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668147712 = 213331877
BaseRepresentation
bin100111110100110…
…010000000000000
31201120020102100120
4213310302000000
52332021211322
6150144420240
722362106341
oct4764620000
91646212316
10668147712
113131742a1
12167917680
13a856929b
1464a460c8
153d9cea5c
hex27d32000

668147712 has 112 divisors (see below), whose sum is σ = 1841187072. Its totient is φ = 215285760.

The previous prime is 668147699. The next prime is 668147729. The reversal of 668147712 is 217741866.

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, 761418 + ... + 762294.

Almost surely, 2668147712 is an apocalyptic number.

668147712 is a gapful number since it is divisible by the number (62) 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 668147712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (920593536).

668147712 is an abundant number, since it is smaller than the sum of its proper divisors (1173039360).

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

668147712 is an equidigital number, since it uses as much as digits as its factorization.

668147712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 937 (or 913 counting only the distinct ones).

The product of its digits is 112896, while the sum is 42.

The square root of 668147712 is about 25848.5533831199. The cubic root of 668147712 is about 874.2268924133.

The spelling of 668147712 in words is "six hundred sixty-eight million, one hundred forty-seven thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 256 372 384 496 512 744 768 877 992 1024 1488 1536 1754 1984 2048 2631 2976 3072 3508 3968 4096 5262 5952 6144 7016 7936 8192 10524 11904 12288 14032 15872 21048 23808 24576 27187 28064 31744 42096 47616 54374 56128 63488 81561 84192 95232 108748 112256 126976 163122 168384 190464 217496 224512 253952 326244 336768 380928 434992 449024 652488 673536 761856 869984 898048 1304976 1347072 1739968 1796096 2609952 2694144 3479936 3592192 5219904 5388288 6959872 7184384 10439808 10776576 13919744 20879616 21553152 27839488 41759232 55678976 83518464 111357952 167036928 222715904 334073856 668147712