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668701488 = 243713295279
BaseRepresentation
bin100111110110111…
…001001100110000
31201121021112222210
4213312321030300
52332141421423
6150204332120
722366604010
oct4766711460
91647245883
10668701488
11313512364
12167b44040
13a8701370
1464b4bc40
153da8db93
hex27db9330

668701488 has 160 divisors (see below), whose sum is σ = 2199859200. Its totient is φ = 170247168.

The previous prime is 668701487. The next prime is 668701489. The reversal of 668701488 is 884107866.

It is an interprime number because it is at equal distance from previous prime (668701487) and next prime (668701489).

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

It is not an unprimeable number, because it can be changed into a prime (668701487) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 124033 + ... + 129311.

It is an arithmetic number, because the mean of its divisors is an integer number (13749120).

Almost surely, 2668701488 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 668701488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1099929600).

668701488 is an abundant number, since it is smaller than the sum of its proper divisors (1531157712).

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

668701488 is a wasteful number, since it uses less digits than its factorization.

668701488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5339 (or 5333 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 48.

The square root of 668701488 is about 25859.2630985494. The cubic root of 668701488 is about 874.4683520850.

668701488 divided by its sum of digits (48) gives a triangular number (13931281 = T5278).

The spelling of 668701488 in words is "six hundred sixty-eight million, seven hundred one thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 29 39 42 48 52 56 58 78 84 87 91 104 112 116 156 168 174 182 203 208 232 273 312 336 348 364 377 406 464 546 609 624 696 728 754 812 1092 1131 1218 1392 1456 1508 1624 2184 2262 2436 2639 3016 3248 4368 4524 4872 5278 5279 6032 7917 9048 9744 10556 10558 15834 15837 18096 21112 21116 31668 31674 36953 42224 42232 63336 63348 68627 73906 84464 110859 126672 126696 137254 147812 153091 205881 221718 253392 274508 295624 306182 411762 443436 459273 480389 549016 591248 612364 823524 886872 918546 960778 1071637 1098032 1224728 1441167 1647048 1773744 1837092 1921556 1990183 2143274 2449456 2882334 3214911 3294096 3674184 3843112 3980366 4286548 5764668 5970549 6429822 7348368 7686224 7960732 8573096 11529336 11941098 12859644 13931281 15921464 17146192 23058672 23882196 25719288 27862562 31842928 41793843 47764392 51438576 55725124 83587686 95528784 111450248 167175372 222900496 334350744 668701488