex27ddc400

668845056 has 88 divisors (see below), whose sum is σ = 1944879264. Its totient is φ = 202670080.

The previous prime is 668845039. The next prime is 668845061. The reversal of 668845056 is 650548866.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (88).

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

It is a junction number, because it is equal to n+sod(n) for n = 668844996 and 668845014.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23896 + ... + 43688.

Almost surely, 2668845056 is an apocalyptic number.

668845056 is a gapful number since it is divisible by the number (66) 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 668845056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (972439632).

668845056 is an abundant number, since it is smaller than the sum of its proper divisors (1276034208).

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

668845056 is a wasteful number, since it uses less digits than its factorization.

668845056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19827 (or 19809 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 48.

The square root of 668845056 is about 25862.0388987411. The cubic root of 668845056 is about 874.5309294288.

The spelling of 668845056 in words is "six hundred sixty-eight million, eight hundred forty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 512 528 704 768 1024 1056 1408 1536 2112 2816 3072 4224 5632 8448 11264 16896 19793 33792 39586 59379 79172 118758 158344 217723 237516 316688 435446 475032 633376 653169 870892 950064 1266752 1306338 1741784 1900128 2533504 2612676 3483568 3800256 5067008 5225352 6967136 7600512 10134016 10450704 13934272 15201024 20268032 20901408 27868544 30402048 41802816 55737088 60804096 83605632 111474176 167211264 222948352 334422528 668845056